annotate scripts/sparse/ichol.m @ 22755:3a2b891d0b33

maint: Standardize Copyright formatting. * Makefile.am, README, build-aux/check-subst-vars.in.sh, build-aux/find-files-with-tests.sh, build-aux/mk-builtins.sh, build-aux/mk-default-qt-settings.in.sh, build-aux/mk-f77-def.in.sh, build-aux/mk-hg-id.sh, build-aux/mk-mxarray-h.in.sh, build-aux/mk-octave-config-h.sh, build-aux/mk-opts.pl, build-aux/mk-version-h.in.sh, build-aux/subst-config-vals.in.sh, build-aux/subst-cross-config-vals.in.sh, build-aux/subst-default-vals.in.sh, build-aux/subst-f77-isnan-macro.in.sh, build-aux/subst-script-vals.in.sh, configure.ac, doc/interpreter/arith.txi, doc/interpreter/audio.txi, doc/interpreter/basics.txi, doc/interpreter/bugs.txi, doc/interpreter/container.txi, doc/interpreter/cp-idx.txi, doc/interpreter/data.txi, doc/interpreter/debug.txi, doc/interpreter/diagperm.txi, doc/interpreter/diffeq.txi, doc/interpreter/errors.txi, doc/interpreter/eval.txi, doc/interpreter/expr.txi, doc/interpreter/external.txi, doc/interpreter/fn-idx.txi, doc/interpreter/func.txi, doc/interpreter/genpropdoc.m, doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m, doc/interpreter/grammar.txi, doc/interpreter/gui.txi, doc/interpreter/image.txi, doc/interpreter/install.txi, doc/interpreter/interp.txi, doc/interpreter/interpimages.m, doc/interpreter/intro.txi, doc/interpreter/io.txi, doc/interpreter/linalg.txi, doc/interpreter/macros.texi, doc/interpreter/matrix.txi, doc/interpreter/mk-doc-cache.pl, doc/interpreter/mkoctfile.1, doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi, doc/interpreter/obsolete.txi, doc/interpreter/octave-cli.1, doc/interpreter/octave-config.1, doc/interpreter/octave.1, doc/interpreter/octave.css, doc/interpreter/octave.texi, doc/interpreter/oop.txi, doc/interpreter/op-idx.txi, doc/interpreter/optim.txi, doc/interpreter/package.txi, doc/interpreter/plot.txi, doc/interpreter/plotimages.m, doc/interpreter/poly.txi, doc/interpreter/preface.txi, doc/interpreter/quad.txi, doc/interpreter/set.txi, doc/interpreter/signal.txi, doc/interpreter/sparse.txi, doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m, doc/interpreter/stats.txi, doc/interpreter/stmt.txi, doc/interpreter/strings.txi, doc/interpreter/system.txi, doc/interpreter/testfun.txi, doc/interpreter/var.txi, doc/interpreter/vectorize.txi, doc/liboctave/array.texi, doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi, doc/liboctave/dae.texi, doc/liboctave/diffeq.texi, doc/liboctave/error.texi, doc/liboctave/factor.texi, doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi, doc/liboctave/install.texi, doc/liboctave/intro.texi, doc/liboctave/liboctave.texi, doc/liboctave/matvec.texi, doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi, doc/liboctave/ode.texi, doc/liboctave/optim.texi, doc/liboctave/preface.texi, doc/liboctave/quad.texi, doc/liboctave/range.texi, doc/refcard/refcard-a4.tex, doc/refcard/refcard-legal.tex, doc/refcard/refcard-letter.tex, doc/refcard/refcard.tex, etc/HACKING, etc/icons/octave.appdata.xml.in, libgui/graphics/Backend.cc, libgui/graphics/Backend.h, libgui/graphics/BaseControl.cc, libgui/graphics/BaseControl.h, libgui/graphics/ButtonControl.cc, libgui/graphics/ButtonControl.h, libgui/graphics/ButtonGroup.cc, libgui/graphics/ButtonGroup.h, libgui/graphics/Canvas.cc, libgui/graphics/Canvas.h, libgui/graphics/CheckBoxControl.cc, libgui/graphics/CheckBoxControl.h, libgui/graphics/Container.cc, libgui/graphics/Container.h, libgui/graphics/ContextMenu.cc, libgui/graphics/ContextMenu.h, libgui/graphics/EditControl.cc, libgui/graphics/EditControl.h, libgui/graphics/Figure.cc, libgui/graphics/Figure.h, libgui/graphics/FigureWindow.cc, libgui/graphics/FigureWindow.h, libgui/graphics/GLCanvas.cc, libgui/graphics/GLCanvas.h, libgui/graphics/GenericEventNotify.h, libgui/graphics/KeyMap.cc, libgui/graphics/KeyMap.h, libgui/graphics/ListBoxControl.cc, libgui/graphics/ListBoxControl.h, libgui/graphics/Logger.cc, libgui/graphics/Logger.h, libgui/graphics/Menu.cc, libgui/graphics/Menu.h, libgui/graphics/MenuContainer.h, libgui/graphics/MouseModeActionGroup.cc, libgui/graphics/MouseModeActionGroup.h, libgui/graphics/Object.cc, libgui/graphics/Object.h, libgui/graphics/ObjectFactory.cc, libgui/graphics/ObjectFactory.h, libgui/graphics/ObjectProxy.cc, libgui/graphics/ObjectProxy.h, libgui/graphics/Panel.cc, libgui/graphics/Panel.h, libgui/graphics/PopupMenuControl.cc, libgui/graphics/PopupMenuControl.h, libgui/graphics/PushButtonControl.cc, libgui/graphics/PushButtonControl.h, libgui/graphics/PushTool.cc, libgui/graphics/PushTool.h, libgui/graphics/QtHandlesUtils.cc, libgui/graphics/QtHandlesUtils.h, libgui/graphics/RadioButtonControl.cc, libgui/graphics/RadioButtonControl.h, libgui/graphics/SliderControl.cc, libgui/graphics/SliderControl.h, libgui/graphics/TextControl.cc, libgui/graphics/TextControl.h, libgui/graphics/TextEdit.cc, libgui/graphics/TextEdit.h, libgui/graphics/ToggleButtonControl.cc, libgui/graphics/ToggleButtonControl.h, libgui/graphics/ToggleTool.cc, libgui/graphics/ToggleTool.h, libgui/graphics/ToolBar.cc, libgui/graphics/ToolBar.h, libgui/graphics/ToolBarButton.cc, libgui/graphics/ToolBarButton.h, libgui/graphics/__init_qt__.cc, libgui/graphics/__init_qt__.h, libgui/graphics/annotation-dialog.cc, libgui/graphics/annotation-dialog.h, libgui/graphics/gl-select.cc, libgui/graphics/gl-select.h, libgui/src/color-picker.cc, libgui/src/color-picker.h, libgui/src/dialog.cc, libgui/src/dialog.h, libgui/src/documentation-dock-widget.cc, libgui/src/documentation-dock-widget.h, libgui/src/files-dock-widget.cc, libgui/src/files-dock-widget.h, libgui/src/find-files-dialog.cc, libgui/src/find-files-dialog.h, libgui/src/find-files-model.cc, libgui/src/find-files-model.h, libgui/src/history-dock-widget.cc, libgui/src/history-dock-widget.h, libgui/src/liboctgui-build-info.h, libgui/src/liboctgui-build-info.in.cc, libgui/src/m-editor/file-editor-interface.h, libgui/src/m-editor/file-editor-tab.cc, libgui/src/m-editor/file-editor-tab.h, libgui/src/m-editor/file-editor.cc, libgui/src/m-editor/file-editor.h, libgui/src/m-editor/find-dialog.cc, libgui/src/m-editor/find-dialog.h, libgui/src/m-editor/marker.cc, libgui/src/m-editor/marker.h, libgui/src/m-editor/octave-qscintilla.cc, libgui/src/m-editor/octave-qscintilla.h, libgui/src/m-editor/octave-txt-lexer.cc, libgui/src/m-editor/octave-txt-lexer.h, libgui/src/main-window.cc, libgui/src/main-window.h, libgui/src/octave-cmd.cc, libgui/src/octave-cmd.h, libgui/src/octave-dock-widget.cc, libgui/src/octave-dock-widget.h, libgui/src/octave-gui.cc, libgui/src/octave-gui.h, libgui/src/octave-interpreter.cc, libgui/src/octave-interpreter.h, libgui/src/octave-qt-link.cc, libgui/src/octave-qt-link.h, libgui/src/qtinfo/parser.cc, libgui/src