NAME inverse - inverse of value SYNOPSIS inverse(x) TYPES If x is an object of type xx, the function xx_inv has to have been defined; any conditions on x and the nature of the returned value will depend on the definition of xx_inv. For non-object x: x nonzero number (real or complex) or nonsingular matrix return number or matrix DESCRIPTION For real or complex x, inverse(x) returns the value of 1/x. If x is a nonsingular n x n matrix and its elements are numbers or objects for which the required arithmetic operations are defined, inverse(x) returns the matrix m for which m * x = x * m = the unit n x n matrix. The inverse m will have the same index limits as x. EXAMPLE ; print inverse(5/4), inverse(-2/7), inverse(3 + 4i) .8 -3.5 .12-.16i ; mat A[2,2] = {2,3,5,7} ; print inverse(A) mat [2,2] (4 elements, 4 nonzero): [0,0] = -7 [0,1] = 3 [1,0] = 5 [1,1] = -2 LIMITS none LINK LIBRARY void invertvalue(VALUE *x, VALUE *vres) NUMBER *qinv(NUMBER *x) COMPLEX *c_inv(COMPLEX *x) MATRIX *matinv(MATRIX *x) SEE ALSO ## Copyright (C) 1999 Landon Curt Noll ## ## Calc is open software; you can redistribute it and/or modify it under ## the terms of the version 2.1 of the GNU Lesser General Public License ## as published by the Free Software Foundation. ## ## Calc 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 Lesser General ## Public License for more details. ## ## A copy of version 2.1 of the GNU Lesser General Public License is ## distributed with calc under the filename COPYING-LGPL. You should have ## received a copy with calc; if not, write to Free Software Foundation, Inc. ## 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA. ## ## @(#) $Revision: 29.4 $ ## @(#) $Id: inverse,v 29.4 2006/05/07 07:25:46 chongo Exp $ ## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/inverse,v $ ## ## Under source code control: 1996/03/12 23:10:01 ## File existed as early as: 1996 ## ## chongo /\oo/\ http://www.isthe.com/chongo/ ## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/