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

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: A comparison of iterative methods to solve complex valued linear algebraic systems Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.it.uu.se/research/publications/reports/2013-005/2013-005-nc.pdf
Description	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. 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. (en)
Title	A comparison of iterative methods to solve complex valued linear algebraic systems A comparison of iterative methods to solve complex valued linear algebraic systems (en)
skos:prefLabel	A comparison of iterative methods to solve complex valued linear algebraic systems A comparison of iterative methods to solve complex valued linear algebraic systems (en)
skos:notation	RIV/68145535:_____/13:00397052!RIV15-AV0-68145535
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(ED1.1.00/02.0070)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Axelsson, Owe
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav geoniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	58505
http://linked.open...ai/riv/idVysledku	RIV/68145535:_____/13:00397052
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	linear systems; complex symmetric; real valued form; preconditioning (en)
http://linked.open.../riv/klicoveSlovo	complex symmetric real valued form preconditioning linear systems
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[7FF06E9D188A]
http://linked.open...i/riv/nazevZdroje	Numerical Algorithms
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	66
http://linked.open...iv/tvurceVysledku	Axelsson, Owe Ahmad, B. Neytcheva, M.
http://linked.open...ain/vavai/riv/wos	000340084300008
issn	1017-1398
number of pages	33 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s11075-013-9764-1

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software