The block Lanczos method for linear systems with multiple right-hand sides
The block Lanczos method for solving linear systems with multiple right-hand sides is considered. The authors consider the simultaneous solution as more efficient than the application to each linear systen. In the last years, block solvers such as Bl-BCG, Bl-GMRES, Bl-QMR and Bl-BiCGSTAB have been constructed. Here matrix-valued orthogonal polynomials are used to derive block Lanczos-type methods such as block Orthodir and block BIODIR. The matrix polynomials are obtained from Schur complements of matrices that are almost Hankel matrices.
scientific article; zbMATH DE number 2116193