Mercurial > octave-nkf
annotate doc/interpreter/matrix.txi @ 19627:446c46af4b42 stable
strip trailing whitespace from most source files
* Makefile.am, NEWS, build-aux/common.mk, configure.ac,
doc/Makefile.am, doc/doxyhtml/Makefile.am,
doc/interpreter/Makefile.am, 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/doccheck/README,
doc/interpreter/doccheck/spellcheck, doc/interpreter/emacs.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/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/gpl.txi, 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/java.txi,
doc/interpreter/linalg.txi, doc/interpreter/macros.texi,
doc/interpreter/matrix.txi, doc/interpreter/munge-texi.pl,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-config.1,
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/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/tips.txi,
doc/interpreter/var.txi, doc/interpreter/vectorize.txi,
doc/liboctave/Makefile.am, 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/Makefile.am,
doc/refcard/refcard.tex, etc/HACKING, etc/NEWS.1, etc/NEWS.2,
etc/NEWS.3, etc/OLD-ChangeLogs/ChangeLog,
etc/OLD-ChangeLogs/doc-ChangeLog,
etc/OLD-ChangeLogs/scripts-ChangeLog,
etc/OLD-ChangeLogs/src-ChangeLog, etc/OLD-ChangeLogs/test-ChangeLog,
etc/PROJECTS, etc/README.Cygwin, etc/README.MacOS, etc/README.MinGW,
etc/README.gnuplot, etc/gdbinit, etc/icons/Makefile.am,
examples/@polynomial/end.m, examples/@polynomial/subsasgn.m,
examples/Makefile.am, examples/standalonebuiltin.cc,
libgui/Makefile.am, libgui/qterminal/libqterminal/README,
libgui/qterminal/libqterminal/unix/BlockArray.cpp,
libgui/qterminal/libqterminal/unix/BlockArray.h,
libgui/qterminal/libqterminal/unix/Character.h,
libgui/qterminal/libqterminal/unix/CharacterColor.h,
libgui/qterminal/libqterminal/unix/Emulation.cpp,
libgui/qterminal/libqterminal/unix/Emulation.h,
libgui/qterminal/libqterminal/unix/Filter.cpp,
libgui/qterminal/libqterminal/unix/Filter.h,
libgui/qterminal/libqterminal/unix/History.cpp,
libgui/qterminal/libqterminal/unix/History.h,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.cpp,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.h,
libgui/qterminal/libqterminal/unix/LineFont.h,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.cpp,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.h,
libgui/qterminal/libqterminal/unix/Screen.cpp,
libgui/qterminal/libqterminal/unix/Screen.h,
libgui/qterminal/libqterminal/unix/ScreenWindow.cpp,
libgui/qterminal/libqterminal/unix/ScreenWindow.h,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h,
libgui/qterminal/libqterminal/unix/Vt102Emulation.h,
libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp,
libgui/qterminal/qterminal/main.cpp,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc,
libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy,
libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add,
libinterp/mkbuiltins, libinterp/mkdefs, libinterp/mkdocs,
libinterp/mkops, libinterp/octave-value/ov-java.cc,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, liboctave/Makefile.am,
liboctave/array/Array.cc, liboctave/array/module.mk,
liboctave/cruft/daspk/datv.f, liboctave/cruft/daspk/dcnst0.f,
liboctave/cruft/daspk/dcnstr.f, liboctave/cruft/daspk/ddasic.f,
liboctave/cruft/daspk/ddasid.f, liboctave/cruft/daspk/ddasik.f,
liboctave/cruft/daspk/ddaspk.f, liboctave/cruft/daspk/ddstp.f,
liboctave/cruft/daspk/ddwnrm.f, liboctave/cruft/daspk/dfnrmd.f,
liboctave/cruft/daspk/dfnrmk.f, liboctave/cruft/daspk/dhels.f,
liboctave/cruft/daspk/dheqr.f, liboctave/cruft/daspk/dinvwt.f,
liboctave/cruft/daspk/dlinsd.f, liboctave/cruft/daspk/dlinsk.f,
liboctave/cruft/daspk/dmatd.f, liboctave/cruft/daspk/dnedd.f,
liboctave/cruft/daspk/dnedk.f, liboctave/cruft/daspk/dnsd.f,
liboctave/cruft/daspk/dnsid.f, liboctave/cruft/daspk/dnsik.f,
liboctave/cruft/daspk/dnsk.f, liboctave/cruft/daspk/dorth.f,
liboctave/cruft/daspk/dslvd.f, liboctave/cruft/daspk/dslvk.f,
liboctave/cruft/daspk/dspigm.f, liboctave/cruft/daspk/dyypnw.f,
