Shermanova-Morrisonova formule použitá v metodě GMRES

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

An Application of the Shermann-Morrison Formula to the GMRES Method

Popis výsledku v původním jazyce

In this paper we present a technique to improve the restarted generalized minimal residual method (GMRES) through changing the original system of linear equations to a system with parameter-dependent convergence curve. The transition to the second systemis an application of the Sherman-Morrison formula. We prove the auxiliary system can assume any convergence curve and describe some options to apply this theoretical In this paper we present a technique to improve the restarted generalized minimal residual method (GMRES) through changing the original system of linear equations to a system with parameter-dependent convergence curve. The transition to the second system is an application of the Sherman-Morrison formula. We prove the auxiliary system can assume any convergence curve and describe some options to apply this theoretical result to the restarted GMRES method in order to prevent stagnation.

Název v anglickém jazyce

An Application of the Shermann-Morrison Formula to the GMRES Method

Popis výsledku anglicky

In this paper we present a technique to improve the restarted generalized minimal residual method (GMRES) through changing the original system of linear equations to a system with parameter-dependent convergence curve. The transition to the second systemis an application of the Sherman-Morrison formula. We prove the auxiliary system can assume any convergence curve and describe some options to apply this theoretical In this paper we present a technique to improve the restarted generalized minimal residual method (GMRES) through changing the original system of linear equations to a system with parameter-dependent convergence curve. The transition to the second system is an application of the Sherman-Morrison formula. We prove the auxiliary system can assume any convergence curve and describe some options to apply this theoretical result to the restarted GMRES method in order to prevent stagnation.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Conjugate Gradient Algorithms and Finite Element Methods

ISBN

3-540-21319-8

Počet stran výsledku

24

Strana od-do

69-92

Počet stran knihy

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Název nakladatele

Springer Verlag

Místo vydání

Berlin

Kód UT WoS kapitoly

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