A block lower triangular preconditioner for a class of complex symmetric system of linear equations
For researchers solving complex symmetric linear systems, this work presents a new preconditioner that improves iterative solver convergence, though it is an incremental contribution within numerical linear algebra.
The authors propose a block lower triangular preconditioner to accelerate Krylov subspace methods (e.g., GMRES) for solving complex symmetric linear systems, demonstrating effectiveness through eigenvalue analysis and numerical experiments.
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.