liboctave/cruft/dasrt/ddasrt.f, liboctave/cruft/dasrt/drchek.f,
liboctave/cruft/dassl/ddaslv.f, liboctave/cruft/dassl/ddassl.f,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/module.mk,
liboctave/cruft/odepack/cfode.f, liboctave/cruft/odepack/dlsode.f,
liboctave/cruft/odepack/ewset.f, liboctave/cruft/odepack/intdy.f,
liboctave/cruft/odepack/prepj.f, liboctave/cruft/odepack/sintdy.f,
liboctave/cruft/odepack/slsode.f, liboctave/cruft/odepack/solsy.f,
liboctave/cruft/odepack/ssolsy.f, liboctave/cruft/odepack/stode.f,
liboctave/cruft/odepack/vnorm.f, liboctave/cruft/ranlib/Basegen.doc,
liboctave/cruft/ranlib/README, liboctave/cruft/ranlib/genbet.f,
liboctave/cruft/ranlib/genexp.f, liboctave/cruft/ranlib/gennch.f,
liboctave/cruft/ranlib/gennf.f, liboctave/cruft/ranlib/gennor.f,
liboctave/cruft/ranlib/getsd.f, liboctave/cruft/ranlib/initgn.f,
liboctave/cruft/ranlib/phrtsd.f, liboctave/cruft/ranlib/randlib.fdoc,
liboctave/cruft/ranlib/setsd.f, liboctave/cruft/ranlib/tstgmn.for,
liboctave/cruft/ranlib/tstmid.for, liboctave/cruft/slatec-fn/atanh.f,
liboctave/cruft/slatec-fn/datanh.f,
liboctave/cruft/slatec-fn/xgmainc.f,
liboctave/cruft/slatec-fn/xsgmainc.f, liboctave/numeric/module.mk,
liboctave/operators/mk-ops.awk, liboctave/operators/mx-ops,
liboctave/operators/sparse-mk-ops.awk,
liboctave/operators/sparse-mx-ops, liboctave/operators/vx-ops,
liboctave/util/module.mk, run-octave.in, scripts/@ftp/ftp.m,
scripts/audio/wavread.m, scripts/deprecated/java_convert_matrix.m,
scripts/deprecated/java_debug.m, scripts/deprecated/java_invoke.m,
scripts/deprecated/java_new.m,
scripts/deprecated/java_unsigned_conversion.m,
scripts/deprecated/javafields.m, scripts/deprecated/javamethods.m,
scripts/deprecated/shell_cmd.m, scripts/general/accumarray.m,
scripts/general/display.m, scripts/general/fieldnames.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/isa.m,
scripts/general/methods.m, scripts/general/sortrows.m,
scripts/geometry/convhull.m, scripts/geometry/delaunay.m,
scripts/geometry/delaunay3.m, scripts/geometry/delaunayn.m,
scripts/geometry/griddata.m, scripts/geometry/griddatan.m,
scripts/geometry/voronoi.m, scripts/geometry/voronoin.m,
scripts/gui/guihandles.m, scripts/gui/inputdlg.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m, scripts/gui/questdlg.m,
scripts/gui/uigetfile.m, scripts/gui/waitbar.m, scripts/gui/warndlg.m,
scripts/help/doc.m, scripts/help/help.m, scripts/help/type.m,
scripts/image/bone.m, scripts/image/cmpermute.m,
scripts/image/cmunique.m, scripts/image/colorcube.m,
scripts/image/colormap.m, scripts/image/contrast.m,
scripts/image/gray2ind.m, scripts/image/image.m,
scripts/image/imshow.m, scripts/image/ind2gray.m, scripts/image/jet.m,
scripts/image/rgb2ntsc.m, scripts/image/spinmap.m,
scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m,
scripts/io/textscan.m, scripts/java/java_get.m,
scripts/java/java_set.m, scripts/java/javaaddpath.m,
scripts/java/javaclasspath.m, scripts/java/javamem.m,
scripts/linear-algebra/linsolve.m, scripts/linear-algebra/qzhess.m,
scripts/miscellaneous/debug.m, scripts/miscellaneous/desktop.m,
scripts/miscellaneous/dir.m, scripts/miscellaneous/dos.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m,
scripts/miscellaneous/getappdata.m, scripts/miscellaneous/inputname.m,
scripts/miscellaneous/license.m, scripts/miscellaneous/ls_command.m,
scripts/miscellaneous/run.m, scripts/miscellaneous/setfield.m,
scripts/miscellaneous/unix.m, scripts/miscellaneous/ver.m,
scripts/mk-pkg-add, scripts/mkdoc.pl,
scripts/optimization/fminsearch.m, scripts/optimization/optimset.m,
scripts/optimization/sqp.m, scripts/pkg/pkg.m,
scripts/pkg/private/create_pkgadddel.m,
scripts/pkg/private/fix_depends.m, scripts/pkg/private/install.m,
scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/datetick.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/text.m,
scripts/plot/appearance/title.m, scripts/plot/appearance/xlabel.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/zlabel.m,
