Podrobnosti záznamu

    A comparison of iterative methods to solve complex valued linear algebraic systems
    Ahmad, B.
    Axelsson, Owe
    Neytcheva, M.
Typ dokumentu
    článek v odborném periodiku
Zdrojový dokument - seriál
    Numerical Algorithms
    -, září
    s. 1-33
    Autoři celkem: 3
    Rozsah: 33 s. : E
Předmětová kategorie
    complex symmetric
    linear systems
    real valued form
Klíčové slovo
Abstrakt (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.
    AV ČR Brno, Ústav geoniky
Kód přispěvatele
    AV ČR, ÚG
Zdrojový formát
Datum importu
    24. 10. 2014