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Volumn 186, Issue 2, 2006, Pages 416-431

Diagonally-striped matrices and approximate inverse preconditioners

Author keywords

Banded matrices; Inverses; Preconditioners; Sparse approximate inverses

Indexed keywords

APPROXIMATION THEORY; INVERSE PROBLEMS; LINEAR SYSTEMS; RADIATION EFFECTS;

EID: 26444604799     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.02.012     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 10444231639 scopus 로고
    • Exact inverses of certain band matrices
    • E.L. Allgower Exact inverses of certain band matrices Numer. Math. 21 1973 279 284
    • (1973) Numer. Math. , vol.21 , pp. 279-284
    • Allgower, E.L.1
  • 2
    • 26444449660 scopus 로고    scopus 로고
    • On the performance of SPAI and ADI-like preconditioners for core collapse supernova simulations in one spatial dimension
    • Department of Computer Science, University of Illlinois, Urbana-Champaign
    • R. Balakrishnan, E.F. D'Azevedo, J.W. Fettig, B. Messer, A. Mezzacappa, F. Saied, P.E. Saylor, D.C. Smolarski, F.D. Swesty, On the performance of SPAI and ADI-like preconditioners for core collapse supernova simulations in one spatial dimension, Technical Report UIUCDCS-R-2003-2335, Department of Computer Science, University of Illlinois, Urbana-Champaign, 2003.
    • (2003) Technical Report , vol.UIUCDCS-R-2003-2335
    • Balakrishnan, R.1    D'Azevedo, E.F.2    Fettig, J.W.3    Messer, B.4    Mezzacappa, A.5    Saied, F.6    Saylor, P.E.7    Smolarski, D.C.8    Swesty, F.D.9
  • 3
    • 26444616315 scopus 로고    scopus 로고
    • Submitted for publication
    • J. Sci. Comput., 2004, Submitted for publication.
    • (2004) J. Sci. Comput.
  • 4
    • 3342892523 scopus 로고
    • On inversion of toeplitz and close to toeplitz matrices
    • A. Ben-Artzi, and T. Shalom On inversion of toeplitz and close to toeplitz matrices Linear Algebra Appl. 75 1986 173 192
    • (1986) Linear Algebra Appl. , vol.75 , pp. 173-192
    • Ben-Artzi, A.1    Shalom, T.2
  • 8
    • 0033678265 scopus 로고    scopus 로고
    • A priori sparsity patterns for parallel sparse approximate inverse preconditioners
    • E.T.-F. Chow A priori sparsity patterns for parallel sparse approximate inverse preconditioners SIAM J. Sci. Comput. 21 2000 1804 1822
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1804-1822
    • Chow, E.T.-F.1
  • 9
    • 0003046567 scopus 로고
    • New inversion formulas for matrices classified in terms of their distance from toeplitz matrices
    • B. Friedlander, M. Morf, T. Kailath, and L. Ljung New inversion formulas for matrices classified in terms of their distance from toeplitz matrices Linear Algebra Appl. 27 1979 31 60
    • (1979) Linear Algebra Appl. , vol.27 , pp. 31-60
    • Friedlander, B.1    Morf, M.2    Kailath, T.3    Ljung, L.4
  • 10
    • 21344476775 scopus 로고
    • Predicting structure in sparse matrix computations
    • J.R. Gilbert Predicting structure in sparse matrix computations SIAM J. Matrix Anal. Appl. 15 1994 62 79
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 62-79
    • Gilbert, J.R.1
  • 11
    • 0004115880 scopus 로고
    • On approximate-inverse preconditioners
    • Computing and Information Systems Department, Rutherford Appleton Laboratory, Oxfordshire, England
    • N.I.M. Gould, J.A. Scott, On approximate-inverse preconditioners, Technical Report RAL 95-026, Computing and Information Systems Department, Rutherford Appleton Laboratory, Oxfordshire, England, 1995.
    • (1995) Technical Report , vol.RAL 95-026
    • Gould, N.I.M.1    Scott, J.A.2
  • 13
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • M.J. Grote, and T. Huckle Parallel preconditioning with sparse approximate inverses SIAM J. Sci. Comput. 18 1997 838 853
