A comparison of iterative methods to solve complex valued linear algebraic systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00397052" target="_blank" >RIV/68145535:_____/13:00397052 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.it.uu.se/research/publications/reports/2013-005/2013-005-nc.pdf" target="_blank" >http://www.it.uu.se/research/publications/reports/2013-005/2013-005-nc.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11075-013-9764-1" target="_blank" >10.1007/s11075-013-9764-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A comparison of iterative methods to solve complex valued linear algebraic systems

Popis výsledku v původním jazyce

Complex valued linear algebraic systems arise in many important applica- tions. We present analytical and extensive numerical comparisons of some available numerical solution methods. It is advocated, in particular for large scale ill- conditioned problems, to rewrite the complex-valued system in real valued form leading to a two-by-two block system of particular form, for which it is shown that a very efficient and robust preconditioned iterative solution method can be constructed. Alternatively, in many cases it turns out that a simple preconditioner in the form of the sum of the real and the imaginary part of the matrix also works well but involves complex arithmetic.

Název v anglickém jazyce

A comparison of iterative methods to solve complex valued linear algebraic systems

Popis výsledku anglicky

Complex valued linear algebraic systems arise in many important applica- tions. We present analytical and extensive numerical comparisons of some available numerical solution methods. It is advocated, in particular for large scale ill- conditioned problems, to rewrite the complex-valued system in real valued form leading to a two-by-two block system of particular form, for which it is shown that a very efficient and robust preconditioned iterative solution method can be constructed. Alternatively, in many cases it turns out that a simple preconditioner in the form of the sum of the real and the imaginary part of the matrix also works well but involves complex arithmetic.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Numerical Algorithms

ISSN

1017-1398

e-ISSN

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Svazek periodika

66

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

33

Strana od-do

811-841

Kód UT WoS článku

000340084300008

EID výsledku v databázi Scopus

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