G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing
GREYC CNRS ENSICAEN UNICAEN

A Full-Featured Open-Source Framework for Image Processing

Latest stable version: 3.5.5        Current pre-release: 3.6.0 (2025/07/24)

Reference

Table of Contents  ▸  List of Commands  ▸  Matrix Computation  ▸  invert◀  fitsamples    |    meigen  ▶

invert

Built-in command

Arguments:

Description:

Inverse selected matrices (or compute Moore-Penrose pseudoinverse for non-square matrices).

SVD solver is slower but more precise than LU.
lambda is used only in the Moore-Penrose pseudoinverse, by estimating A^t.(A^t.A + lambda.Id)^-1.

Default values:

use_LU=0 and lambda=0.

Example of use:

(0,1,0;0,0,1;1,0,0) +invert

Command: (0,1,0;0,0,1;1,0,0) +invert
Command: (0,1,0;0,0,1;1,0,0) +invert
G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing

G'MIC is an open-source software distributed under the CeCILL free software licenses (LGPL-like and/or
GPL-compatible). Copyrights (C) Since July 2008, David Tschumperlé - GREYC UMR CNRS 6072, Image Team.