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Section B

On the convergence of the Bl-LSQR algorithm for solving matrix equations

&
Pages 171-182 | Received 17 Jan 2009, Accepted 25 Sep 2009, Published online: 01 Dec 2010

References

  • El Guennouni , A. , Jbilou , K. and Sadok , H. 2004 . The block Lanczos method for linear systems with multiple right-hand sides . J. Appl. Numer. Math. , 51 : 243 – 256 .
  • El Guennouni , A. , Jbilou , K. and Sadok , H. 2003 . A block BiCGSTAB algorithm for multiple linear systems . Electron Trans. Numer. Anal. , 16 : 129 – 142 .
  • Freund , R. and Malhotra , M. 1997 . A block-QMR algorithm for non-Hermitian linear systems with multiple right-hand sides . Linear Algebra Appl. , 254 : 119 – 157 .
  • Jbilou , K. 1999 . Smoothing iterative block methods for linear systems with multiple right-hand sides . J. Comput. Appl. Math. , 107 : 97 – 109 .
  • Karimi , S. and Toutounian , F. 2006 . The block least squares method for solving nonsymmetric linear systems with multiple right-hand sides . Appl. Math. Comput. , 177 : 852 – 862 .
  • Nikishin , A. and Yeremin , A. 1995 . Variable block CG algorithms for solving large sparse symmetric positive definite linear systems on parallel computers, I: General iterative scheme . SIAM J. Matrix Anal. Appl. , 16 : 1135 – 1153 .
  • O'Leary , D. 1980 . The block conjugate gradient algorithm and related methods . Linear Algebra Appl. , 29 : 293 – 322 .
  • Paige , C. C. and Saunders , M. A. 1982 . LSQR: An algorithm for sparse linear equations and sparse least squares . ACM Trans. Math. Softw. , 8 ( 1 ) : 43 – 71 .
  • Saad , Y. and Schultz , M. H. 1986 . GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems . SIAM J. Sci. Statist. Comput. , 7 : 856 – 869 .
  • Simoncini , V. 1997 . A stabilized QMR version of block BICG . SIAM J. Matrix Anal. Appl. , 18 ( 2 ) : 419 – 434 .
  • B. Vital, Etude de Queques Méthodes de Résolution de Problémes Linéares de Grande Taille sur Multiprocessor, Ph.D. thesis, Univérsité de Rennes, France, 1990

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