메뉴 건너뛰기




Volumn 20, Issue , 2005, Pages 119-138

Oblique projection methods for linear systems with multiple right-hand sides

Author keywords

Block methods; Global Lanczos; Iterative methods; Matrix Krylov subspace; Multiple right hand sides; Nonsymmetric linear systems

Indexed keywords


EID: 29344465607     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (68)

References (22)
  • 1
    • 0001595068 scopus 로고
    • Avoiding breakdown and near-breakdown in Lanczos-type algorithms
    • C. BREZINSKI, M. REDIVO ZAGLIA AND H. SADOK, Avoiding breakdown and near-breakdown in Lanczos-type algorithms, Numerical Algorithms, 1 (1991), pp. 261-284.
    • (1991) Numerical Algorithms , vol.1 , pp. 261-284
    • Brezinski, C.1    Redivo Zaglia, M.2    Sadok, H.3
  • 2
    • 21144473062 scopus 로고
    • A breakdown-free Lanczos-type algorithm for solving linear systems
    • C. BREZINSKI, M. REDIVO-ZAGLIA AND H. SADOK, A breakdown-free Lanczos-type algorithm for solving linear systems, Numer. Math., 63 (1992), pp. 29-38.
    • (1992) Numer. Math. , vol.63 , pp. 29-38
    • Brezinski, C.1    Redivo-Zaglia, M.2    Sadok, H.3
  • 3
    • 34249762279 scopus 로고
    • Look-ahead in BiCGSTAB and other methods for linear systems
    • C. BREZINSKI AND M. REDIVO-ZAGLIA, Look-ahead In BiCGSTAB and other methods for linear systems, BIT, 35 (1995), pp. 169-201.
    • (1995) BIT , vol.35 , pp. 169-201
    • Brezinski, C.1    Redivo-Zaglia, M.2
  • 4
    • 0031261346 scopus 로고    scopus 로고
    • Analysis of projection methods for solving linear systems with multiple right-hand sides
    • T. CHAN AND W. WAN, Analysis of Projection Methods for Solving Linear Systems with Multiple Right-hand Sides, SIAM J. Sci. Comput., 18 (1997), pp. 1698-1721.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1698-1721
    • Chan, T.1    Wan, W.2
  • 5
    • 0037713098 scopus 로고
    • Polynomes orthogonaux formels. (french) [formal orthogonal polynomials] applications
    • Springer, Berlin Heidelberg New York
    • A. DRAUX, Polynomes Orthogonaux Formels. (French) [Formal orthogonal polynomials] Applications., LNM 974. Springer, Berlin Heidelberg New York, 1983.
    • (1983) LNM , vol.974
    • Draux, A.1
  • 6
    • 3042670801 scopus 로고    scopus 로고
    • A block version of BiCGSTAB for linear systems with multiple right-hand sides,Elec
    • A.EL GUENNOUNI, K. JBILOU AND H. SADOK A block version of BiCGSTAB for linear systems with multiple right-hand sides,Elec. Trans. Numer. Anal., 16 (2003), pp. 129-142. http://etna.mcs.kent.edu/vol.16.2003/pp129-142.dir/pp129- 142.pdf
    • (2003) Trans. Numer. Anal. , vol.16 , pp. 129-142
    • Guennouni, A.El.1    Jbilou, K.2    Sadok, H.3
  • 8
    • 0009598276 scopus 로고    scopus 로고
    • A block-QMR algorithm for non-hermitian linear systems with multiple right-hand sides
    • R. FREUND AND M. MALHOTRA, A Block-QMR Algorithm for Non-Hermitian Linear Systems with multiple Right-Hand Sides, Linear Alg. Appl., 254 (1997), pp. 119-157.
    • (1997) Linear Alg. Appl. , vol.254 , pp. 119-157
    • Freund, R.1    Malhotra, M.2
  • 9
    • 0033197189 scopus 로고    scopus 로고
    • Global FOM and GMRES algorithms for matrix equations
    • K. JBILOU, A. MESSAOUDI AND H. SADOK, Global FOM and GMRES algorithms for matrix equations, Appl. Numer. Math., 31 (1999) pp. 49-63.
    • (1999) Appl. Numer. Math. , vol.31 , pp. 49-63
    • Jbilou, K.1    Messaoudi, A.2    Sadok, H.3
  • 10
    • 0031554591 scopus 로고    scopus 로고
    • Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasi-minimal residual algorithm
