@TechReport{ it:2013-005,
author = {Owe Axelsson and Maya Neytcheva and Bashir Ahmad},
title = {A Comparison of Iterative Methods to Solve Complex Valued
Linear Algebraic Systems},
institution = {Department of Information Technology, Uppsala University},
department = {Division of Scientific Computing},
year = {2013},
number = {2013-005},
month = mar,
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
methods 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 arithmetics. }
}