octave: scripts/optimization/pqpnonneg.m annotate

annotate scripts/optimization/pqpnonneg.m @ 31551:fd29c7a50a78 stable

maint: use commas, semicolons consistently with Octave conventions. * makeValidName.m: Remove %!test and move BIST %!asserts to column 1. * base64decode.m, base64encode.m, which.m, logm.m, uniquetol.m, perms.m: Delete semicolon (';') at end of %!assert BIST. * lin2mu.m, interp2.m, interpn.m, lsqnonneg.m, pqpnonneg.m, uniquetol.m, betainc.m, normalize.m: Add semicolon (';') to end of assert statement within %!test BIST. * __memoize__.m, tar_is_bsd.m, publish.m: Add semicolon (';') to line with keyword "persistent". * stft.m: Use comma (',') after "case" keyword when code immediately follows. * gallery.m: Align commas used in case statements in massive switch block. Remove unnecessary parentheses around a numeric case argument. * ranks.m: Remove semicolon (';') from case statemnt argument.

author	Rik <rik@octave.org>
date	Sat, 26 Nov 2022 06:32:08 -0800
parents	10a813492497
children	597f3ee61a48

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ########################################################################
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 ##
30564 796f54d4ddbf update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	3 ## Copyright (C) 2008-2022 The Octave Project Developers
27918 b442ec6dda5c use centralized file for copyright info for individual contributors John W. Eaton <jwe@octave.org> parents: 26376 diff changeset	4 ##
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 ## See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 ## distribution or <https://octave.org/copyright/>.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	7 ##
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	8 ## This file is part of Octave.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	9 ##
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	10 ## Octave is free software: you can redistribute it and/or modify it
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	11 ## under the terms of the GNU General Public License as published by
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	12 ## the Free Software Foundation, either version 3 of the License, or
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	13 ## (at your option) any later version.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	14 ##
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	15 ## Octave is distributed in the hope that it will be useful, but
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	18 ## GNU General Public License for more details.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	19 ##
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	20 ## You should have received a copy of the GNU General Public License
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	21 ## along with Octave; see the file COPYING. If not, see
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	22 ## <https://www.gnu.org/licenses/>.
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 ##
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ########################################################################
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	25
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	26 ## -- texinfo --
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	27 ## @deftypefn {} {@var{x} =} pqpnonneg (@var{c}, @var{d})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	28 ## @deftypefnx {} {@var{x} =} pqpnonneg (@var{c}, @var{d}, @var{x0})
22760 c4d80b9d2898 maint: Capitalize variable names appearing in error() messages of m-files. Rik <rik@octave.org> parents: 22755 diff changeset	29 ## @deftypefnx {} {@var{x} =} pqpnonneg (@var{c}, @var{d}, @var{x0}, @var{options})
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	30 ## @deftypefnx {} {[@var{x}, @var{minval}] =} pqpnonneg (@dots{})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	31 ## @deftypefnx {} {[@var{x}, @var{minval}, @var{exitflag}] =} pqpnonneg (@dots{})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	32 ## @deftypefnx {} {[@var{x}, @var{minval}, @var{exitflag}, @var{output}] =} pqpnonneg (@dots{})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20735 diff changeset	33 ## @deftypefnx {} {[@var{x}, @var{minval}, @var{exitflag}, @var{output}, @var{lambda}] =} pqpnonneg (@dots{})
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	34 ##
31270 635ef1eb7dc3 doc: Improve docstring readability for pqpnonneg.m Arun Giridhar <arungiridhar@gmail.com> parents: 31268 diff changeset	35 ## Minimize @code{ (1/2 * @var{x}' * @var{c} * @var{x} + @var{d}' * @var{x}) }
635ef1eb7dc3 doc: Improve docstring readability for pqpnonneg.m Arun Giridhar <arungiridhar@gmail.com> parents: 31268 diff changeset	36 ## subject to @code{@var{x} >= 0}.
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	37 ##
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	38 ## @var{c} and @var{d} must be real matrices, and @var{c} must be symmetric and
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	39 ## positive definite.
