Geodesic
Simpler block GMRES for nonsymmetric systems with multiple right-hand sides
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 1-9.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A Simpler Block GMRES algorithm is presented, which is a block version of Walker and Zhou's Simpler GMRES. Similar to Block GMRES, the new algorithm also minimizes the residual norm in a block Krylov space at every step. Theoretical analysis shows that the matrix-valued polynomials constructed by the new algorithm is the same as the original one. However, Simpler Block GMRES avoids the factorization of a block upper Hessenberg matrix. In consequence, it is much simpler to program and requires less work. Numerical experiments are conducted to illustrate the performance of the new block algorithm.
Classification : 65F10
Keywords: linear systems, iterative methods, block methods, GMRES, simpler GMRES 
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     author = {Liu, Hualei and Zhong, Baojiang},
     title = {Simpler block {GMRES} for nonsymmetric systems with multiple right-hand sides},
     journal = {Electronic transactions on numerical analysis},
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     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a24/}
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Liu, Hualei; Zhong, Baojiang. Simpler block GMRES for nonsymmetric systems with multiple right-hand sides. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 1-9. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a24/