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

Content Provider	Springer Nature Link
Author	Axelsson, Owe Neytcheva, Maya Ahmad, Bashir
Copyright Year	2013
Abstract	Complex valued linear algebraic systems arise in many important applications. 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.
Starting Page	811
Ending Page	841
Page Count	31
File Format	PDF
ISSN	10171398
Journal	Numerical Algorithms
Volume Number	66
Issue Number	4
e-ISSN	15729265
Language	English
Publisher	Springer US
Publisher Date	2013-09-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear systems Complex symmetric Real valued form Preconditioning Numeric Computing Algorithms Algebra Theory of Computation Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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