Geodesic
A method for solving a system of linear equations with a symmetric indefinite coefficient matrix
Mathematica Applicanda, Tome 34 (2006) no. 48/07, pp. 45-51.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The subject of this article is a numerically stable method for solving nonsingular Cramerian systems of linear equations, with a symmetric indefinite coefficient matrix. It consists in adapting the algorithm presented in [1] that can stably and effectively diagonalize any indefinite symmetric matrix. It is in fact some modification of the Gaussian symmetric elimination procedure.
DOI : 10.14708/ma.v34i48/07.1497
Classification : 65F05
Mots-clés : Gaussian elimination, triangular and triangular-diagonal factorization of a matrix, numerically stable diagonalization of a symmetric indefinite matrix. 
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Izabela Czochralska. A method for solving a system of linear equations with a symmetric indefinite coefficient matrix. Mathematica Applicanda, Tome 34 (2006) no. 48/07, pp.  45-51. doi : 10.14708/ma.v34i48/07.1497. http://geodesic.mathdoc.fr/articles/10.14708/ma.v34i48/07.1497/

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