@article {6184,
	title = {Dynamic block GMRES: an iterative method for block linear systems},
	volume = {27},
	year = {2007},
	note = {n/a},
	month = {2007},
	pages = {423 - 448},
	abstract = {<p>We present variants of the block-GMRES($m$) algorithms due to Vital and the block-LGMRES($m$,$k$) by Baker, Dennis and Jessup, obtained with replacing the standard QR factorization by a rank-revealing QR factorization in the Arnoldi process. The resulting algorithm allows for dynamic block deflation whenever there is a linear dependency between the Krylov vectors or the convergence of a right-hand-side occurs. $\textsc{Fortran 90}$implementations of the algorithms were tested on a number of test matrices and the results show that in some cases a substantial reduction of the execution time is obtained. Also a parallel implementation of our variant of the block-GMRES($m$) algorithm, using $\textsc{Fortran 90}$and $\textsc{MPI}$was tested on $\textsc{SunFire 15K}$parallel computer, showing good parallel efficiency.</p>
},
	isbn = {1572-9044},
	url = {https://doi.org/10.1007/s10444-006-9012-5},
	author = {R.D da Cunha and Becker, D.}
}
