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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
A comparison of iterative methods to solve complex valued linear algebraic systems
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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