A block lower triangular preconditioner for a class of complex symmetric system of linear equations

TL;DR

This paper introduces a block lower triangular preconditioner designed to improve the convergence of Krylov subspace methods like GMRES when solving complex symmetric linear systems, supported by eigenvalue analysis and numerical tests.

Contribution

The paper proposes a novel block lower triangular preconditioner specifically for complex symmetric systems, enhancing iterative solver efficiency.

Findings

Eigenvalue distribution analysis shows improved spectral properties.

Numerical experiments confirm faster convergence with the preconditioner.

Preconditioner effectively accelerates Krylov subspace methods.

Abstract

We present a block lower triangular (BLT) preconditioner to accelerate the convergence of nthe Krylov subspace iterative methods, such as generalized minimal residual (GMRES), for solving a broad class of complex symmetric system of linear equations. We analyze the eigenvalues distribution of preconditioned coefficient matrix. Numerical experiments are given to demonstrate the effectiveness of the BLT preconditioner.