Simplex method in prime how to use the constrains maximise s.t. constraints.

[parisse]

simplex_reduce will solve a maximization problem with inequality constraints like 2x+4y<=22, not >=.
From the doc:
Reduction by simplex algorithm to find max(c.x) under A.x<=b and x>=0, b>=0. Returns the maximum, the augmented solution x and the reduced matrix.
It's unclear for me if it's possible to rewrite the initial problem and call simplex_reduce. Changing the sign of c would replace a max by a min, but you can't change sign of x (since x>=0), and if you negate Ax>=b, b would become <=0 instead of >=0

The COBYLA solver (in solve.cc in giac) could be added to the Prime codebase, we would probably have to display the license in the Terminal:

Code:


/*
 * Copyright (c) 1992, Michael J. D. Powell (M.J.D.Powell@damtp.cam.ac.uk)
 * Copyright (c) 2004, Jean-Sebastien Roy (js@jeannot.org)
 * 
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the
 * "Software"), to deal in the Software without restriction, including
 * without limitation the rights to use, copy, modify, merge, publish,
 * distribute, sublicense, and/or sell copies of the Software, and to
 * permit persons to whom the Software is furnished to do so, subject to
 * the following conditions:
 * 
 * The above copyright notice and this permission notice shall be included
 * in all copies or substantial portions of the Software.
 * 
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
 * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
 * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
 * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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But lpsolve can not, it is released under GPL3 license.