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diff scripts/special-matrix/gallery.m @ 21562:6c2fd62db1f7

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maint: Eliminate accidental double spaces in code. * make_int.cc, file-editor-tab.h, file-editor.cc, shortcut-manager.h, __contourc__.cc, cellfun.cc, debug.cc, errwarn.h, graphics.in.h, jit-ir.h, oct-stream.cc, quadcc.cc, qz.cc, sparse-xdiv.cc, symtab.cc, __init_fltk__.cc, ov-class.cc, ov-float.h, ov-scalar.h, op-int.h, CNDArray.cc, CSparse.cc, MSparse.cc, Sparse.cc, boolNDArray.cc, chNDArray.cc, dNDArray.cc, dSparse.cc, fCNDArray.cc, fNDArray.cc, int16NDArray.cc, int32NDArray.cc, int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc, uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, randgamma.h, randmtzig.h, randpoisson.c, randpoisson.h, Sparse-op-defs.h, oct-time.cc, kpse.cc, lo-array-errwarn.h, lo-ieee.h, del2.m, num2str.m, __isequal__.m, lookfor.m, hsv2rgb.m, colorspace_conversion_revert.m, fminbnd.m, create_pkgadddel.m, shading.m, struct2hdl.m, gallery.m, discrete_cdf.m, kolmogorov_smirnov_test.m, assert.m, datestr.m, classes.tst, jit.tst: Eliminate accidental double spaces in code.
author Rik <rik@octave.org>
date Wed, 30 Mar 2016 15:19:12 -0700
parents f7f97d7e9294
children b571fc85953f
line wrap: on
line diff
--- a/scripts/special-matrix/gallery.m	Tue Mar 29 21:13:22 2016 -0700
+++ b/scripts/special-matrix/gallery.m	Wed Mar 30 15:19:12 2016 -0700
@@ -504,27 +504,27 @@
 endfunction
 
 function C = cauchy (x, y)
-  ##CAUCHY  Cauchy matrix.
-  ##  C = CAUCHY(X, Y), where X, Y are N-vectors, is the N-by-N matrix
-  ##  with C(i,j) = 1/(X(i)+Y(j)).   By default, Y = X.
-  ##  Special case: if X is a scalar CAUCHY(X) is the same as CAUCHY(1:X).
-  ##  Explicit formulas are known for DET(C) (which is nonzero if X and Y
-  ##  both have distinct elements) and the elements of INV(C).
-  ##  C is totally positive if 0 < X(1) < ... < X(N) and
-  ##  0 < Y(1) < ... < Y(N).
+  ## CAUCHY  Cauchy matrix.
+  ##   C = CAUCHY(X, Y), where X, Y are N-vectors, is the N-by-N matrix
+  ##   with C(i,j) = 1/(X(i)+Y(j)).   By default, Y = X.
+  ##   Special case: if X is a scalar CAUCHY(X) is the same as CAUCHY(1:X).
+  ##   Explicit formulas are known for DET(C) (which is nonzero if X and Y
+  ##   both have distinct elements) and the elements of INV(C).
+  ##   C is totally positive if 0 < X(1) < ... < X(N) and
+  ##   0 < Y(1) < ... < Y(N).
   ##
-  ##  References:
-  ##  N.J. Higham, Accuracy and Stability of Numerical Algorithms,
-  ##    Society for Industrial and Applied Mathematics, Philadelphia, PA,
-  ##    USA, 1996; sec. 26.1.
-  ##  D.E. Knuth, The Art of Computer Programming, Volume 1,
-  ##    Fundamental Algorithms, second edition, Addison-Wesley, Reading,
-  ##    Massachusetts, 1973, p. 36.
-  ##  E.E. Tyrtyshnikov, Cauchy-Toeplitz matrices and some applications,
-  ##    Linear Algebra and Appl., 149 (1991), pp. 1-18.
-  ##    O. Taussky and M. Marcus, Eigenvalues of finite matrices, in
-  ##    Survey of Numerical Analysis, J. Todd, ed., McGraw-Hill, New York,
-  ##    pp. 279-313, 1962. (States the totally positive property on p. 295.)
+  ##   References:
+  ##   N.J. Higham, Accuracy and Stability of Numerical Algorithms,
+  ##     Society for Industrial and Applied Mathematics, Philadelphia, PA,
+  ##     USA, 1996; sec. 26.1.
+  ##   D.E. Knuth, The Art of Computer Programming, Volume 1,
+  ##     Fundamental Algorithms, second edition, Addison-Wesley, Reading,
+  ##     Massachusetts, 1973, p. 36.
+  ##   E.E. Tyrtyshnikov, Cauchy-Toeplitz matrices and some applications,
+  ##     Linear Algebra and Appl., 149 (1991), pp. 1-18.
+  ##     O. Taussky and M. Marcus, Eigenvalues of finite matrices, in
+  ##     Survey of Numerical Analysis, J. Todd, ed., McGraw-Hill, New York,
+  ##     pp. 279-313, 1962. (States the totally positive property on p. 295.)
 
   if (nargin < 1 || nargin > 2)
     error ("gallery: 1 or 2 arguments are required for cauchy matrix.");