/qtinfo/parser.h, libgui/src/qtinfo/webinfo.cc, libgui/src/qtinfo/webinfo.h, libgui/src/resource-manager.cc, libgui/src/resource-manager.h, libgui/src/settings-dialog.cc, libgui/src/settings-dialog.h, libgui/src/shortcut-manager.cc, libgui/src/shortcut-manager.h, libgui/src/terminal-dock-widget.cc, libgui/src/terminal-dock-widget.h, libgui/src/thread-manager.cc, libgui/src/thread-manager.h, libgui/src/welcome-wizard.cc, libgui/src/welcome-wizard.h, libgui/src/workspace-model.cc, libgui/src/workspace-model.h, libgui/src/workspace-view.cc, libgui/src/workspace-view.h, libinterp/build-env.h, libinterp/build-env.in.cc, libinterp/builtins.h, libinterp/corefcn/Cell.cc, libinterp/corefcn/Cell.h, libinterp/corefcn/__contourc__.cc, libinterp/corefcn/__dsearchn__.cc, libinterp/corefcn/__ichol__.cc, libinterp/corefcn/__ilu__.cc, libinterp/corefcn/__lin_interpn__.cc, libinterp/corefcn/__luinc__.cc, libinterp/corefcn/__magick_read__.cc, libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc, libinterp/corefcn/balance.cc, libinterp/corefcn/base-text-renderer.h, libinterp/corefcn/besselj.cc, libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc, libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc, libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/call-stack.cc, libinterp/corefcn/call-stack.h, libinterp/corefcn/cdisplay.c, libinterp/corefcn/cdisplay.h, libinterp/corefcn/cellfun.cc, libinterp/corefcn/coct-hdf5-types.c, libinterp/corefcn/colloc.cc, libinterp/corefcn/comment-list.cc, libinterp/corefcn/comment-list.h, libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc, libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc, libinterp/corefcn/data.cc, libinterp/corefcn/data.h, libinterp/corefcn/debug.cc, libinterp/corefcn/debug.h, libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h, libinterp/corefcn/defun-dld.h, libinterp/corefcn/defun-int.h, libinterp/corefcn/defun.cc, libinterp/corefcn/defun.h, libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc, libinterp/corefcn/dirfns.h, libinterp/corefcn/display.cc, libinterp/corefcn/display.h, libinterp/corefcn/dlmread.cc, libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc, libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc, libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc, libinterp/corefcn/error.h, libinterp/corefcn/errwarn.cc, libinterp/corefcn/errwarn.h, libinterp/corefcn/event-queue.cc, libinterp/corefcn/event-queue.h, libinterp/corefcn/fft.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc, libinterp/corefcn/file-io.cc, libinterp/corefcn/file-io.h, libinterp/corefcn/filter.cc, libinterp/corefcn/find.cc, libinterp/corefcn/ft-text-renderer.cc, libinterp/corefcn/ft-text-renderer.h, libinterp/corefcn/gammainc.cc, libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc, libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc, libinterp/corefcn/givens.cc, libinterp/corefcn/gl-render.cc, libinterp/corefcn/gl-render.h, libinterp/corefcn/gl2ps-print.cc, libinterp/corefcn/gl2ps-print.h, libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h, libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h, libinterp/corefcn/gsvd.cc, libinterp/corefcn/hash.cc, libinterp/corefcn/help.cc, libinterp/corefcn/help.h, libinterp/corefcn/hess.cc, libinterp/corefcn/hex2num.cc, libinterp/corefcn/hook-fcn.cc, libinterp/corefcn/hook-fcn.h, libinterp/corefcn/input.cc, libinterp/corefcn/input.h, libinterp/corefcn/interpreter.cc, libinterp/corefcn/interpreter.h, libinterp/corefcn/inv.cc, libinterp/corefcn/jit-ir.cc, libinterp/corefcn/jit-ir.h, libinterp/corefcn/jit-typeinfo.cc, libinterp/corefcn/jit-typeinfo.h, libinterp/corefcn/jit-util.cc, libinterp/corefcn/jit-util.h, libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc, libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc, libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc, libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-ascii-helper.h, libinterp/corefcn/ls-hdf5.cc, libinterp/corefcn/ls-hdf5.h, libinterp/corefcn/ls-mat-ascii.cc, libinterp/corefcn/ls-mat-ascii.h, libinterp/corefcn/ls-mat4.cc, libinterp/corefcn/ls-mat4.h, libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h, libinterp/corefcn/ls-oct-binary.cc, libinterp/corefcn/ls-oct-binary.h, libinterp/corefcn/ls-oct-text.cc, libinterp/corefcn/ls-oct-text.h, libinterp/corefcn/ls-utils.cc, libinterp/corefcn/ls-utils.h, libinterp/corefcn/lsode.cc, libinterp/corefcn/lu.cc, libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc, libinterp/corefcn/max.cc, libinterp/corefcn/mex.cc, libinterp/corefcn/mex.h, libinterp/corefcn/mexproto.h, libinterp/corefcn/mgorth.cc, libinterp/corefcn/mxarray.in.h, libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-errno.h, libinterp/corefcn/oct-errno.in.cc, libinterp/corefcn/oct-fstrm.cc, libinterp/corefcn/oct-fstrm.h, libinterp/corefcn/oct-handle.h, libinterp/corefcn/oct-hdf5-types.cc, libinterp/corefcn/oct-hdf5-types.h, libinterp/corefcn/oct-hdf5.h, libinterp/corefcn/oct-hist.cc, libinterp/corefcn/oct-hist.h, libinterp/corefcn/oct-iostrm.cc, libinterp/corefcn/oct-iostrm.h, libinterp/corefcn/oct-lvalue.cc, libinterp/corefcn/oct-lvalue.h, libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-map.h, libinterp/corefcn/oct-obj.h, libinterp/corefcn/oct-opengl.h, libinterp/corefcn/oct-prcstrm.cc, libinterp/corefcn/oct-prcstrm.h, libinterp/corefcn/oct-procbuf.cc, libinterp/corefcn/oct-procbuf.h, libinterp/corefcn/oct-stdstrm.h, libinterp/corefcn/oct-stream.cc, libinterp/corefcn/oct-stream.h, libinterp/corefcn/oct-strstrm.cc, libinterp/corefcn/oct-strstrm.h, libinterp/corefcn/oct-tex-lexer.in.ll, libinterp/corefcn/oct-tex-parser.in.yy, libinterp/corefcn/oct.h, libinterp/corefcn/octave-default-image.h, libinterp/corefcn/octave-link.cc, libinterp/corefcn/octave-link.h, libinterp/corefcn/octave-preserve-stream-state.h, libinterp/corefcn/ordschur.cc, libinterp/corefcn/pager.cc, libinterp/corefcn/pager.h, libinterp/corefcn/pinv.cc, libinterp/corefcn/pr-output.cc, libinterp/corefcn/pr-output.h, libinterp/corefcn/procstream.cc, libinterp/corefcn/procstream.h, libinterp/corefcn/profiler.cc, libinterp/corefcn/profiler.h, libinterp/corefcn/psi.cc, libinterp/corefcn/pt-jit.cc, libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc, libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc, libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc, libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h, libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h, libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse-xpow.h, libinterp/corefcn/sparse.cc, libinterp/corefcn/spparms.cc, libinterp/corefcn/sqrtm.cc, libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc, libinterp/corefcn/svd.cc, libinterp/corefcn/sylvester.cc, libinterp/corefcn/symtab.cc, libinterp/corefcn/symtab.h, libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc, libinterp/corefcn/sysdep.h, libinterp/corefcn/text-renderer.cc, libinterp/corefcn/text-renderer.h, libinterp/corefcn/time.cc, libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h, libinterp/corefcn/tril.cc, libinterp/corefcn/tsearch.cc, libinterp/corefcn/txt-eng.cc, libinterp/corefcn/txt-eng.h, libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc, libinterp/corefcn/utils.h, libinterp/corefcn/variables.cc, libinterp/corefcn/variables.h, libinterp/corefcn/workspace-element.h, libinterp/corefcn/xdiv.cc, libinterp/corefcn/xdiv.h, libinterp/corefcn/xnorm.cc, libinterp/corefcn/xnorm.h, libinterp/corefcn/xpow.cc, libinterp/corefcn/xpow.h, libinterp/corefcn/zfstream.cc, libinterp/corefcn/zfstream.h, libinterp/deprecated-config.h, libinterp/dldfcn/__delaunayn__.cc, libinterp/dldfcn/__eigs__.cc, libinterp/dldfcn/__fltk_uigetfile__.cc, libinterp/dldfcn/__glpk__.cc, libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__init_gnuplot__.cc, libinterp/dldfcn/__osmesa_print__.cc, libinterp/dldfcn/__voronoi__.cc, libinterp/dldfcn/amd.cc, libinterp/dldfcn/audiodevinfo.cc, libinterp/dldfcn/audioread.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc, libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc, libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/gzip.cc, libinterp/dldfcn/oct-qhull.h, libinterp/dldfcn/qr.cc, libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc, libinterp/gendoc.pl, libinterp/genprops.awk, libinterp/liboctinterp-build-info.h, libinterp/liboctinterp-build-info.in.cc, libinterp/mk-errno-list, libinterp/mk-pkg-add, libinterp/mkops, libinterp/octave-value/ov-base-diag.cc, libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc, libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.cc, libinterp/octave-value/ov-base-mat.h, libinterp/octave-value/ov-base-scalar.cc, libinterp/octave-value/ov-base-scalar.h, libinterp/octave-value/ov-base-sparse.cc, libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc, libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc, libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc, libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc, libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc, libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc, libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc, libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc, libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-classdef.cc, libinterp/octave-value/ov-classdef.h, libinterp/octave-value/ov-colon.cc, libinterp/octave-value/ov-colon.h, libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-complex.h, libinterp/octave-value/ov-cs-list.cc, libinterp/octave-value/ov-cs-list.h, libinterp/octave-value/ov-cx-diag.cc, libinterp/octave-value/ov-cx-diag.h, libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-mat.h, libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-cx-sparse.h, libinterp/octave-value/ov-dld-fcn.cc, libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc, libinterp/octave-value/ov-fcn-handle.h, libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.cc, libinterp/octave-value/ov-fcn.h, libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-float.h, libinterp/octave-value/ov-flt-complex.cc, libinterp/octave-value/ov-flt-complex.h, libinterp/octave-value/ov-flt-cx-diag.cc, libinterp/octave-value/ov-flt-cx-diag.h, libinterp/octave-value/ov-flt-cx-mat.cc, libinterp/octave-value/ov-flt-cx-mat.h, libinterp/octave-value/ov-flt-re-diag.cc, libinterp/octave-value/ov-flt-re-diag.h, libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int-traits.h, libinterp/octave-value/ov-int16.cc, libinterp/octave-value/ov-int16.h, libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int32.h, libinterp/octave-value/ov-int64.cc, libinterp/octave-value/ov-int64.h, libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-int8.h, libinterp/octave-value/ov-intx.h, libinterp/octave-value/ov-java.cc, libinterp/octave-value/ov-java.h, libinterp/octave-value/ov-lazy-idx.cc, libinterp/octave-value/ov-lazy-idx.h, libinterp/octave-value/ov-mex-fcn.cc, libinterp/octave-value/ov-mex-fcn.h, libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-null-mat.h, libinterp/octave-value/ov-oncleanup.cc, libinterp/octave-value/ov-oncleanup.h, libinterp/octave-value/ov-perm.cc, libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc, libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc, libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc, libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc, libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc, libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc, libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-typeinfo.h, libinterp/octave-value/ov-uint16.cc, libinterp/octave-value/ov-uint16.h, libinterp/octave-value/ov-uint32.cc, libinterp/octave-value/ov-uint32.h, libinterp/octave-value/ov-uint64.cc, libinterp/octave-value/ov-uint64.h, libinterp/octave-value/ov-uint8.cc, libinterp/octave-value/ov-uint8.h, libinterp/octave-value/ov-usr-fcn.cc, libinterp/octave-value/ov-usr-fcn.h, libinterp/octave-value/ov.cc, libinterp/octave-value/ov.h, libinterp/octave-value/ovl.cc, libinterp/octave-value/ovl.h, libinterp/octave.cc, libinterp/octave.h, libinterp/op-kw-docs, libinterp/operators/op-b-b.cc, libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc, libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc, libinterp/operators/op-bm-sbm.cc, libinterp/operators/op-cdm-cdm.cc, libinterp/operators/op-cdm-cm.cc, libinterp/operators/op-cdm-cs.cc, libinterp/operators/op-cdm-dm.cc, libinterp/operators/op-cdm-m.cc, libinterp/operators/op-cdm-s.cc, libinterp/operators/op-cell.cc, libinterp/operators/op-chm.cc, libinterp/operators/op-class.cc, libinterp/operators/op-cm-cdm.cc, libinterp/operators/op-cm-cm.cc, libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-dm.cc, libinterp/operators/op-cm-m.cc, libinterp/operators/op-cm-pm.cc, libinterp/operators/op-cm-s.cc, libinterp/operators/op-cm-scm.cc, libinterp/operators/op-cm-sm.cc, libinterp/operators/op-cs-cm.cc, libinterp/operators/op-cs-cs.cc, libinterp/operators/op-cs-m.cc, libinterp/operators/op-cs-s.cc, libinterp/operators/op-cs-scm.cc, libinterp/operators/op-cs-sm.cc, libinterp/operators/op-dm-cdm.cc, libinterp/operators/op-dm-cm.cc, libinterp/operators/op-dm-cs.cc, libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-m.cc, libinterp/operators/op-dm-s.cc, libinterp/operators/op-dm-scm.cc, libinterp/operators/op-dm-sm.cc, libinterp/operators/op-dm-template.cc, libinterp/operators/op-dms-template.cc, libinterp/operators/op-fcdm-fcdm.cc, libinterp/operators/op-fcdm-fcm.cc, libinterp/operators/op-fcdm-fcs.cc, libinterp/operators/op-fcdm-fdm.cc, libinterp/operators/op-fcdm-fm.cc, libinterp/operators/op-fcdm-fs.cc, libinterp/operators/op-fcm-fcdm.cc, libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc, libinterp/operators/op-fcm-fdm.cc, libinterp/operators/op-fcm-fm.cc, libinterp/operators/op-fcm-fs.cc, libinterp/operators/op-fcm-pm.cc, libinterp/operators/op-fcn.cc, libinterp/operators/op-fcs-fcm.cc, libinterp/operators/op-fcs-fcs.cc, libinterp/operators/op-fcs-fm.cc, libinterp/operators/op-fcs-fs.cc, libinterp/operators/op-fdm-fcdm.cc, libinterp/operators/op-fdm-fcm.cc, libinterp/operators/op-fdm-fcs.cc, libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-fdm-fm.cc, libinterp/operators/op-fdm-fs.cc, libinterp/operators/op-fm-fcdm.cc, libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc, libinterp/operators/op-fm-fdm.cc, libinterp/operators/op-fm-fm.cc, libinterp/operators/op-fm-fs.cc, libinterp/operators/op-fm-pm.cc, libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc, libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc, libinterp/operators/op-i16-i16.cc, libinterp/operators/op-i32-i32.cc, libinterp/operators/op-i64-i64.cc, libinterp/operators/op-i8-i8.cc, libinterp/operators/op-int-concat.cc, libinterp/operators/op-int.h, libinterp/operators/op-m-cdm.cc, libinterp/operators/op-m-cm.cc, libinterp/operators/op-m-cs.cc, libinterp/operators/op-m-dm.cc, libinterp/operators/op-m-m.cc, libinterp/operators/op-m-pm.cc, libinterp/operators/op-m-s.cc, libinterp/operators/op-m-scm.cc, libinterp/operators/op-m-sm.cc, libinterp/operators/op-pm-cm.cc, libinterp/operators/op-pm-fcm.cc, libinterp/operators/op-pm-fm.cc, libinterp/operators/op-pm-m.cc, libinterp/operators/op-pm-pm.cc, libinterp/operators/op-pm-scm.cc, libinterp/operators/op-pm-sm.cc, libinterp/operators/op-pm-template.cc, libinterp/operators/op-range.cc, libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc, libinterp/operators/op-s-m.cc, libinterp/operators/op-s-s.cc, libinterp/operators/op-s-scm.cc, libinterp/operators/op-s-sm.cc, libinterp/operators/op-sbm-b.cc, libinterp/operators/op-sbm-bm.cc, libinterp/operators/op-sbm-sbm.cc, libinterp/operators/op-scm-cm.cc, libinterp/operators/op-scm-cs.cc, libinterp/operators/op-scm-m.cc, libinterp/operators/op-scm-s.cc, libinterp/operators/op-scm-scm.cc, libinterp/operators/op-scm-sm.cc, libinterp/operators/op-sm-cm.cc, libinterp/operators/op-sm-cs.cc, libinterp/operators/op-sm-m.cc, libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc, libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc, libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc, libinterp/operators/op-struct.cc, libinterp/operators/op-ui16-ui16.cc, libinterp/operators/op-ui32-ui32.cc, libinterp/operators/op-ui64-ui64.cc, libinterp/operators/op-ui8-ui8.cc, libinterp/operators/ops.h, libinterp/options-usage.h, libinterp/parse-tree/lex.h, libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy, libinterp/parse-tree/octave.gperf, libinterp/parse-tree/parse.h, libinterp/parse-tree/pt-all.h, libinterp/parse-tree/pt-arg-list.cc, libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-array-list.cc, libinterp/parse-tree/pt-array-list.h, libinterp/parse-tree/pt-assign.cc, libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.cc, libinterp/parse-tree/pt-bp.h, libinterp/parse-tree/pt-cbinop.cc, libinterp/parse-tree/pt-cbinop.h, libinterp/parse-tree/pt-cell.cc, libinterp/parse-tree/pt-cell.h, libinterp/parse-tree/pt-check.cc, libinterp/parse-tree/pt-check.h, libinterp/parse-tree/pt-classdef.cc, libinterp/parse-tree/pt-classdef.h, libinterp/parse-tree/pt-cmd.cc, libinterp/parse-tree/pt-cmd.h, libinterp/parse-tree/pt-colon.cc, libinterp/parse-tree/pt-colon.h, libinterp/parse-tree/pt-const.cc, libinterp/parse-tree/pt-const.h, libinterp/parse-tree/pt-decl.cc, libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc, libinterp/parse-tree/pt-eval.h, libinterp/parse-tree/pt-except.cc, libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.cc, libinterp/parse-tree/pt-exp.h, libinterp/parse-tree/pt-fcn-handle.cc, libinterp/parse-tree/pt-fcn-handle.h, libinterp/parse-tree/pt-funcall.cc, libinterp/parse-tree/pt-funcall.h, libinterp/parse-tree/pt-id.cc, libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc, libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-jump.cc, libinterp/parse-tree/pt-jump.h, libinterp/parse-tree/pt-loop.cc, libinterp/parse-tree/pt-loop.h, libinterp/parse-tree/pt-mat.cc, libinterp/parse-tree/pt-mat.h, libinterp/parse-tree/pt-misc.cc, libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc, libinterp/parse-tree/pt-pr-code.h, libinterp/parse-tree/pt-select.cc, libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.cc, libinterp/parse-tree/pt-stmt.h, libinterp/parse-tree/pt-unop.cc, libinterp/parse-tree/pt-unop.h, libinterp/parse-tree/pt-walk.h, libinterp/parse-tree/pt.cc, libinterp/parse-tree/pt.h, libinterp/parse-tree/token.cc, libinterp/parse-tree/token.h, libinterp/template-inst/Array-jit.cc, libinterp/template-inst/Array-tc.cc, libinterp/version.cc, libinterp/version.in.h, liboctave/array/Array-C.cc, liboctave/array/Array-b.cc, liboctave/array/Array-ch.cc, liboctave/array/Array-d.cc, liboctave/array/Array-f.cc, liboctave/array/Array-fC.cc, liboctave/array/Array-i.cc, liboctave/array/Array-idx-vec.cc, liboctave/array/Array-s.cc, liboctave/array/Array-str.cc, liboctave/array/Array-util.cc, liboctave/array/Array-util.h, liboctave/array/Array-voidp.cc, liboctave/array/Array.cc, liboctave/array/Array.h, liboctave/array/CColVector.cc, liboctave/array/CColVector.h, liboctave/array/CDiagMatrix.cc, liboctave/array/CDiagMatrix.h, liboctave/array/CMatrix.cc, liboctave/array/CMatrix.h, liboctave/array/CNDArray.cc, liboctave/array/CNDArray.h, liboctave/array/CRowVector.cc, liboctave/array/CRowVector.h, liboctave/array/CSparse.cc, liboctave/array/CSparse.h, liboctave/array/DiagArray2.cc, liboctave/array/DiagArray2.h, liboctave/array/MArray-C.cc, liboctave/array/MArray-d.cc, liboctave/array/MArray-f.cc, liboctave/array/MArray-fC.cc, liboctave/array/MArray-i.cc, liboctave/array/MArray-s.cc, liboctave/array/MArray.cc, liboctave/array/MArray.h, liboctave/array/MDiagArray2.cc, liboctave/array/MDiagArray2.h, liboctave/array/MSparse-C.cc, liboctave/array/MSparse-d.cc, liboctave/array/MSparse.cc, liboctave/array/MSparse.h, liboctave/array/Matrix.h, liboctave/array/MatrixType.cc, liboctave/array/MatrixType.h, liboctave/array/PermMatrix.cc, liboctave/array/PermMatrix.h, liboctave/array/Range.cc, liboctave/array/Range.h, liboctave/array/Sparse-C.cc, liboctave/array/Sparse-b.cc, liboctave/array/Sparse-d.cc, liboctave/array/Sparse.cc, liboctave/array/Sparse.h, liboctave/array/boolMatrix.cc, liboctave/array/boolMatrix.h, liboctave/array/boolNDArray.cc, liboctave/array/boolNDArray.h, liboctave/array/boolSparse.cc, liboctave/array/boolSparse.h, liboctave/array/chMatrix.cc, liboctave/array/chMatrix.h, liboctave/array/chNDArray.cc, liboctave/array/chNDArray.h, liboctave/array/dColVector.cc, liboctave/array/dColVector.h, liboctave/array/dDiagMatrix.cc, liboctave/array/dDiagMatrix.h, liboctave/array/dMatrix.cc, liboctave/array/dMatrix.h, liboctave/array/dNDArray.cc, liboctave/array/dNDArray.h, liboctave/array/dRowVector.cc, liboctave/array/dRowVector.h, liboctave/array/dSparse.cc, liboctave/array/dSparse.h, liboctave/array/dim-vector.cc, liboctave/array/dim-vector.h, liboctave/array/fCColVector.cc, liboctave/array/fCColVector.h, liboctave/array/fCDiagMatrix.cc, liboctave/array/fCDiagMatrix.h, liboctave/array/fCMatrix.cc, liboctave/array/fCMatrix.h, liboctave/array/fCNDArray.cc, liboctave/array/fCNDArray.h, liboctave/array/fCRowVector.cc, liboctave/array/fCRowVector.h, liboctave/array/fColVector.cc, liboctave/array/fColVector.h, liboctave/array/fDiagMatrix.cc, liboctave/array/fDiagMatrix.h, liboctave/array/fMatrix.cc, liboctave/array/fMatrix.h, liboctave/array/fNDArray.cc, liboctave/array/fNDArray.h, liboctave/array/fRowVector.cc, liboctave/array/fRowVector.h, liboctave/array/idx-vector.cc, liboctave/array/idx-vector.h, liboctave/array/int16NDArray.cc, liboctave/array/int16NDArray.h, liboctave/array/int32NDArray.cc, liboctave/array/int32NDArray.h, liboctave/array/int64NDArray.cc, liboctave/array/int64NDArray.h, liboctave/array/int8NDArray.cc, liboctave/array/int8NDArray.h, liboctave/array/intNDArray.cc, liboctave/array/intNDArray.h, liboctave/array/uint16NDArray.cc, liboctave/array/uint16NDArray.h, liboctave/array/uint32NDArray.cc, liboctave/array/uint32NDArray.h, liboctave/array/uint64NDArray.cc, liboctave/array/uint64NDArray.h, liboctave/array/uint8NDArray.cc, liboctave/array/uint8NDArray.h, liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/cquit.c, liboctave/cruft/misc/f77-extern.cc, liboctave/cruft/misc/f77-fcn.c, liboctave/cruft/misc/f77-fcn.h, liboctave/cruft/misc/lo-error.c, liboctave/cruft/misc/lo-error.h, liboctave/cruft/misc/quit.cc, liboctave/cruft/misc/quit.h, liboctave/liboctave-build-info.h, liboctave/liboctave-build-info.in.cc, liboctave/numeric/CollocWt.cc, liboctave/numeric/CollocWt.h, liboctave/numeric/DAE.h, liboctave/numeric/DAEFunc.h, liboctave/numeric/DAERT.h, liboctave/numeric/DAERTFunc.h, liboctave/numeric/DASPK-opts.in, liboctave/numeric/DASPK.cc, liboctave/numeric/DASPK.h, liboctave/numeric/DASRT-opts.in, liboctave/numeric/DASRT.cc, liboctave/numeric/DASRT.h, liboctave/numeric/DASSL-opts.in, liboctave/numeric/DASSL.cc, liboctave/numeric/DASSL.h, liboctave/numeric/DET.h, liboctave/numeric/EIG.cc, liboctave/numeric/EIG.h, liboctave/numeric/LSODE-opts.in, liboctave/numeric/LSODE.cc, liboctave/numeric/LSODE.h, liboctave/numeric/ODE.h, liboctave/numeric/ODEFunc.h, liboctave/numeric/ODES.cc, liboctave/numeric/ODES.h, liboctave/numeric/ODESFunc.h, liboctave/numeric/Quad-opts.in, liboctave/numeric/Quad.cc, liboctave/numeric/Quad.h, liboctave/numeric/aepbalance.cc, liboctave/numeric/aepbalance.h, liboctave/numeric/base-dae.h, liboctave/numeric/base-de.h, liboctave/numeric/base-min.h, liboctave/numeric/bsxfun-decl.h, liboctave/numeric/bsxfun-defs.cc, liboctave/numeric/bsxfun.h, liboctave/numeric/chol.cc, liboctave/numeric/chol.h, liboctave/numeric/eigs-base.cc, liboctave/numeric/eigs-base.h, liboctave/numeric/fEIG.cc, liboctave/numeric/fEIG.h, liboctave/numeric/gepbalance.cc, liboctave/numeric/gepbalance.h, liboctave/numeric/gsvd.cc, liboctave/numeric/gsvd.h, liboctave/numeric/hess.cc, liboctave/numeric/hess.h, liboctave/numeric/lo-amos-proto.h, liboctave/numeric/lo-arpack-proto.h, liboctave/numeric/lo-blas-proto.h, liboctave/numeric/lo-fftpack-proto.h, liboctave/numeric/lo-lapack-proto.h, liboctave/numeric/lo-mappers.cc, liboctave/numeric/lo-mappers.h, liboctave/numeric/lo-qrupdate-proto.h, liboctave/numeric/lo-ranlib-proto.h, liboctave/numeric/lo-slatec-proto.h, liboctave/numeric/lo-specfun.cc, liboctave/numeric/lo-specfun.h, liboctave/numeric/lu.cc, liboctave/numeric/lu.h, liboctave/numeric/oct-convn.cc, liboctave/numeric/oct-convn.h, liboctave/numeric/oct-fftw.cc, liboctave/numeric/oct-fftw.h, liboctave/numeric/oct-norm.cc, liboctave/numeric/oct-norm.h, liboctave/numeric/oct-rand.cc, liboctave/numeric/oct-rand.h, liboctave/numeric/oct-spparms.cc, liboctave/numeric/oct-spparms.h, liboctave/numeric/qr.cc, liboctave/numeric/qr.h, liboctave/numeric/qrp.cc, liboctave/numeric/qrp.h, liboctave/numeric/randgamma.cc, liboctave/numeric/randgamma.h, liboctave/numeric/randmtzig.cc, liboctave/numeric/randmtzig.h, liboctave/numeric/randpoisson.cc, liboctave/numeric/randpoisson.h, liboctave/numeric/schur.cc, liboctave/numeric/schur.h, liboctave/numeric/sparse-chol.cc, liboctave/numeric/sparse-chol.h, liboctave/numeric/sparse-dmsolve.cc, liboctave/numeric/sparse-dmsolve.h, liboctave/numeric/sparse-lu.cc, liboctave/numeric/sparse-lu.h, liboctave/numeric/sparse-qr.cc, liboctave/numeric/sparse-qr.h, liboctave/numeric/svd.cc, liboctave/numeric/svd.h, liboctave/operators/Sparse-diag-op-defs.h, liboctave/operators/Sparse-op-decls.h, liboctave/operators/Sparse-op-defs.h, liboctave/operators/Sparse-perm-op-defs.h, liboctave/operators/mk-ops.awk, liboctave/operators/mx-base.h, liboctave/operators/mx-defs.h, liboctave/operators/mx-ext.h, 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test/classdef/classdef.tst, test/classes/classes.tst, test/colormaps.tst, test/complex.tst, test/ctor-vs-method/ctor-vs-method.tst, test/diag-perm.tst, test/error.tst, test/eval-catch.tst, test/fcn-handle-derived-resolution/fcn-handle-derived-resolution.tst, test/fntests.m, test/for.tst, test/func.tst, test/global.tst, test/if.tst, test/index.tst, test/io.tst, test/jit.tst, test/line-continue.tst, test/logical-index.tst, test/nest/nest.tst, test/null-assign.tst, test/parser.tst, test/prefer.tst, test/range.tst, test/recursion.tst, test/return.tst, test/slice.tst, test/struct.tst, test/switch.tst, test/system.tst, test/transpose.tst, test/try.tst, test/unwind.tst, test/while.tst: Use the same Copyright formatting throughout Octave.
author Rik <rik@octave.org>
date Sun, 13 Nov 2016 20:33:47 -0800
parents bac0d6f07a3e
children ef4d915df748
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1 ## Copyright (C) 2014-2016 Eduardo Ramos Fernández <eduradical951@gmail.com>
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2 ## Copyright (C) 2013-2016 Kai T. Ohlhus <k.ohlhus@gmail.com>
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3 ##
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4 ## This file is part of Octave.
