Note

This tool is part of the GAMS Tools Library. Please inspect the general information about GAMS Tools.

This calculates the inverse of a square matrix A: A*AInv = I. The matrices A and AInv are indexed over (i,i).

Usage

Command line:

gamstool [linalg.]Invert i A AInv gdxIn=fileIn.gdx gdxOut=fileOut.gdx

Compile time:

$callTool [linalg.]Invert i A AInv [gdxIn=fileIn.gdx] [gdxOut=fileOut.gdx]

Execution time:

executeTool '[linalg.]Invert i A AInv [gdxIn=fileIn.gdx] [gdxOut=fileOut.gdx]';

Where:

Argument	Description
i	Name of set used in matrix i(*).
A	Name of two-dimensional matrix parameter A(i,i).
AInv	Name of two-dimensional parameter containing the inverse AInv(i,i).

The following parameters are available:

Parameter	Description
gdxIn=fileIn.gdx	Name of GDX file that contains symbols i and A. Mandatory if called from the command line, otherwise optional.
gdxOut=fileOut.gdx	Name of GDX file that contains symbol AInv after execution. Mandatory if called from the command line, otherwise optional.

Example

Set i /i1*i3 /;

Alias (i,j);

Table a(i,j) 'original matrix'
        i1   i2   i3
   i1    1    2    3
   i2    1    3    4
   i3    1    4    3;

Parameter inva(i,j) 'inverse of a';

execute_unload 'a.gdx', i, a;
executeTool.checkErrorLevel 'linalg.invert i a inva -gdxIn=a.gdx -gdxOut=b.gdx';
execute_load 'b.gdx', inva;

display a, inva;