Geodesic
Algebraic properties of the block GMRES and block Arnoldi methods
Electronic transactions on numerical analysis, Tome 33 (2009)
The solution of linear systems of equations with several right-hand sides is considered. Approximate solutions are conveniently computed by block GMRES methods. We describe and study three variants of block GMRES. These methods are based on three implementations of the block Arnoldi method, which differ in their choice of inner product.
Classification : 65F10
Keywords: block method, GMRES method, arnoldi method, matrix polynomial, multiple right-hand sides, block Krylov subspace, Schur complement, characteristic polynomial 
@article{ETNA_2009__33__a0,
     author = {Elbouyahyaoui,  L. and Messaoudi,  A. and Sadok,  H.},
     title = {Algebraic properties of the block {GMRES} and block {Arnoldi} methods},
     journal = {Electronic transactions on numerical analysis},
     year = {2009},
     volume = {33},
     zbl = {1188.65031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a0/}
}
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%A Sadok,  H.
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%J Electronic transactions on numerical analysis
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Elbouyahyaoui,  L.; Messaoudi,  A.; Sadok,  H. Algebraic properties of the block GMRES and block Arnoldi methods. Electronic transactions on numerical analysis, Tome 33 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__33__a0/