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5 ##
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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6 ## Octave is free software; you can redistribute it and/or modify it
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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7 ## under the terms of the GNU General Public License as published by
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Rik <rik@octave.org>
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8 ## the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting.
Rik <rik@octave.org>
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9 ## (at your option) any later version.
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Rik <rik@octave.org>
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10 ##
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
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11 ## Octave is distributed in the hope that it will be useful, but
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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Rik <rik@octave.org>
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting.
Rik <rik@octave.org>
parents: 22323
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14 ## GNU General Public License for more details.
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Rik <rik@octave.org>
parents: 19054
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15 ##
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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16 ## You should have received a copy of the GNU General Public License
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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parents: 19054
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {} {@var{L} =} ichol (@var{A})
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22 ## @deftypefnx {} {@var{L} =} ichol (@var{A}, @var{opts})
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23 ##
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24 ## Compute the incomplete Cholesky factorization of the sparse square matrix
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25 ## @var{A}.
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26 ##
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27 ## By default, @code{ichol} uses only the lower triangle of @var{A} and
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28 ## produces a lower triangular factor @var{L} such that @tcode{L*L'}
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29 ## approximates @var{A}.
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30 ##
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31 ## The factor given by this routine may be useful as a preconditioner for a
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32 ## system of linear equations being solved by iterative methods such as
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33 ## PCG (Preconditioned Conjugate Gradient).
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34 ##
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35 ## The factorization may be modified by passing options in a structure
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36 ## @var{opts}. The option name is a field of the structure and the setting
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37 ## is the value of field. Names and specifiers are case sensitive.
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38 ##
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39 ## @table @asis
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40 ## @item type
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41 ## Type of factorization.
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42 ##
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43 ## @table @asis
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44 ## @item @qcode{"nofill"} (default)
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45 ## Incomplete Cholesky factorization with no fill-in (@nospell{IC(0)}).
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46 ##
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47 ## @item @qcode{"ict"}
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48 ## Incomplete Cholesky factorization with threshold dropping (@nospell{ICT}).
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49 ## @end table
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50 ##
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51 ## @item diagcomp
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52 ## A non-negative scalar @var{alpha} for incomplete Cholesky factorization of
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53 ## @code{@var{A} + @var{alpha} * diag (diag (@var{A}))} instead of @var{A}.
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54 ## This can be useful when @var{A} is not positive definite. The default value
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55 ## is 0.
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56 ##
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57 ## @item droptol
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58 ## A non-negative scalar specifying the drop tolerance for factorization if
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59 ## performing @nospell{ICT}@. The default value is 0 which produces the
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60 ## complete Cholesky factorization.
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61 ##
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62 ## Non-diagonal entries of @var{L} are set to 0 unless
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63 ##
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64 ## @code{abs (@var{L}(i,j)) >= droptol * norm (@var{A}(j:end, j), 1)}.
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65 ##
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66 ## @item michol
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67 ## Modified incomplete Cholesky factorization:
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68 ##
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69 ## @table @asis
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70 ## @item @qcode{"off"} (default)
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71 ## Row and column sums are not necessarily preserved.
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72 ##
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73 ## @item @qcode{"on"}
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74 ## The diagonal of @var{L} is modified so that row (and column) sums are
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75 ## preserved even when elements have been dropped during the factorization.
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76 ## The relationship preserved is: @code{@var{A} * e = @var{L} * @var{L}' * e},
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77 ## where e is a vector of ones.
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78 ## @end table
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79 ##
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80 ## @item shape
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81 ##
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82 ## @table @asis
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83 ## @item @qcode{"lower"} (default)
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84 ## Use only the lower triangle of @var{A} and return a lower triangular factor
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85 ## @var{L} such that @tcode{L*L'} approximates @var{A}.
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86 ##
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87 ## @item @qcode{"upper"}
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88 ## Use only the upper triangle of @var{A} and return an upper triangular factor
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89 ## @var{U} such that @code{U'*U} approximates @var{A}.
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90 ## @end table
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91 ## @end table
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92 ##
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93 ## EXAMPLES
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94 ##
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95 ## The following problem demonstrates how to factorize a sample symmetric
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96 ## positive definite matrix with the full Cholesky decomposition and with the
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97 ## incomplete one.
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98 ##
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99 ## @example
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100 ## @group
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101 ## A = [ 0.37, -0.05, -0.05, -0.07;
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102 ## -0.05, 0.116, 0.0, -0.05;
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103 ## -0.05, 0.0, 0.116, -0.05;
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104 ## -0.07, -0.05, -0.05, 0.202];
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105 ## A = sparse (A);
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106 ## nnz (tril (A))
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107 ## ans = 9
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108 ## L = chol (A, "lower");
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109 ## nnz (L)
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110 ## ans = 10
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111 ## norm (A - L * L', "fro") / norm (A, "fro")
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112 ## ans = 1.1993e-16
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113 ## opts.type = "nofill";
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114 ## L = ichol (A, opts);
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115 ## nnz (L)
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116 ## ans = 9
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117 ## norm (A - L * L', "fro") / norm (A, "fro")
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118 ## ans = 0.019736
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119 ## @end group
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120 ## @end example
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121 ##
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122 ## Another example for decomposition is a finite difference matrix used to
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123 ## solve a boundary value problem on the unit square.
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124 ##
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125 ## @example
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126 ## @group
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127 ## nx = 400; ny = 200;
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128 ## hx = 1 / (nx + 1); hy = 1 / (ny + 1);
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129 ## Dxx = spdiags ([ones(nx, 1), -2*ones(nx, 1), ones(nx, 1)],
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130 ## [-1 0 1 ], nx, nx) / (hx ^ 2);
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131 ## Dyy = spdiags ([ones(ny, 1), -2*ones(ny, 1), ones(ny, 1)],
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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132 ## [-1 0 1 ], ny, ny) / (hy ^ 2);
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133 ## A = -kron (Dxx, speye (ny)) - kron (speye (nx), Dyy);
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diff changeset
134 ## nnz (tril (A))
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diff changeset
135 ## ans = 239400
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diff changeset
136 ## opts.type = "nofill";
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137 ## L = ichol (A, opts);
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138 ## nnz (tril (A))
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139 ## ans = 239400
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df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
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140 ## norm (A - L * L', "fro") / norm (A, "fro")
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141 ## ans = 0.062327
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diff changeset
142 ## @end group
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143 ## @end example
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144 ##
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145 ## References for implemented algorithms:
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146 ##
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147 ## [1] @nospell{Y. Saad}. "Preconditioning Techniques." @cite{Iterative
19153
431dc1da050c doc: Periodic spellcheck of documentation.
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148 ## Methods for Sparse Linear Systems}, @nospell{PWS} Publishing Company, 1996.
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149 ##
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diff changeset
150 ## [2] @nospell{M. Jones, P. Plassmann}: @cite{An Improved Incomplete
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diff changeset
151 ## Cholesky Factorization}, 1992.
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diff changeset
152 ## @seealso{chol, ilu, pcg}
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153 ## @end deftypefn
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154
22323
bac0d6f07a3e maint: Update copyright notices for 2016.
John W. Eaton <jwe@octave.org>
parents: 21580
diff changeset
155 ## Author: Eduardo Ramos Fernández <eduradical951@gmail.com>
bac0d6f07a3e maint: Update copyright notices for 2016.
John W. Eaton <jwe@octave.org>
parents: 21580
diff changeset
156 ## Author: Kai T. Ohlhus <k.ohlhus@gmail.com>
bac0d6f07a3e maint: Update copyright notices for 2016.