scripts/plot/draw/area.m, scripts/plot/draw/bar.m,
scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourf.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezpolar.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m,
scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m,
scripts/plot/draw/plotyy.m, scripts/plot/draw/private/__bar__.m,
scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__patch__.m,
scripts/plot/draw/private/__stem__.m, scripts/plot/draw/rectangle.m,
scripts/plot/draw/ribbon.m, scripts/plot/draw/rose.m,
scripts/plot/draw/scatter.m, scripts/plot/draw/scatter3.m,
scripts/plot/draw/semilogx.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m,
scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/axes.m,
scripts/plot/util/clf.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/gcbo.m,
scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hggroup.m,
scripts/plot/util/meshgrid.m, scripts/plot/util/newplot.m,
scripts/plot/util/print.m,
scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/subplot.m,
scripts/polynomial/conv.m, scripts/polynomial/poly.m,
scripts/polynomial/polyeig.m, scripts/polynomial/polyfit.m,
scripts/polynomial/polyval.m,
scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/spline.m, scripts/prefs/prefdir.m,
scripts/prefs/preferences.m, scripts/prefs/private/prefsfile.m,
scripts/prefs/rmpref.m, scripts/signal/freqz.m,
scripts/signal/module.mk, scripts/sparse/eigs.m, scripts/sparse/pcg.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/sprand.m,
scripts/sparse/sprandn.m, scripts/sparse/spy.m, scripts/sparse/svds.m,
scripts/specfun/expint.m, scripts/specfun/factor.m,
scripts/special-matrix/gallery.m, scripts/special-matrix/hankel.m,
scripts/special-matrix/toeplitz.m, scripts/startup/inputrc,
scripts/statistics/base/kurtosis.m, scripts/statistics/base/moment.m,
scripts/statistics/base/qqplot.m, scripts/statistics/base/var.m,
scripts/statistics/distributions/betarnd.m,
scripts/statistics/distributions/binoinv.m,
scripts/statistics/distributions/binopdf.m,
scripts/statistics/distributions/binornd.m,
scripts/statistics/distributions/cauchy_rnd.m,
scripts/statistics/distributions/chi2rnd.m,
scripts/statistics/distributions/discrete_pdf.m,
scripts/statistics/distributions/discrete_rnd.m,
scripts/statistics/distributions/empirical_rnd.m,
scripts/statistics/distributions/exprnd.m,
scripts/statistics/distributions/frnd.m,
scripts/statistics/distributions/gamrnd.m,
scripts/statistics/distributions/geornd.m,
scripts/statistics/distributions/hygernd.m,
scripts/statistics/distributions/kolmogorov_smirnov_cdf.m,
scripts/statistics/distributions/laplace_cdf.m,
scripts/statistics/distributions/laplace_pdf.m,
scripts/statistics/distributions/logistic_cdf.m,
scripts/statistics/distributions/logistic_pdf.m,
scripts/statistics/distributions/lognrnd.m,
scripts/statistics/distributions/nbincdf.m,
scripts/statistics/distributions/nbininv.m,
scripts/statistics/distributions/nbinpdf.m,
scripts/statistics/distributions/nbinrnd.m,
scripts/statistics/distributions/normrnd.m,
scripts/statistics/distributions/poissinv.m,
scripts/statistics/distributions/poissrnd.m,
scripts/statistics/distributions/tinv.m,
scripts/statistics/distributions/trnd.m,
scripts/statistics/distributions/unidcdf.m,
scripts/statistics/distributions/unidpdf.m,
scripts/statistics/distributions/unidrnd.m,
scripts/statistics/distributions/unifrnd.m,
scripts/statistics/distributions/wblrnd.m,
scripts/statistics/models/module.mk,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/strings/base2dec.m, scripts/strings/deblank.m,
scripts/strings/dec2base.m, scripts/strings/dec2bin.m,
scripts/strings/dec2hex.m, scripts/strings/mat2str.m,
scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m,
scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/strings/strtok.m, scripts/strings/strtrim.m,
scripts/strings/strtrunc.m, scripts/strings/substr.m,
scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m,
