메뉴 건너뛰기




Volumn 20, Issue , 2005, Pages 75-85

Crout versions of ilu factorization with pivoting for sparse symmetric matrices

Author keywords

Bunch Kaufman pivoting; Crout factorization; Diagonal pivoting; ILU; ILU with threshold; ILUC; Incomplete LU factorization; Iterative methods; Preconditioning; Sparse Gaussian elimination; Sparse symmetric matrices

Indexed keywords


EID: 29344475227     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (24)
  • 1
    • 0032216895 scopus 로고    scopus 로고
    • Accurate symmetric indefinite linear equation solvers
    • C. AHSCRAFT, R. G. GRIMES, AND T. G. LEWIS, Accurate Symmetric Indefinite Linear Equation Solvers, SIAM J. Matrix Anal. Appl., 20 (1998), No. 2, pp. 513-561.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.2 , pp. 513-561
    • Ahscraft, C.1    Grimes, R.G.2    Lewis, T.G.3
  • 2
    • 0036018632 scopus 로고    scopus 로고
    • A factored approximate inverse preconditioner with pivoting
    • M. BOLLHÖFER AND Y. SAAD, A factored approximate inverse preconditioner with pivoting, SIAM J. Matrix Anal. Appl., 23 (2001), No. 3, pp. 692-705.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.3 , pp. 692-705
    • Bollhöfer, M.1    Saad, Y.2
  • 3
    • 0035889740 scopus 로고    scopus 로고
    • A robust ILU with pivoting based on monitoring the growth of the inverse factors
    • M. BOLLHÖFER, A robust ILU with pivoting based on monitoring the growth of the inverse factors, Linear Algebra Appl., 338 (2001), No. 1-3, pp. 201-218.
    • (2001) Linear Algebra Appl. , vol.338 , Issue.1-3 , pp. 201-218
    • Bollhöfer, M.1
  • 4
    • 0015200767 scopus 로고
    • Direct methods for solving symmetric indefinite systems of linear equations
    • J. R. BUNCH AND B. N. PARLETT, Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations, SIAM J. Matrix Anal. Appl., 8 (1971), pp. 639-655.
    • (1971) SIAM J. Matrix Anal. Appl. , vol.8 , pp. 639-655
    • Bunch, J.R.1    Parlett, B.N.2
  • 5
    • 84976691565 scopus 로고
    • Equilibration of symmetric matrices in the max-norm.
    • 3
    • J. R. BUNCH, Equilibration of Symmetric Matrices in the Max-Norm., 3. ACM, 18 (1971), No. 4, pp. 566-572.
    • (1971) ACM , vol.18 , Issue.4 , pp. 566-572
    • Bunch, J.R.1
  • 6
    • 84966228742 scopus 로고
    • Some stable methods for calculating inertia and solving symmetric linear systems
    • J. R. BUNCH AND L. KAUFMAN, Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems, Math. Comp., 31 (1977), No. 137, pp. 163-179.
    • (1977) Math. Comp. , vol.31 , Issue.137 , pp. 163-179
    • Bunch, J.R.1    Kaufman, L.2
  • 8
    • 0013269731 scopus 로고
    • University of florida sparse matrix collection
    • (October 16)
    • T. DAVIS, University of Florida Sparse Matrix Collection, http://www.cise.ufl.edu/research/sparse/matrices, NA Digest, 92'(1994, October 16), No. 42,
    • (1994) NA Digest , vol.92 , Issue.42
    • Davis, T.1
  • 9
    • 29344445320 scopus 로고    scopus 로고
    • (July 23)
    • NA Digest, 96 (1996, July 23), No. 28,
    • (1996) NA Digest , vol.96 , Issue.28
    • Davis, T.1
  • 10
    • 29344432735 scopus 로고    scopus 로고
    • (June 7)
    • and NA Digest, 97 (1997, June 7), No. 23.
    • (1997) NA Digest , vol.97 , Issue.23
    • Davis, T.1
  • 11
    • 0033242220 scopus 로고    scopus 로고
    • The design and use of algorithms for permuting large entries to the diagonal of sparse matrices
    • I. S. DUFF AND J. KOSTER, The design and use of algorithms for permuting large entries to the diagonal of sparse matrices, SIAM J. Matrix Anal. Appl., 20 (1999), No. 4, pp. 889-901.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.4 , pp. 889-901
    • Duff, I.S.1    Koster, J.2