John W. Eaton <jwe@octave.org>
parents: 21580
diff changeset
157
19055
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diff changeset
158 function L = ichol (A, opts = struct ())
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diff changeset
159
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38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
160 if (nargin < 1 || nargin > 2 || nargout > 1)
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diff changeset
161 print_usage ();
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162 endif
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163
19055
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diff changeset
164 if (! (issparse (A) && issquare (A)))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
165 error ("ichol: A must be a sparse square matrix");
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166 endif
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diff changeset
167
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
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diff changeset
168 if (! isstruct (opts))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
169 error ("ichol: OPTS must be a structure.");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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170 endif
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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171
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172 ## If A is empty then return empty L for Matlab compatibility
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173 if (isempty (A))
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174 L = A;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
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175 return;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
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176 endif
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
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177
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178 ## Parse input options
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179 if (! isfield (opts, "type"))
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180 opts.type = "nofill"; # set default
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181 else
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182 type = tolower (getfield (opts, "type"));
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38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
183 if (! strcmp (type, "nofill") && ! strcmp (type, "ict"))
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184 error ('ichol: TYPE must be "nofill" or "ict"');
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185 endif
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186 opts.type = type;
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187 endif
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188
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diff changeset
189 if (! isfield (opts, "droptol"))
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190 opts.droptol = 0; # set default
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191 else
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diff changeset
192 if (! (isreal (opts.droptol) && isscalar (opts.droptol)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
193 && opts.droptol >= 0))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
194 error ("ichol: DROPTOL must be a non-negative real scalar");
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195 endif
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196 endif
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197
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198 michol = "";
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38937efbee21 Incorporate new functions ichol and ilu into Octave.
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199 if (! isfield (opts, "michol"))
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200 opts.michol = "off"; # set default
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201 else
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202 michol = tolower (getfield (opts, "michol"));
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203 if (! strcmp (michol, "off") && ! strcmp (michol, "on"))
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diff changeset
204 error ('ichol: MICHOL must be "on" or "off"');
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diff changeset
205 endif
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
206 opts.michol = michol;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
207 endif
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
208
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
209 if (! isfield (opts, "diagcomp"))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
210 opts.diagcomp = 0; # set default
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
211 else
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
212 if (! (isreal (opts.diagcomp) && isscalar (opts.diagcomp)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
213 && opts.diagcomp >= 0))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
214 error ("ichol: DIAGCOMP must be a non-negative real scalar");
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215 endif
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diff changeset
216 endif
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diff changeset
217
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
218 if (! isfield (opts, "shape"))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
219 opts.shape = "lower"; # set default
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220 else
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38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
221 shape = tolower (getfield (opts, "shape"));
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
222 if (! strcmp (shape, "lower") && ! strcmp (shape, "upper"))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
223 error ('ichol: SHAPE must be "lower" or "upper"');
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168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
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diff changeset
224 endif
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38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
225 opts.shape = shape;
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diff changeset
226 endif
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diff changeset
227
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
228 ## Prepare input for specialized ICHOL
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diff changeset
229 A_in = [];
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diff changeset
230 if (opts.diagcomp > 0)
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diff changeset
231 A += opts.diagcomp * diag (diag (A));
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diff changeset
232 endif
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
233 if (strcmp (opts.shape, "upper"))
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diff changeset
234 A_in = triu (A);
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
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diff changeset
235 A_in = A_in';
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diff changeset
236 else
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diff changeset
237 A_in = tril (A);
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diff changeset
238 endif
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parents:
diff changeset
239
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
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diff changeset
240 ## Delegate to specialized ICHOL
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diff changeset
241 switch (opts.type)
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parents:
diff changeset
242 case "nofill"
21568
3d60ed163b70 maint: Eliminate bad spacing around '='.
Rik <rik@octave.org>
parents: 20852
diff changeset
243 L = __ichol0__ (A_in, opts.michol);
19053
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diff changeset
244 case "ict"
19054
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diff changeset
245 L = __icholt__ (A_in, opts.droptol, opts.michol);
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parents:
diff changeset
246 endswitch
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diff changeset
247
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diff changeset
248 if (strcmp (opts.shape, "upper"))
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diff changeset
249 L = L';
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diff changeset
250 endif
19295
76a6ba7d65d0 doc: Update documentation for ilu, ichol.
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parents: 19153
diff changeset
251
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parents: 19054
diff changeset
252 endfunction
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253
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diff changeset
254
19054
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Eduardo Ramos (edu159) <eduradical951@gmail.com>
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diff changeset
255 %!shared A1, A2, A3, A4, A5, A6, A7
19053
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Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
256 %! A1 = [ 0.37, -0.05, -0.05, -0.07;
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
257 %! -0.05, 0.116, 0.0, -0.05;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
258 %! -0.05, 0.0, 0.116, -0.05;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
259 %! -0.07, -0.05, -0.05, 0.202];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
260 %! A1 = sparse (A1);
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
261 %! A2 = gallery ("poisson", 30);
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
262 %! A3 = gallery ("tridiag", 50);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
263 %! nx = 400; ny = 200;
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
264 %! hx = 1 / (nx + 1); hy = 1 / (ny + 1);
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
265 %! Dxx = spdiags ([ones(nx, 1), -2*ones(nx, 1), ones(nx, 1)],
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
266 %! [-1 0 1 ], nx, nx) / (hx ^ 2);
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
267 %! Dyy = spdiags ([ones(ny, 1), -2*ones(ny, 1), ones(ny, 1)],
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
268 %! [-1 0 1 ], ny, ny) / (hy ^ 2);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
269 %! A4 = -kron (Dxx, speye (ny)) - kron (speye (nx), Dyy);
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
270 %! A5 = [ 0.37, -0.05, -0.05, -0.07;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
271 %! -0.05, 0.116, 0.0, -0.05 + 0.05i;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
272 %! -0.05, 0.0, 0.116, -0.05;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
273 %! -0.07, -0.05 - 0.05i, -0.05, 0.202];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
274 %! A5 = sparse (A5);
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
275 %! A6 = [ 0.37, -0.05 - i, -0.05, -0.07;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
276 %! -0.05 + i, 0.116, 0.0, -0.05;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
277 %! -0.05, 0.0, 0.116, -0.05;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
278 %! -0.07, -0.05, -0.05, 0.202];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
279 %! A6 = sparse (A6);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
280 %! A7 = A5;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
281 %! A7(1) = 2i;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
282
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
283 ## ICHOL0 tests
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
284
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
285 %!test
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
286 %! opts.type = "nofill";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
287 %! opts.michol = "off";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
288 %! assert (nnz (tril (A1)), nnz (ichol (A1, opts)));
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
289 %! assert (nnz (tril (A2)), nnz (ichol (A2, opts)));
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
290 %! assert (nnz (tril (A3)), nnz (ichol (A3, opts)));
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
291 %! assert (nnz (tril (A4)), nnz (ichol (A4, opts)));
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
292 %! assert (nnz (tril (A5)), nnz (ichol (A5, opts)));
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
293 %!
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
294 %!test
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
295 %! opts.type = "nofill";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
296 %! opts.michol = "off";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
297 %! L = ichol (A1, opts);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
298 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.0197, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
299 %! opts.shape = "upper";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
300 %! U = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
301 %! assert (norm (A1 - U' * U, "fro") / norm (A1, "fro"), 0.0197, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
302 %! opts.shape = "lower";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
303 %! L = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
304 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.0197, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
305 %!
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
306 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
307 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
308 %! opts.shape = "lower";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
309 %! opts.type = "nofill";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
310 %! L = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
311 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.0279, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
312 %! opts.shape = "upper";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
313 %! U = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
314 %! assert (norm (A1 - U' * U, "fro") / norm (A1, "fro"), 0.0279, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
315 %! opts.shape = "lower";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
316 %! opts.diagcomp = 3e-3;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
317 %! L = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
318 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.0272, 1e-4);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
319 %!
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
320 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
321 %! opts.type = "nofill";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
322 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
323 %! L = ichol (A2, opts);
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21568
diff changeset
324 %! assert (norm (A2 - L*L', "fro") / norm (A2, "fro"), 0.0893, 1e-4);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
325 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
326 %! L = ichol (A2, opts);
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21568
diff changeset
327 %! assert (norm (A2 - L*L', "fro") / norm (A2, "fro"), 0.2377, 1e-4);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
328 %!