scripts/testfun/test.m, scripts/time/asctime.m,
scripts/time/datenum.m, scripts/time/datevec.m,
scripts/time/weekday.m, src/Makefile.am, test/Makefile.am,
test/build-bc-overload-tests.sh, test/build-sparse-tests.sh,
test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 20 Jan 2015 08:26:57 -0500 |
| parents | d63878346099 |
| children | 0e1f5a750d00 |
| rev | line source |
|---|---|
|
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1 @c Copyright (C) 1996-2013 John W. Eaton |
| 7018 | 2 @c |
| 3 @c This file is part of Octave. | |
| 4 @c | |
| 5 @c Octave is free software; you can redistribute it and/or modify it | |
| 6 @c under the terms of the GNU General Public License as published by the | |
| 7 @c Free Software Foundation; either version 3 of the License, or (at | |
| 8 @c your option) any later version. | |
|
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9 @c |
| 7018 | 10 @c Octave is distributed in the hope that it will be useful, but WITHOUT |
| 11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 13 @c for more details. | |
|
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14 @c |
| 7018 | 15 @c You should have received a copy of the GNU General Public License |
| 16 @c along with Octave; see the file COPYING. If not, see | |
| 17 @c <http://www.gnu.org/licenses/>. | |
| 3294 | 18 |
| 4167 | 19 @node Matrix Manipulation |
| 3294 | 20 @chapter Matrix Manipulation |
| 21 | |
| 22 There are a number of functions available for checking to see if the | |
| 23 elements of a matrix meet some condition, and for rearranging the | |
| 24 elements of a matrix. For example, Octave can easily tell you if all | |
| 25 the elements of a matrix are finite, or are less than some specified | |
| 26 value. Octave can also rotate the elements, extract the upper- or | |
| 27 lower-triangular parts, or sort the columns of a matrix. | |
| 28 | |
| 29 @menu | |
|
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30 * Finding Elements and Checking Conditions:: |
|
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31 * Rearranging Matrices:: |
|
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32 * Special Utility Matrices:: |
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33 * Famous Matrices:: |
| 3294 | 34 @end menu |
| 35 | |
| 4167 | 36 @node Finding Elements and Checking Conditions |
| 3294 | 37 @section Finding Elements and Checking Conditions |
| 38 | |
| 39 The functions @code{any} and @code{all} are useful for determining | |
| 40 whether any or all of the elements of a matrix satisfy some condition. | |
| 41 The @code{find} function is also useful in determining which elements of | |
| 42 a matrix meet a specified condition. | |
| 43 | |
| 3369 | 44 @DOCSTRING(any) |
| 3294 | 45 |
| 3369 | 46 @DOCSTRING(all) |
| 3294 | 47 |
| 48 Since the comparison operators (@pxref{Comparison Ops}) return matrices | |
| 49 of ones and zeros, it is easy to test a matrix for many things, not just | |
|
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50 whether the elements are nonzero. For example, |
| 3294 | 51 |
| 52 @example | |
| 53 @group | |
| 54 all (all (rand (5) < 0.9)) | |
| 55 @result{} 0 | |
| 56 @end group | |
| 57 @end example | |
| 58 | |
| 59 @noindent | |
| 60 tests a random 5 by 5 matrix to see if all of its elements are less | |
| 61 than 0.9. | |
| 62 | |
| 63 Note that in conditional contexts (like the test clause of @code{if} and | |
| 64 @code{while} statements) Octave treats the test as if you had typed | |
| 65 @code{all (all (condition))}. | |
| 66 | |
| 3428 | 67 @DOCSTRING(xor) |
| 68 | |
| 3369 | 69 @DOCSTRING(diff) |
| 3294 | 70 |
| 3369 | 71 @DOCSTRING(isinf) |
| 3294 | 72 |
| 3369 | 73 @DOCSTRING(isnan) |
| 3294 | 74 |
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75 @DOCSTRING(isfinite) |
| 3294 | 76 |
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77 @DOCSTRING(common_size) |
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| 3369 | 79 @DOCSTRING(find) |