    • M. MALHOTRA, R. FREUND AND P.M. PINSKY, Iterative Solution of Multiple Radiation and Scattering Problems in Structural Acoustics Using a Block Quasi-Minimal Residual Algorithm, Comp. Meth. Appl. Mech. Eng., 146 (1997), pp. 173-196.
    • (1997) Comp. Meth. Appl. Mech. Eng. , vol.146 , pp. 173-196
    • Malhotra, M.1    Freund, R.2    Pinsky, P.M.3
  • 11
    • 0001084178 scopus 로고
    • The block conjugate gradient algorithm and. related methods
    • D. O'LEARY, The block conjugate gradient algorithm and. related methods, Linear Algebra Appl., 29 (1980), pp. 293-322.
    • (1980) Linear Algebra Appl. , vol.29 , pp. 293-322
    • O'Leary, D.1
  • 12
    • 84966225678 scopus 로고
    • On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides
    • Y. SAAD, On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides, Math. Comp., 48 (1987), pp. 651-662.
    • (1987) Math. Comp. , vol.48 , pp. 651-662
    • Saad, Y.1
  • 13
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. SAAD AND M.H. SCHULTZ, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comp., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Stat. Comp. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 15
    • 21144469414 scopus 로고
    • Block Arnoldi and Davidson methods for unsymmetric large eigenvalue problems
    • M. SADKANE, Block Arnoldi and Davidson methods for unsymmetric large eigenvalue problems, Numer. Math., 64 (1993), pp. 687-706.
    • (1993) Numer. Math. , vol.64 , pp. 687-706
    • Sadkane, M.1
  • 17
    • 0031493596 scopus 로고    scopus 로고
    • A stabilized QMR version of block BICG
    • V. SIMONCINI, A stabilized QMR version of block BICG, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 419-434.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 419-434
    • Simoncini, V.1
  • 18
    • 0001448449 scopus 로고
    • An iterative method for nonsymmetric systems with multiple right-hand sides
    • V. SIMONCINI AND E. GALLOPOULOS, An Iterative Method for Nonsymmetric Systems with Multiple Right-hand Sides, SIAM J. Sci. Comp., 16 (1995), pp. 917-933.
    • (1995) SIAM J. Sci. Comp. , vol.16 , pp. 917-933
    • Simoncini, V.1    Gallopoulos, E.2
  • 19
    • 0024767311 scopus 로고
    • A conjugate gradient algorithm for treatement of multiple incident electromagnetic fields
    • C. SMITH, A. PETERSON AND R. MITTRA, A Conjugate Gradient Algorithm for Treatement of Multiple Incident Electromagnetic Fields, IEEE Transactions On Antennas and Propagation, 37 (1989), pp. 1490-1493.
    • (1989) IEEE Transactions on Antennas and Propagation , vol.37 , pp. 1490-1493
    • Smith, C.1    Peterson, A.2    Mittra, R.3
  • 21
    • 0001646445 scopus 로고
    • An iterative solution method for solving f(A) = b, using krylov subspace information obtained for the symmetric positive definite. matrix A
    • H.A. VAN DER VORST, An Iterative Solution Method for Solving f(A) = b, using Krylov Subspace Information Obtained for the Symmetric Positive Definite. Matrix A, J. Comp. Appl. Math., 18 (1987), pp. 249-263.
    • (1987) J. Comp. Appl. Math. , vol.18 , pp. 249-263
    • Van Der Vorst, H.A.1
  • 22
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fust and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems
    • H.A. VAN DER VORST, Bi-CGSTAB: A fust and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems, SIAM J. Sci. Stat. Comp., 12 (1992), pp. 631-644.
    • (1992) SIAM J. Sci. Stat. Comp. , vol.12 , pp. 631-644
    • Van Der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.