f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	40 ##
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	41 ## @var{x0} is an optional initial guess for the solution @var{x}.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	42 ##
22760 c4d80b9d2898 maint: Capitalize variable names appearing in error() messages of m-files. Rik <rik@octave.org> parents: 22755 diff changeset	43 ## @var{options} is an options structure to change the behavior of the
28959 5394d688d456 doc: Use @code{} within alternate text for @xref,@pxref macros for better Info display. Rik <rik@octave.org> parents: 28942 diff changeset	44 ## algorithm (@pxref{XREFoptimset,,@code{optimset}}). @code{pqpnonneg}
5394d688d456 doc: Use @code{} within alternate text for @xref,@pxref macros for better Info display. Rik <rik@octave.org> parents: 28942 diff changeset	45 ## recognizes one option: @qcode{"MaxIter"}.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	46 ##
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	47 ## Outputs:
14366 b76f0740940e doc: Periodic grammar check of documentation. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	48 ##
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	49 ## @table @var
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	50 ##
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	51 ## @item x
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	52 ## The solution matrix
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	53 ##
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	54 ## @item minval
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	55 ## The minimum attained model value,
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	56 ## @code{1/2@var{xmin}'@var{c}@var{xmin} + @var{d}'@var{xmin}}
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	57 ##
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	58 ## @item exitflag
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	59 ## An indicator of convergence. 0 indicates that the iteration count was
f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	60 ## exceeded, and therefore convergence was not reached; >0 indicates that the
f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	61 ## algorithm converged. (The algorithm is stable and will converge given
f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19833 diff changeset	62 ## enough iterations.)
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	63 ##
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	64 ## @item output
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	65 ## A structure with two fields:
14366 b76f0740940e doc: Periodic grammar check of documentation. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	66 ##
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	67 ## @itemize @bullet
25003 2365c2661b3c doc: Spellcheck documentation ahead of 4.4 release. Rik <rik@octave.org> parents: 24534 diff changeset	68 ## @item @qcode{"algorithm"}: The algorithm used (@nospell{@qcode{"nnls"}})
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	69 ##
17281 bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted. Rik <rik@octave.org> parents: 14366 diff changeset	70 ## @item @qcode{"iterations"}: The number of iterations taken.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	71 ## @end itemize
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	72 ##
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	73 ## @item lambda
31286 10a813492497 maint: Use "nonzero" in docstrings and error messages. Rik <rik@octave.org> parents: 31283 diff changeset	74 ## Lagrange multipliers. If these are nonzero, the corresponding @var{x}
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	75 ## values should be zero, indicating the solution is pressed up against a
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	76 ## coordinate plane. The magnitude indicates how much the residual would
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	77 ## improve if the @code{@var{x} >= 0} constraints were relaxed in that
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	78 ## direction.
31266 e5e35410da90 doc: Documented undocumented outputs for lsqnonneg and pqpnonneg Arun Giridhar <arungiridhar@gmail.com> parents: 30564 diff changeset	79 ##
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	80 ## @end table
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	81 ## @seealso{lsqnonneg, qp, optimset}
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	82 ## @end deftypefn
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	83
13027 b9a89ca0fb75 prevent optimization functions from setting ans in workspace at startup John W. Eaton <jwe@octave.org> parents: 11588 diff changeset	84 ## PKG_ADD: ## Discard result to avoid polluting workspace with ans at startup.
b9a89ca0fb75 prevent optimization functions from setting ans in workspace at startup John W. Eaton <jwe@octave.org> parents: 11588 diff changeset	85 ## PKG_ADD: [~] = __all_opts__ ("pqpnonneg");
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	86
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	87 ## This is analogical to the lsqnonneg implementation, which is implemented
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	88 ## from Lawson and Hanson's 1973 algorithm on page 161 of Solving Least Squares
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	89 ## Problems. It shares the convergence guarantees.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	90
22769 9bd2ea5703e2 lsqnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22764 diff changeset	91 function [x, minval, exitflag, output, lambda] = pqpnonneg (c, d, x0 = [],
9bd2ea5703e2 lsqnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22764 diff changeset	92 options = struct ())
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	93
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	94 ## Special case: called to find default optimization options
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	95 if (nargin == 1 && ischar (c) && strcmp (c, "defaults"))
26138 804e18e3e320 Reenable query of optimization options (bugs #54952 and #55089). Kai T. Ohlhus <k.ohlhus@gmail.com> parents: 25579 diff changeset	96 x = struct ("MaxIter", 1e5);
17312 088d014a7fe2 Use semicolon after "return" statement in core m-files. Rik <rik@octave.org> parents: 17281 diff changeset	97 return;
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	98 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	99
28789 28de41192f3c Eliminate unneeded verification of nargin, nargout in m-files. Rik <rik@octave.org> parents: 27923 diff changeset	100 if (nargin < 2)
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	101 print_usage ();
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	102 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	103
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	104 if (! (isnumeric (c) && ismatrix (c)) \|\| ! (isnumeric (d) && ismatrix (d)))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	105 error ("pqpnonneg: C and D must be numeric matrices");
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	106 endif
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	107 if (! issquare (c))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	108 error ("pqpnonneg: C must be a square matrix");
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	109 endif
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	110
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	111 if (! isstruct (options))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	112 error ("pqpnonneg: OPTIONS must be a struct");
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	113 endif
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	114
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	115 ## Lawson-Hanson Step 1 (LH1): initialize the variables.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	116 n = columns (c);
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	117 if (isempty (x0))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	118 ## Initial guess is all zeros.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	119 x = zeros (n, 1);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	120 else
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	121 ## ensure nonnegative guess.