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| 9367 | 81 @DOCSTRING(lookup) |
| 3428 | 82 |
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84 its elements may have, consult @ref{Status of Variables}. |
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85 |
| 4167 | 86 @node Rearranging Matrices |
| 3294 | 87 @section Rearranging Matrices |
| 88 | |
| 3369 | 89 @DOCSTRING(fliplr) |
| 3294 | 90 |
| 3369 | 91 @DOCSTRING(flipud) |
| 3294 | 92 |
| 4869 | 93 @DOCSTRING(flipdim) |
| 94 | |
| 3369 | 95 @DOCSTRING(rot90) |
| 3294 | 96 |
| 4869 | 97 @DOCSTRING(rotdim) |
| 98 | |
| 4845 | 99 @DOCSTRING(cat) |
| 100 | |
| 101 @DOCSTRING(horzcat) | |
| 102 | |
| 103 @DOCSTRING(vertcat) | |
| 104 | |
| 105 @DOCSTRING(permute) | |
| 106 | |
| 107 @DOCSTRING(ipermute) | |
| 108 | |
| 3369 | 109 @DOCSTRING(reshape) |
| 3294 | 110 |
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111 @DOCSTRING(resize) |
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| 4894 | 113 @DOCSTRING(circshift) |
| 114 | |
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115 @DOCSTRING(shift) |
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117 @DOCSTRING(shiftdim) |
| 3294 | 118 |
| 3369 | 119 @DOCSTRING(sort) |
| 3294 | 120 |
| 6550 | 121 @DOCSTRING(sortrows) |
| 122 | |
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123 @DOCSTRING(issorted) |
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124 |
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125 @DOCSTRING(nth_element) |
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126 |
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127 @anchor{XREFtriu} |
| 3369 | 128 @DOCSTRING(tril) |
| 3294 | 129 |
| 3369 | 130 @DOCSTRING(vec) |
| 3294 | 131 |
| 3369 | 132 @DOCSTRING(vech) |
| 3294 | 133 |
| 3428 | 134 @DOCSTRING(prepad) |
| 135 | |
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136 @DOCSTRING(postpad) |
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137 |
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138 @DOCSTRING(diag) |
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139 |
| 6550 | 140 @DOCSTRING(blkdiag) |
| 141 | |
| 4167 | 142 @node Special Utility Matrices |
| 3294 | 143 @section Special Utility Matrices |
| 144 | |
| 3369 | 145 @DOCSTRING(eye) |
| 3294 | 146 |
| 3369 | 147 @DOCSTRING(ones) |
| 3294 | 148 |
| 3369 | 149 @DOCSTRING(zeros) |
| 3294 | 150 |
| 3920 | 151 @DOCSTRING(repmat) |
| 152 | |
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153 @DOCSTRING(repelems) |
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154 |
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155 The functions @code{linspace} and @code{logspace} make it very easy to |
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156 create vectors with evenly or logarithmically spaced elements. |
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157 @xref{Ranges}. |
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158 |
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159 @DOCSTRING(linspace) |
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160 |
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161 @DOCSTRING(logspace) |
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162 |
| 3369 | 163 @DOCSTRING(rand) |
| 3294 | 164 |
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165 @DOCSTRING(randi) |
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166 |
| 3369 | 167 @DOCSTRING(randn) |
| 3294 | 168 |
| 5730 | 169 @DOCSTRING(rande) |
| 170 | |
| 171 @DOCSTRING(randp) | |
| 172 | |
| 173 @DOCSTRING(randg) | |
| 174 | |
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175 The generators operate in the new or old style together, it is not |
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176 possible to mix the two. Initializing any generator with |
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177 @qcode{"state"} or @qcode{"seed"} causes the others to switch to the |
