On the convergence optimization for a symmetric iteration method

Miroslav Šisler

Applications of Mathematics (1991)

  • Volume: 36, Issue: 1, page 21-31
  • ISSN: 0862-7940

Abstract

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In der Arbeit wird ein gewisses symmetrisches Iterationsverfahren für die Lösung des linearen algebraischen Gleichungsystems der Form x = B x + b mit einer schwach zweizyklischen Matrix untersucht. Die untersuchte Methode hängt von 3 reellen Parametern ab. In der Arbeit wird die Frage der optimalen Parameterwahl vom Gesichtspunkt der Konvergenzgeschwindigkeit gelöst.

How to cite

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Šisler, Miroslav. "Über die Konvergenzoptimierung eines symmetrischen Iterationsverfahrens." Applications of Mathematics 36.1 (1991): 21-31. <http://eudml.org/doc/15657>.

@article{Šisler1991,
author = {Šisler, Miroslav},
journal = {Applications of Mathematics},
keywords = {linear system; iterative method; weakly cyclic matrix; convergence; overrelaxation; nonsymmetric positive definite linear systems; bound on the spectral radius; convergence optimization; overrelaxation; nonsyummetric positive definite linear systems; weakly 2-cyclic matrix; bound on the spectral radius; iteration matrix},
language = {ger},
number = {1},
pages = {21-31},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Über die Konvergenzoptimierung eines symmetrischen Iterationsverfahrens},
url = {http://eudml.org/doc/15657},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Šisler, Miroslav
TI - Über die Konvergenzoptimierung eines symmetrischen Iterationsverfahrens
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 21
EP - 31
LA - ger
KW - linear system; iterative method; weakly cyclic matrix; convergence; overrelaxation; nonsymmetric positive definite linear systems; bound on the spectral radius; convergence optimization; overrelaxation; nonsyummetric positive definite linear systems; weakly 2-cyclic matrix; bound on the spectral radius; iteration matrix
UR - http://eudml.org/doc/15657
ER -

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