automatic problem reduction

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mohamed

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Dec 18, 2009, 12:03:14 PM12/18/09
to CVXOPT
does solvers.lp detect repeated constraints and automatically reduce
the problem size?

e.g:
x1 + x2 <= 15
3x1 + 4x2 + 5x3 <= 40
2x1 + 2x2 <= 20

gets reduced to:
3x1 + 3x2 <= 35
3x1 + 4x2 + 5x3 <= 40

or :
3x1 + 3x2 <= 35
x2 + 5x3 <= 5

mohamed

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Dec 22, 2009, 1:48:46 PM12/22/09
to CVXOPT
ok, what I want to know is, is it better to have a script that inspect
the input problem and do the reduction before calling solvers.lp or
does it not make any difference in performance?

Joachim Dahl

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Dec 22, 2009, 2:06:19 PM12/22/09
to cvx...@googlegroups.com
Hi Mohamed.

All the solver routines in cvxopt require that the constraints are linearly
independant,  so you definitely need to do perform such an elimination
manually.

best regards
joachim

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