Article | REF: AF86 V1

Matrix calculation

Authors: Gérard DEBEAUMARCHÉ, Danièle LINO

Publication date: October 10, 1998, Review date: November 19, 2019

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5. Gauss pivot algorithm. Consequences

This paragraph describes the Gauss pivot algorithm. It allows :

  • a simple, numerically efficient algorithm for solving systems and inverting square matrices;

  • to specify simple generators of the linear group.

5.1 Basic matrix manipulations

In this section, we refer to M = (m i, j ) as a matrix belonging to Mn,p(K) . We now describe what are known as...

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Gauss pivot algorithm. Consequences