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
329 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
330 %! opts.type = "nofill";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
331 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
332 %! L = ichol (A3, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
333 %! assert (norm (A3 - L*L', "fro") / norm (A3, "fro"), eps, eps);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
334 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
335 %! L = ichol (A3, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
336 %! assert (norm (A3 - L*L', "fro") / norm (A3, "fro"), eps, eps);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
337 %!
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
338 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
339 %! opts.type = "nofill";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
340 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
341 %! L = ichol (A4, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
342 %! assert (norm (A4 - L*L', "fro") / norm (A4, "fro"), 0.0623, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
343 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
344 %! L = ichol (A4, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
345 %! assert (norm (A4 - L*L', "fro") / norm (A4, "fro"), 0.1664, 1e-4);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
346 %!
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
347 %!test
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
348 %! opts.type = "nofill";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
349 %! opts.michol = "off";
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
350 %! L = ichol (A5, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
351 %! assert (norm (A5 - L*L', "fro") / norm (A5, "fro"), 0.0195, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
352 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
353 %! L = ichol (A5, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
354 %! assert (norm (A5 - L*L', "fro") / norm (A5, "fro"), 0.0276, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
355
19295
76a6ba7d65d0 doc: Update documentation for ilu, ichol.
Nir Krakauer <nkrakauer@ccny.cuny.edu> and Rik <rik@octave.org>
parents: 19153
diff changeset
356 ## Negative pivot
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
357 %!error <negative pivot> ichol (A6)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
358 %!error ichol (A6)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
359 ## Complex entry in the diagonal
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
360 %!error <non-real pivot> ichol (A7)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
361
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
362 ## ICHOLT tests
19295
76a6ba7d65d0 doc: Update documentation for ilu, ichol.
Nir Krakauer <nkrakauer@ccny.cuny.edu> and Rik <rik@octave.org>
parents: 19153
diff changeset
363
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
364 #%!test
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
365 %! opts.type = "ict";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
366 %! opts.droptol = 1e-1;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
367 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
368 %! L = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
369 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.2065, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
370 %! opts.shape = "upper";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
371 %! U = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
372 %! assert (norm (A1 - U' * U, "fro") / norm (A1, "fro"), 0.2065, 1e-4);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
373 %! opts.shape = "lower";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
374 %! L = ichol (A1, opts);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
375 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.2065, 1e-4);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
376 %!
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
377 #%!test
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
378 %! opts.type = "ict";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
379 %! opts.droptol = 1e-1;
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
380 %! opts.michol = "on";
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
381 %! L = ichol (A1, opts);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
382 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.3266, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
383 %! opts.shape = "upper";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
384 %! U = ichol (A1, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
385 %! assert (norm (A1 - U' * U, "fro") / norm (A1, "fro"), 0.3266, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
386 %! opts.shape = "lower";
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
387 %! opts.diagcomp = 3e-3;
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
388 %! L = ichol (A1, opts);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
389 %! assert (norm (A1 - L * L', "fro") / norm (A1, "fro"), 0.3266, 1e-4);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
390 %!
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
391 %!test
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
392 %! opts.type = "ict";
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
393 %! opts.droptol = 1e-1;
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
394 %! opts.michol = "off";
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
395 %! L = ichol (A2, opts);
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21568
diff changeset
396 %! assert (norm (A2 - L*L', "fro") / norm (A2, "fro"), 0.0893, 1e-4);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
397 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
398 %! L = ichol (A2, opts);
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21568
diff changeset
399 %! assert (norm (A2 - L*L', "fro") / norm (A2, "fro"), 0.2377, 1e-4);
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
400 %!
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
401 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
402 %! opts.type = "ict";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
403 %! opts.droptol = 1e-1;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
404 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
405 %! L = ichol (A3, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
406 %! assert (norm (A3 - L*L', "fro") / norm (A3, "fro"), eps, eps);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
407 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
408 %! L = ichol (A3, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
409 %! assert (norm (A3 - L*L', "fro") / norm (A3, "fro"), eps, eps);
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
410 %!
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
411 %!test
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
412 %! opts.type = "ict";
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
413 %! opts.droptol = 1e-1;
19053
168c0aa9bb05 Added all the files related with ilu.m and ichol.m functions.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents:
diff changeset
414 %! opts.michol = "off";
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
415 %! L = ichol (A4, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
416 %! assert (norm (A4 - L*L', "fro") / norm (A4, "fro"), 0.1224, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
417 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
418 %! L = ichol (A4, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
419 %! assert (norm (A4 - L*L', "fro") / norm (A4, "fro"), 0.2118, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
420 %!
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
421 %!test
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
422 %! opts.type = "ict";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
423 %! opts.droptol = 1e-1;
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
424 %! opts.michol = "off";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
425 %! L = ichol (A5, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
426 %! assert (norm (A5 - L*L', "fro") / norm (A5, "fro"), 0.2044, 1e-4);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
427 %! opts.michol = "on";
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
428 %! L = ichol (A5, opts);
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
429 %! assert (norm (A5 - L*L', "fro") / norm (A5, "fro"), 0.3231, 1e-4);
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
430
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
431 ## Test input validation
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
432 %!error <A must be a sparse square matrix> ichol ([])
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
433 %!error <A must be a sparse square matrix> ichol (0)
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
434 %!error <pivot equal to 0> ichol (sparse (0))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
435 %!error <pivot equal to 0> ichol (sparse (-0))
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
436 %!error <negative pivot> ichol (sparse (-1))
19054
df64071e538c Removed ichol0.cc, icholt.cc, ilu0.cc, iluc.cc, ilutp.cc. Created __ichol__.cc and __ilu__.cc. Minor bugs fixed.
Eduardo Ramos (edu159) <eduradical951@gmail.com>
parents: 19053
diff changeset
437 %!test
19055
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
438 %! opts.type = "foo";
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
439 %! fail ("ichol (A1, opts)", 'TYPE must be "nofill"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
440 %! opts.type = 1;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
441 %! fail ("ichol (A1, opts)", 'TYPE must be "nofill"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
442 %! opts.type = [];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
443 %! fail ("ichol (A1, opts)", 'TYPE must be "nofill"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
444 %!test
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
445 %! opts.droptol = -1;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
446 %! fail ("ichol (A1, opts)", "DROPTOL must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
447 %! opts.droptol = 0.5i;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
448 %! fail ("ichol (A1, opts)", "DROPTOL must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
449 %! opts.droptol = [];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
450 %! fail ("ichol (A1, opts)", "DROPTOL must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
451 %!test
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
452 %! opts.michol = "foo";
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
453 %! fail ("ichol (A1, opts)", 'MICHOL must be "on"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
454 %! opts.michol = 1;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
455 %! fail ("ichol (A1, opts)", 'MICHOL must be "on"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
456 %! opts.michol = [];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
457 %! fail ("ichol (A1, opts)", 'MICHOL must be "on"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
458 %!test
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
459 %! opts.diagcomp = -1;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
460 %! fail ("ichol (A1, opts)", "DIAGCOMP must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
461 %! opts.diagcomp = 0.5i;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
462 %! fail ("ichol (A1, opts)", "DIAGCOMP must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
463 %! opts.diagcomp = [];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
464 %! fail ("ichol (A1, opts)", "DIAGCOMP must be a non-negative real scalar");
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
465 %!test
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
466 %! opts.shape = "foo";
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
467 %! fail ("ichol (A1, opts)", 'SHAPE must be "lower"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
468 %! opts.shape = 1;
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
469 %! fail ("ichol (A1, opts)", 'SHAPE must be "lower"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
470 %! opts.shape = [];
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
471 %! fail ("ichol (A1, opts)", 'SHAPE must be "lower"');
38937efbee21 Incorporate new functions ichol and ilu into Octave.
Rik <rik@octave.org>
parents: 19054
diff changeset
472