el Guennouni, A.; Jbilou, K.; Sadok, H. A block version of BiCGSTAB for linear systems with multiple right-hand sides. (English) Zbl 1065.65052 ETNA, Electron. Trans. Numer. Anal. 16, 129-142 (2003). Summary: We present a new block method for solving large nonsymmetric linear systems of equations with multiple right-hand sides. We first give the matrix polynomial interpretation of the classical block biconjugate gradient (Bl-BCG) algorithm using formal matrix-valued orthogonal polynomials. This allows us to derive a block version of BiCGSTAB. Numerical examples and comparisons with other block methods are given to illustrate the effectiveness of the proposed method. Cited in 52 Documents MSC: 65F10 Iterative numerical methods for linear systems Keywords:block Krylov subspace; comparison of methods; block methods; Lanczos method; multiple right-hand sides; nonsymmetric linear systems; block biconjugate gradient algorithm; numerical examples PDFBibTeX XMLCite \textit{A. el Guennouni} et al., ETNA, Electron. Trans. Numer. Anal. 16, 129--142 (2003; Zbl 1065.65052) Full Text: EuDML EMIS