Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
Incremental improvement to an existing iterative method for solving complex symmetric linear systems.
The paper proposes a preconditioned GSOR iterative method for complex symmetric linear systems, showing that its spectral radius can be smaller than the standard GSOR method under certain conditions, with numerical experiments confirming effectiveness.
In this paper, we present a preconditioned variant of the generalized successive overrelaxation (GSOR) iterative method for solving a broad class of complex symmetric linear systems. We study conditions under which the spectral radius of the iteration matrix of the preconditioned GSOR method is smaller than that of the GSOR method and determine the optimal values of iteration parameters. Numerical experiments are given to verify the validity of the presented theoretical results and the effectiveness of the preconditioned GSOR method.