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## Re: [Help-glpk] Table Simplex: inverse of the matrix of the basic variab

**From**: |
Andrew Makhorin |

**Subject**: |
Re: [Help-glpk] Table Simplex: inverse of the matrix of the basic variables |

**Date**: |
Wed, 15 Oct 2014 09:46:53 +0400 |

>* I wonder how can I get (using API functions) the inverse of the basic*
>* matrix variables (B^-1) after obtaining the optimum of a linear*
>* problem.*
The api routine glp_ftran computes y = inv(B) * x for a given vector x,
so if you specify x = ej, where ej is j-th unity vector (i.e. j-th
column of unity matrix), you can compute inv(B) * ej, which is j-th
column of inv(B). Thus, using glp_ftran you can compute entire inv(B) by
columns. Similarly, using glp_btran you can compute inv(B) by rows. For
details please see chapter "Advanced API Routines" in the GLPK Reference
Manual.

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**Re: [Help-glpk] Table Simplex: inverse of the matrix of the basic variables**,
*Andrew Makhorin* **<=**