On the choice of preconditioner for minimum residual methods for non-Hermitian matrices

We consider the solution of left preconditioned linear systems P- 1Cx=P-1c, where P,CECn×n are non-Hermitian, cECn, and C, P, and P-1C are diagonalisable with spectra symmetric about the real line. We prove that, when P and C are self-adjoint with respect to the same Hermitian sesquilinear form, the...

Full description

Bibliographic Details
Main Authors: Pestana, J, Wathen, A
Format: Journal article
Language:English
Published: 2013