Optimizing and improving of the C-to-R method for solving complex symmetric linear systems
The authors are concerned with the numerical solution of complex symmetric linear systems of equations, written in a real $2 \times 2$ block form. They reconsider a C-to-R method, previously proposed by \textit{O. Axelsson} and \textit{A. Kucherov} [Numer. Linear Algebra Appl. 7, No. 4, 197--218 (2000; Zbl 1051.65025)], for which they design and analyse an optimized preconditioner. This leads to better eigenvalue bounds for the preconditioned matrix, which implies that the preconditioner is more robust and efficient than some existing methods.
scientific article; zbMATH DE number 6891860