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2
  • 14
    • 21344447466 scopus 로고    scopus 로고
    • Analytical inversion of symmetric tridiagonal matrices
    • G.Y. Hu, and R.F. O'Connell Analytical inversion of symmetric tridiagonal matrices J. Phys. A 29 1996 1511 1513
    • (1996) J. Phys. A , vol.29 , pp. 1511-1513
    • Hu, G.Y.1    O'Connell, R.F.2
  • 15
    • 0142083858 scopus 로고
    • A preconditioned conjugate gradient method for solving discrete analogs of differential problems
    • I.E. Kaporin A preconditioned conjugate gradient method for solving discrete analogs of differential problems Differential Equations 26 1990 897 906
    • (1990) Differential Equations , vol.26 , pp. 897-906
    • Kaporin, I.E.1
  • 16
    • 0000950308 scopus 로고
    • Explicit preconditioning of systems of linear algebraic equations with dense matrices
    • L.Yu. Kolotilina Explicit preconditioning of systems of linear algebraic equations with dense matrices J. Soviet Math. 43 1988 2566 2573
    • (1988) J. Soviet Math. , vol.43 , pp. 2566-2573
    • Kolotilina, L.Yu.1
  • 17
    • 0040620807 scopus 로고
    • Inversion of toeplitz matrices with only two standard equations
    • G. Labahn, and T. Shalom Inversion of toeplitz matrices with only two standard equations Linear Algebra Appl. 175 1992 143 158
    • (1992) Linear Algebra Appl. , vol.175 , pp. 143-158
    • Labahn, G.1    Shalom, T.2
  • 18
    • 21344497404 scopus 로고
    • Inversion of toeplitz structured matrices using only standard equations
    • G. Labahn, and T. Shalom Inversion of toeplitz structured matrices using only standard equations Linear Algebra Appl. 207 1994 49 70
    • (1994) Linear Algebra Appl. , vol.207 , pp. 49-70
    • Labahn, G.1    Shalom, T.2
  • 19
    • 0031067976 scopus 로고    scopus 로고
    • The inverse of a symmetric banded toeplitz matrix
    • D.A. Lavis, and B.W. Southern The inverse of a symmetric banded toeplitz matrix Rep. Math. Phys. 39 1997 137 146
    • (1997) Rep. Math. Phys. , vol.39 , pp. 137-146
    • Lavis, D.A.1    Southern, B.W.2
  • 20
    • 0023594335 scopus 로고
    • Determination of stripe structures for finite element matrices
    • R. Melhem Determination of stripe structures for finite element matrices SIAM J. Numer. Anal. 24 1987 1419 1433
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 1419-1433
    • Melhem, R.1
  • 21
    • 0023962536 scopus 로고
    • Parallel solution of linear systems with striped sparse matrices
    • R. Melham Parallel solution of linear systems with striped sparse matrices Parallel Comput. 6 1988 165 184
    • (1988) Parallel Comput. , vol.6 , pp. 165-184
    • Melham, R.1
  • 22
    • 4043111342 scopus 로고    scopus 로고
    • A comparison of algorithms for the efficient solution of the linear systems arising from multi-group flux-limited diffusion problems
    • F.D. Swesty, D.C. Smolarski, and P.E. Saylor A comparison of algorithms for the efficient solution of the linear systems arising from multi-group flux-limited diffusion problems Astrophys. J. Suppl. Ser. 153 2004 369 387
    • (2004) Astrophys. J. Suppl. Ser. , vol.153 , pp. 369-387
    • Swesty, F.D.1    Smolarski, D.C.2    Saylor, P.E.3
  • 23
    • 0000307017 scopus 로고
    • An algorithm for the inversion of finite toeplitz matrices
    • W.F. Trench An algorithm for the inversion of finite toeplitz matrices J. Soc. Indust. Appl. Math. 12 1964 515 522
    • (1964) J. Soc. Indust. Appl. Math. , vol.12 , pp. 515-522
    • Trench, W.F.1
  • 24
    • 0002021034 scopus 로고
    • Inversion of toeplitz matrices II
    • H. Widom Inversion of toeplitz matrices II Illinois J. Math. 4 1960 88 99
    • (1960) Illinois J. Math. , vol.4 , pp. 88-99
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.