  • 12
    • 33646246957 scopus 로고    scopus 로고
    • Strategies for scaling and pivoting for sparse symmetric indefinite problems
    • (to appear)
    • I. S. DUFF AND S. PRALET, Strategies for scaling and pivoting for sparse symmetric indefinite problems, SIAM J. Matrix Anal. Appl., (to appear).
    • SIAM J. Matrix Anal. Appl.
    • Duff, I.S.1    Pralet, S.2
  • 13
    • 0000597864 scopus 로고
    • Algorithms and data structures for sparse symmetric Gaussian elimination
    • S. C. EISENSTAT, M. H. SCHULTZ, AND A. H. SHERMAN, Algorithms and data structures for sparse symmetric Gaussian elimination, SIAM J. Sci. Comput., 2 (1981), pp. 225-237.
    • (1981) SIAM J. Sci. Comput. , vol.2 , pp. 225-237
    • Eisenstat, S.C.1    Schultz, M.H.2    Sherman, A.H.3
  • 15
    • 20044393607 scopus 로고    scopus 로고
    • Weighted matchings for the preconditioning of symmetric indefinite linear systems
    • Department of Computer Science, University of Basel
    • M. HAGEMANN AND O. SCHENK, Weighted Matchings for the Preconditioning of Symmetric Indefinite Linear Systems, Technical Report CS-2004-005, Department of Computer Science, University of Basel.
    • Technical Report , vol.CS-2004-005
    • Hagemann, M.1    Schenk, O.2
  • 17
    • 0031538118 scopus 로고    scopus 로고
    • Stability of the diagonal pivoting method with partial pivoting
    • N. J. HIGHAM, Stability of the diagonal pivoting method with partial pivoting, SIAM J. Matrix Anal. Appl., 18 (2000), No. 1, pp. 52-65.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.1 , pp. 52-65
    • Higham, N.J.1
  • 18
    • 0001809440 scopus 로고
    • An improved incomplete Cholesky factorization
    • M. JONES AND P. PLASSMANN, An improved incomplete Cholesky factorization, ACM Trans. Math. Software, 21 (1995), pp. 5-17.
    • (1995) ACM Trans. Math. Software , vol.21 , pp. 5-17
    • Jones, M.1    Plassmann, P.2
  • 19
    • 2342480530 scopus 로고    scopus 로고
    • Crout versions of ILU for general sparse matrices
    • N. LI, Y. SA AD, AND E. CHOW, Crout versions of ILU for general sparse matrices, SIAM J. Sci. Comput., 25 (2003), No. 2, pp. 716-728.
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.2 , pp. 716-728
    • Li, N.1    Ad, Y.S.A.2    Chow, E.3
  • 21
    • 0033296578 scopus 로고    scopus 로고
    • Linear algebra methods in a mixed approximation of magnetostatic problems
    • I. PERUGIA, V. SIMONCINI, AND M. ARIOLI, Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems, SIAM J. Sci. Comput., 21 (1999), No. 3, pp. 1085-1101.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.3 , pp. 1085-1101
    • Perugia, I.1    Simoncini, V.2    Arioli, M.3
  • 22
    • 0003550735 scopus 로고
    • SPARSKIT: A basic tool kit for sparse matrix computations
    • Research Institute for Advanced Computer Science, NASA Ames Research Center, Moffet Field, CA
    • Y. SAAD, SPARSKIT: A basic tool kit for sparse matrix computations, Technical Report RIACS-90-20, Research Institute for Advanced Computer Science, NASA Ames Research Center, Moffet Field, CA, 1990.
    • (1990) Technical Report , vol.RIACS-90-20
    • Saad, Y.1
  • 23
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • Y. SAAD, ILUT: a dual threshold incomplete ILU factorization, Numer. Linear Algebra Appl., 1 (1994), pp. 387-402.
    • (1994) Numer. Linear Algebra Appl. , vol.1 , pp. 387-402
    • Saad, Y.1
  • 24
    • 24144467633 scopus 로고    scopus 로고
    • Iterative methods for sparse linear systems
    • Second ed., Philadelphia
    • Y. SAAD, Iterative Methods for Sparse Linear Systems, Second ed., SIAM, Philadelphia, 2003.
    • (2003) SIAM
    • Saad, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.