Mercurial > hg > octave-nkf
diff scripts/linear-algebra/norm.m @ 2303:5cffc4b8de57
[project @ 1996-06-24 09:15:24 by jwe]
author | jwe |
---|---|
date | Mon, 24 Jun 1996 09:15:24 +0000 |
parents | 5d29638dd524 |
children | 2b5788792cad |
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--- a/scripts/linear-algebra/norm.m +++ b/scripts/linear-algebra/norm.m @@ -1,48 +1,49 @@ -# Copyright (C) 1996 John W. Eaton -# -# This file is part of Octave. -# -# Octave is free software; you can redistribute it and/or modify it -# under the terms of the GNU General Public License as published by the -# Free Software Foundation; either version 2, or (at your option) any -# later version. -# -# Octave is distributed in the hope that it will be useful, but WITHOUT -# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -# for more details. -# -# You should have received a copy of the GNU General Public License -# along with Octave; see the file COPYING. If not, write to the Free -# Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. +### Copyright (C) 1996 John W. Eaton +### +### This file is part of Octave. +### +### Octave is free software; you can redistribute it and/or modify it +### under the terms of the GNU General Public License as published by +### the Free Software Foundation; either version 2, or (at your option) +### any later version. +### +### Octave is distributed in the hope that it will be useful, but +### WITHOUT ANY WARRANTY; without even the implied warranty of +### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +### General Public License for more details. +### +### You should have received a copy of the GNU General Public License +### along with Octave; see the file COPYING. If not, write to the Free +### Software Foundation, 59 Temple Place - Suite 330, Boston, MA +### 02111-1307, USA. function retval = norm (x, p) -# usage: norm (x, p) -# -# Compute the p-norm of x. -# -# If x is a matrix: -# -# value of p norm returns -# ---------- ------------ -# 1 1-norm, the largest column sum of x -# 2 largest singular value of x -# Inf infinity norm, the largest row sum of x -# "inf" same as Inf -# "fro" Frobenius norm of x, sqrt (sum (diag (x' * x))) -# -# If x is a vector or a scalar: -# -# value of p norm returns -# ---------- ------------ -# Inf max (abs (x)) -# -Inf min (abs (x)) -# other p-norm of x, sum (abs (x) .^ p) ^ (1/p) -# -# If the second argument is missing, p = 2 is assumed. -# -# See also: cond, svd + ## usage: norm (x, p) + ## + ## Compute the p-norm of x. + ## + ## If x is a matrix: + ## + ## value of p norm returns + ## ---------- ------------ + ## 1 1-norm, the largest column sum of x + ## 2 largest singular value of x + ## Inf infinity norm, the largest row sum of x + ## "inf" same as Inf + ## "fro" Frobenius norm of x, sqrt (sum (diag (x' * x))) + ## + ## If x is a vector or a scalar: + ## + ## value of p norm returns + ## ---------- ------------ + ## Inf max (abs (x)) + ## -Inf min (abs (x)) + ## other p-norm of x, sum (abs (x) .^ p) ^ (1/p) + ## + ## If the second argument is missing, p = 2 is assumed. + ## + ## See also: cond, svd if (nargin < 1 || nargin > 2) error ("usage: norm (x [, p])"); @@ -53,7 +54,7 @@ return; endif -# Do we have a vector or matrix as the first argument? + ## Do we have a vector or matrix as the first argument? if (rows (x) == 1 || columns (x) == 1)