A block version of BiCGSTAB for linear systems with multiple right-hand sides
Electronic transactions on numerical analysis, Tome 16 (2003), pp. 129-142
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.
Classification :
65F10
Keywords: block Krylov subspace, block methods, Lanczos method, multiple right-hand sides, nonsymmetric linear systems
Keywords: block Krylov subspace, block methods, Lanczos method, multiple right-hand sides, nonsymmetric linear systems
@article{ETNA_2003__16__a3,
author = {el Guennouni, A. and Jbilou, K. and Sadok, H.},
title = {A block version of {BiCGSTAB} for linear systems with multiple right-hand sides},
journal = {Electronic transactions on numerical analysis},
pages = {129--142},
year = {2003},
volume = {16},
zbl = {1065.65052},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a3/}
}
TY - JOUR AU - el Guennouni, A. AU - Jbilou, K. AU - Sadok, H. TI - A block version of BiCGSTAB for linear systems with multiple right-hand sides JO - Electronic transactions on numerical analysis PY - 2003 SP - 129 EP - 142 VL - 16 UR - http://geodesic.mathdoc.fr/item/ETNA_2003__16__a3/ LA - en ID - ETNA_2003__16__a3 ER -
%0 Journal Article %A el Guennouni, A. %A Jbilou, K. %A Sadok, H. %T A block version of BiCGSTAB for linear systems with multiple right-hand sides %J Electronic transactions on numerical analysis %D 2003 %P 129-142 %V 16 %U http://geodesic.mathdoc.fr/item/ETNA_2003__16__a3/ %G en %F ETNA_2003__16__a3
el Guennouni, A.; Jbilou, K.; Sadok, H. A block version of BiCGSTAB for linear systems with multiple right-hand sides. Electronic transactions on numerical analysis, Tome 16 (2003), pp. 129-142. http://geodesic.mathdoc.fr/item/ETNA_2003__16__a3/