A method for solving a system of linear equations with a symmetric indefinite coefficient matrix

Izabela Czochralska

Mathematica Applicanda (2006)

  • Volume: 34, Issue: 48/07
  • ISSN: 1730-2668

Abstract

top
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.

How to cite

top

Izabela Czochralska. "A method for solving a system of linear equations with a symmetric indefinite coefficient matrix." Mathematica Applicanda 34.48/07 (2006): null. <http://eudml.org/doc/293104>.

@article{IzabelaCzochralska2006,
abstract = {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.},
author = {Izabela Czochralska},
journal = {Mathematica Applicanda},
keywords = {Gaussian elimination, triangular and triangular-diagonal factorization of a matrix, numerically stable diagonalization of a symmetric indefinite matrix.},
language = {eng},
number = {48/07},
pages = {null},
title = {A method for solving a system of linear equations with a symmetric indefinite coefficient matrix},
url = {http://eudml.org/doc/293104},
volume = {34},
year = {2006},
}

TY - JOUR
AU - Izabela Czochralska
TI - A method for solving a system of linear equations with a symmetric indefinite coefficient matrix
JO - Mathematica Applicanda
PY - 2006
VL - 34
IS - 48/07
SP - null
AB - 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.
LA - eng
KW - Gaussian elimination, triangular and triangular-diagonal factorization of a matrix, numerically stable diagonalization of a symmetric indefinite matrix.
UR - http://eudml.org/doc/293104
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.