메뉴 건너뛰기




Volumn 43, Issue 2, 2003, Pages 231-244

Approximate inverse preconditioning for shifted linear systems

Author keywords

Preconditioning; Shifted linear systems; Sparse approximate inverses

Indexed keywords


EID: 4043133030     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026089811044     Document Type: Article
Times cited : (70)

References (16)
  • 2
    • 0034889465 scopus 로고    scopus 로고
    • Robust approximate inverse preconditioning for the conjugate gradient method
    • M. Benzi, J. K. Cullum, and M. Tůma, Robust approximate inverse preconditioning for the conjugate gradient method, SIAM J. Sci. Comput. 22 (2000), pp. 1318-1332.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 1318-1332
    • Benzi, M.1    Cullum, J.K.2    Tůma, M.3
  • 3
    • 0035850685 scopus 로고    scopus 로고
    • Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics
    • M. Benzi, R. Kouhia, and M. Tůma, Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6533-6554.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6533-6554
    • Benzi, M.1    Kouhia, R.2    Tůma, M.3
  • 4
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • M. Benzi, C. D. Meyer, and M. Tůma, A sparse approximate inverse preconditioner for the conjugate gradient method, SIAM J. Sci. Comput., 17 (1996), pp. 1135-1149.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.D.2    Tůma, M.3
  • 5
    • 18844471650 scopus 로고    scopus 로고
    • Orderings for factorized sparse approximate inverse pre-conditioners
    • M. Benzi and M. Tůma, Orderings for factorized sparse approximate inverse pre-conditioners, SIAM J. Sci. Comput., 21 (2000), pp. 1851-1868.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1851-1868
    • Benzi, M.1    Tůma, M.2
  • 6
    • 0034975734 scopus 로고    scopus 로고
    • A circulant preconditioner for the systems of LMF-based ODE codes
    • D. Bertaccini, A circulant preconditioner for the systems of LMF-based ODE codes, SIAM J. Sci. Comput., 22 (2000), pp. 767-786.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 767-786
    • Bertaccini, D.1
  • 7
    • 0035578458 scopus 로고    scopus 로고
    • Reliable preconditioned iterative linear solvers for some numerical integrators
    • D. Bertaccini, Reliable preconditioned iterative linear solvers for some numerical integrators, Numer. Linear Algebra Appl., 8 (2001), pp. 111-125.
    • (2001) Numer. Linear Algebra Appl. , vol.8 , pp. 111-125
    • Bertaccini, D.1
  • 8
    • 0037288882 scopus 로고    scopus 로고
    • On the relations between ILUs and factored approximate inverses
    • M. Bollhöfer and Y. Saad, On the relations between ILUs and factored approximate inverses, SIAM J. Matrix Anal. Appl., 24 (2002), pp. 219-237.
    • (2002) SIAM J. Matrix Anal. Appl. , vol.24 , pp. 219-237
    • Bollhöfer, M.1    Saad, Y.2
  • 9
    • 84966252352 scopus 로고
    • Decay rates for inverses of band matrices
    • S. Demko, W. F. Moss, and P. W. Smith, Decay rates for inverses of band matrices, Math. Comp., 43 (1984), pp. 491-499.
    • (1984) Math. Comp. , vol.43 , pp. 491-499
    • Demko, S.1    Moss, W.F.2    Smith, P.W.3
  • 11
    • 0000183429 scopus 로고    scopus 로고
    • On optimization techniques for solving nonlinear inverse problems
    • E. Haber, U. M. Ascher, and D. Oldenburg, On optimization techniques for solving nonlinear inverse problems, Inverse Problems, 16 (2000), pp. 1263-1280.
    • (2000) Inverse Problems , vol.16 , pp. 1263-1280
    • Haber, E.1    Ascher, U.M.2    Oldenburg, D.3
  • 13
    • 0442281595 scopus 로고    scopus 로고
    • A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form
    • S. A. Kharchenko, L. Yu. Kolotilina, A. A. Nikishin, and A. Yu. Yeremin, A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form, Numer. Linear Algebra Appl., 8 (2001), pp. 165-179.
    • (2001) Numer. Linear Algebra Appl. , vol.8 , pp. 165-179
    • Kharchenko, S.A.1    Kolotilina, L.Yu.2    Nikishin, A.A.3    Yeremin, A.Yu.4
  • 14
    • 0000809242 scopus 로고
    • A review on the inverse of symmetric tridiagonal and block tridiagonal matrices
    • G. Meurant, A review on the inverse of symmetric tridiagonal and block tridiagonal matrices, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 707-728.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 707-728
    • Meurant, G.1
  • 15
    • 0036223272 scopus 로고    scopus 로고
    • On the incomplete Cholesky decomposition of a class of perturbed matrices
    • G. Meurant, On the incomplete Cholesky decomposition of a class of perturbed matrices, SIAM J. Sci. Comput., 23 (2001), pp. 419-429.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 419-429
    • Meurant, G.1
  • 16
    • 20344394051 scopus 로고    scopus 로고
    • National Institute of Standards, Matrix market, available online at http://math.nist.gov/MatrixMarket.
    • Matrix Market


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.