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	122 x = max (x0, 0);
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	123 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	124
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	125 max_iter = optimget (options, "MaxIter", 1e5);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	126
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	127 ## Initialize P, according to zero pattern of x.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	128 p = find (x > 0).';
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	129 ## Initialize the Cholesky factorization.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	130 r = chol (c(p, p));
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	131 usechol = true;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	132
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	133 iter = 0;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	134
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	135 ## LH3: test for completion.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	136 while (iter < max_iter)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	137 while (iter < max_iter)
20735 418ae0cb752f Replace ++,-- with in-place operators for performance. Rik <rik@octave.org> parents: 20165 diff changeset	138 iter += 1;
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	139
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	140 ## LH6: compute the positive matrix and find the min norm solution
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	141 ## of the positive problem.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	142 if (usechol)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	143 xtmp = -(r \ (r' \ d(p)));
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	144 else
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	145 xtmp = -(c(p,p) \ d(p));
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	146 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	147 idx = find (xtmp < 0);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	148
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	149 if (isempty (idx))
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	150 ## LH7: tmp solution found, iterate.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	151 x(:) = 0;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	152 x(p) = xtmp;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	153 break;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	154 else
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	155 ## LH8, LH9: find the scaling factor.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	156 pidx = p(idx);
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	157 sf = x(pidx) ./ (x(pidx) - xtmp(idx));
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	158 alpha = min (sf);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	159 ## LH10: adjust X.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	160 xx = zeros (n, 1);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	161 xx(p) = xtmp;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	162 x += alpha*(xx - x);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	163 ## LH11: move from P to Z all X == 0.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	164 ## This corresponds to those indices where minimum of sf is attained.
19833 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	165 idx = idx(sf == alpha);
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	166 p(idx) = [];
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	167 if (usechol)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	168 ## update the Cholesky factorization.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	169 r = choldelete (r, idx);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	170 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	171 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	172 endwhile
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	173
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	174 ## compute the gradient.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	175 w = -(d + c*x);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	176 w(p) = [];
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	177 if (! any (w > 0))
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	178 if (usechol)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	179 ## verify the solution achieved using qr updating.
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	180 ## In the best case, this should only take a single step.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	181 usechol = false;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	182 continue;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	183 else
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	184 ## we're finished.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	185 break;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	186 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	187 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	188
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	189 ## find the maximum gradient.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	190 idx = find (w == max (w));
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	191 if (numel (idx) > 1)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	192 warning ("pqpnonneg:nonunique",
11588 d5bd2766c640 style fixes for warning and error messages in script files John W. Eaton <jwe@octave.org> parents: 11587 diff changeset	193 "a non-unique solution may be returned due to equal gradients");
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	194 idx = idx(1);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	195 endif
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21178 diff changeset	196 ## move the index from Z to P. Keep P sorted.
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	197 z = [1:n]; z(p) = [];
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	198 zidx = z(idx);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	199 jdx = 1 + lookup (p, zidx);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	200 p = [p(1:jdx-1), zidx, p(jdx:end)];
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	201 if (usechol)
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	202 ## insert the column into the Cholesky factorization.
10200 7c1b1c084af1 handle cholesky update failure in pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: 9635 diff changeset	203 [r, bad] = cholinsert (r, jdx, c(p,zidx));
7c1b1c084af1 handle cholesky update failure in pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: 9635 diff changeset	204 if (bad)
7c1b1c084af1 handle cholesky update failure in pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: 9635 diff changeset	205 ## If the insertion failed, we switch off updates and go on.
7c1b1c084af1 handle cholesky update failure in pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: 9635 diff changeset	206 usechol = false;
7c1b1c084af1 handle cholesky update failure in pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: 9635 diff changeset	207 endif
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	208 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	209
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	210 endwhile
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	211 ## LH12: complete.
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	212
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	213 ## Generate the additional output arguments.