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178 same style for future calls. |
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179 |
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180 The state of each generator is independent and calls to different |
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181 generators can be interleaved without affecting the final result. For |
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182 example, |
| 3294 | 183 |
| 184 @example | |
| 185 @group | |
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186 rand ("state", [11, 22, 33]); |
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187 randn ("state", [44, 55, 66]); |
| 3294 | 188 u = rand (100, 1); |
| 189 n = randn (100, 1); | |
| 190 @end group | |
| 191 @end example | |
| 192 | |
| 193 @noindent | |
| 194 and | |
| 195 | |
| 196 @example | |
| 197 @group | |
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198 rand ("state", [11, 22, 33]); |
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199 randn ("state", [44, 55, 66]); |
| 3294 | 200 u = zeros (100, 1); |
| 201 n = zeros (100, 1); | |
| 202 for i = 1:100 | |
| 203 u(i) = rand (); | |
| 204 n(i) = randn (); | |
| 205 end | |
| 206 @end group | |
| 207 @end example | |
| 208 | |
| 209 @noindent | |
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210 produce equivalent results. When the generators are initialized in |
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211 the old style with @qcode{"seed"} only @code{rand} and @code{randn} are |
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212 independent, because the old @code{rande}, @code{randg} and |
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213 @code{randp} generators make calls to @code{rand} and @code{randn}. |
| 3294 | 214 |
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215 The generators are initialized with random states at start-up, so |
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216 that the sequences of random numbers are not the same each time you run |
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217 Octave.@footnote{The old versions of @code{rand} and @code{randn} |
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218 obtain their initial seeds from the system clock.} If you really do |
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219 need to reproduce a sequence of numbers exactly, you can set the state |
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220 or seed to a specific value. |
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222 If invoked without arguments, @code{rand} and @code{randn} return a |
| 3294 | 223 single element of a random sequence. |
| 224 | |
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225 The original @code{rand} and @code{randn} functions use Fortran code from |
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226 @sc{ranlib}, a library of Fortran routines for random number generation, |
| 3294 | 227 compiled by Barry W. Brown and James Lovato of the Department of |
| 228 Biomathematics at The University of Texas, M.D. Anderson Cancer Center, | |
| 229 Houston, TX 77030. | |
| 230 | |
| 3428 | 231 @DOCSTRING(randperm) |
| 232 | |
| 4167 | 233 @node Famous Matrices |
| 3294 | 234 @section Famous Matrices |
| 235 | |
| 236 The following functions return famous matrix forms. | |
| 237 | |
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238 @DOCSTRING(gallery) |
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239 |
| 6502 | 240 @DOCSTRING(hadamard) |
| 241 | |
| 3369 | 242 @DOCSTRING(hankel) |
| 3294 | 243 |
| 3369 | 244 @DOCSTRING(hilb) |
| 3294 | 245 |
| 3369 | 246 @DOCSTRING(invhilb) |
| 3294 | 247 |
| 6502 | 248 @DOCSTRING(magic) |
| 249 | |
| 250 @DOCSTRING(pascal) | |
| 251 | |
| 252 @DOCSTRING(rosser) | |
| 253 | |
| 3369 | 254 @DOCSTRING(toeplitz) |
| 3294 | 255 |
| 3369 | 256 @DOCSTRING(vander) |
| 6502 | 257 |
| 258 @DOCSTRING(wilkinson) |