@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. }
}