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	214 if (isargout (2))
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	215 minval = 1/2(x'cx) + d'x;
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	216 endif
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	217 if (isargout (3))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	218 if (iter >= max_iter)
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	219 exitflag = 0;
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	220 else
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	221 exitflag = iter;
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	222 endif
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	223 endif
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	224 if (isargout (4))
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	225 output = struct ("algorithm", "nnls-pqp", "iterations", iter);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	226 endif
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	227 if (isargout (5))
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	228 lambda = zeros (size (x));
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	229 lambda (setdiff (1:numel(x), p)) = w;
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	230 endif
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	231
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	232 endfunction
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	233
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	234
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	235 %!test
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	236 %! C = [5 2;2 2];
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	237 %! d = [3; -1];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	238 %! assert (pqpnonneg (C, d), [0;0.5], 100*eps);
9635 36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	239
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	240 ## Test equivalence of lsq and pqp
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	241 %!test
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	242 %! C = rand (20, 10);
36d885c4a1ac implement pqpnonneg Jaroslav Hajek <highegg@gmail.com> parents: diff changeset	243 %! d = rand (20, 1);
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	244 %! assert (pqpnonneg (C'C, -C'd), lsqnonneg (C, d), 100*eps);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	245
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	246 ## Test Lagrange multiplier duality: lambda .* x == 0
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	247 %!test
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	248 %! [x, resid, ~, ~, lambda] = pqpnonneg ([3 2; 2 2], [6; 5]);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	249 %! assert (x, [0 0]', eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	250 %! assert (resid, 0, eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	251 %! assert (lambda, [-6 -5]', eps);
31551 fd29c7a50a78 maint: use commas, semicolons consistently with Octave conventions. Rik <rik@octave.org> parents: 31286 diff changeset	252 %! assert (x .* lambda, [0 0]');
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	253
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	254 %!test
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	255 %! [x, resid, ~, ~, lambda] = pqpnonneg ([3 2; 2 2], [6; -5]);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	256 %! assert (x, [0 2.5]', eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	257 %! assert (resid, -6.25, eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	258 %! assert (lambda, [-11 0]', eps);
31551 fd29c7a50a78 maint: use commas, semicolons consistently with Octave conventions. Rik <rik@octave.org> parents: 31286 diff changeset	259 %! assert (x .* lambda, [0 0]');
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	260
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	261 %!test
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	262 %! [x, resid, ~, ~, lambda] = pqpnonneg ([3 2; 2 2], [-6; 5]);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	263 %! assert (x, [2 0]', eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	264 %! assert (resid, -6, eps);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	265 %! assert (lambda, [0 -9]', eps);
31551 fd29c7a50a78 maint: use commas, semicolons consistently with Octave conventions. Rik <rik@octave.org> parents: 31286 diff changeset	266 %! assert (x .* lambda, [0 0]');
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	267
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	268 %!test
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	269 %! [x, resid, ~, ~, lambda] = pqpnonneg ([3 2; 2 2], [-6; -5]);
44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	270 %! assert (x, [1 1.5]', 10*eps);
31283 b902f78ecf66 pqpnonneg.m: increase tolerance on BIST (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31270 diff changeset	271 %! assert (resid, -6.75, 10*eps);
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	272 %! assert (lambda, [0 0]', eps);
31551 fd29c7a50a78 maint: use commas, semicolons consistently with Octave conventions. Rik <rik@octave.org> parents: 31286 diff changeset	273 %! assert (x .* lambda, [0 0]');
31268 44a68ac1a22f Fix incorrect lambda outputs for lsqnonneg and pqpnonneg (bug #63178) Arun Giridhar <arungiridhar@gmail.com> parents: 31266 diff changeset	274
28942 fc4bb4bd1d5e maint: Use '##' as lead-in for full-line comments. Rik <rik@octave.org> parents: 28896 diff changeset	275 ## Test input validation
28896 90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin. Rik <rik@octave.org> parents: 28789 diff changeset	276 %!error <Invalid call> pqpnonneg ()
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin. Rik <rik@octave.org> parents: 28789 diff changeset	277 %!error <Invalid call> pqpnonneg (1)
22764 d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	278 %!error <C .* must be numeric matrices> pqpnonneg ({1},2)
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	279 %!error <C .* must be numeric matrices> pqpnonneg (ones (2,2,2),2)
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	280 %!error <D must be numeric matrices> pqpnonneg (1,{2})
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	281 %!error <D must be numeric matrices> pqpnonneg (1, ones (2,2,2))
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	282 %!error <C must be a square matrix> pqpnonneg ([1 2], 2)
d261dcd73dcf pqpnonneg.m: Overhaul function. Rik <rik@octave.org> parents: 22760 diff changeset	283 %!error <OPTIONS must be a struct> pqpnonneg (1, 2, [], 3)

Mercurial > octave

annotate scripts/optimization/pqpnonneg.m @ 31551:fd29c7a50a78 stable