메뉴 건너뛰기




Volumn 24, Issue 2, 1998, Pages 159-183

An Object-Oriented Framework for Block Preconditioning

Author keywords

Block matrices; D.1.5 Programming Techniques : Object Oriented Programming; G.1.3 Numerical Analysis : Numerical Linear Algebra sparse and very large systems; G.4 Mathematics of Computing : Mathematical Software; Preconditioners

Indexed keywords

COMPUTER SOFTWARE; DATA STRUCTURES; DESIGN; LINEAR ALGEBRA; MATRIX ALGEBRA;

EID: 0032083702     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/290200.287639     Document Type: Article
Times cited : (37)

References (32)
  • 2
    • 0002622213 scopus 로고
    • On some versions of incomplete block-matrix factorization iterative methods
    • AXELSSON, O., BRINKKEMPER, S., AND IL'IN, V. P. 1984. On some versions of incomplete block-matrix factorization iterative methods. Lin. Alg. Appl. 58, 3-15.
    • (1984) Lin. Alg. Appl. , vol.58 , pp. 3-15
    • Axelsson, O.1    Brinkkemper, S.2    Il'in, V.P.3
  • 4
    • 0031097391 scopus 로고    scopus 로고
    • Object-oriented design of preconditioned iterative methods in Diffpack
    • Mar.
    • BRUASET, A. M. AND LANGTANGEN, H. P. 1997. Object-oriented design of preconditioned iterative methods in Diffpack. ACM Trans. Math. Softw. 23, 1 (Mar.), 50-80.
    • (1997) ACM Trans. Math. Softw. , vol.23 , Issue.1 , pp. 50-80
    • Bruaset, A.M.1    Langtangen, H.P.2
  • 5
    • 0039645074 scopus 로고
    • A revised proposal for a sparse BLAS toolkit
    • Army High Performance Computing Research Center, Minneapolis, MN
    • CARNEY, S., HEROUX, M. A., LI, G., AND WU, K. 1994. A revised proposal for a sparse BLAS toolkit. Tech. Rep. 94-034. Army High Performance Computing Research Center, Minneapolis, MN.
    • (1994) Tech. Rep. 94-034.
    • Carney, S.1    Heroux, M.A.2    Li, G.3    Wu, K.4
  • 6
    • 0041580062 scopus 로고    scopus 로고
    • BPKIT block preconditioning toolkit
    • Minnesota Supercomputer Institute, Univ. of Minnesota, Minneapolis, MN
    • CHOW, E. AND HEROUX, M. A. 1996. BPKIT block preconditioning toolkit. Tech. Rep. 96/183. Minnesota Supercomputer Institute, Univ. of Minnesota, Minneapolis, MN.
    • (1996) Tech. Rep. 96/183
    • Chow, E.1    Heroux, M.A.2
  • 7
    • 0031261348 scopus 로고    scopus 로고
    • Approximate inverse techniques for block partitioned matrices
    • CHOW, E. AND SAAD, Y. 1997. Approximate inverse techniques for block partitioned matrices. SIAM J. Sci. Comput. 18, 1657-1675.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1657-1675
    • Chow, E.1    Saad, Y.2
  • 8
    • 0001630026 scopus 로고    scopus 로고
    • Approximate inverse preconditioners via sparse-sparse iterations
    • CHOW, E. AND SAAD, Y. 1998. Approximate inverse preconditioners via sparse-sparse iterations. SIAM J. Sci. Comput. 19, 995-1023.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 995-1023
    • Chow, E.1    Saad, Y.2
  • 10
    • 0001249888 scopus 로고
    • Block preconditioning for the conjugate gradient method
    • CONCUS, P., GOLUB, G. H., AND MEURANT, G. 1985. Block preconditioning for the conjugate gradient method. SIAM J. Sci. Stat. Comput. 6, 309-332.
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 309-332
    • Concus, P.1    Golub, G.H.2    Meurant, G.3
  • 14
  • 17
    • 0002705646 scopus 로고
    • Efficient implementation of a class of preconditioned conjugate gradient methods
    • EISENSTAT, S. C. 1981. Efficient implementation of a class of preconditioned conjugate gradient methods. SIAM J. Sci. Stat. Comput. 2, 1-4.
    • (1981) SIAM J. Sci. Stat. Comput. , vol.2 , pp. 1-4
    • Eisenstat, S.C.1
  • 19
    • 0029360991 scopus 로고
    • Robust linear and nonlinear strategies for solution of the transonic Euler equations
    • JIANG, H. AND FORSYTH, P. A. 1995. Robust linear and nonlinear strategies for solution of the transonic Euler equations. Comput. Fluids 24, 753-770.
    • (1995) Comput. Fluids , vol.24 , pp. 753-770
    • Jiang, H.1    Forsyth, P.A.2
  • 20
    • 0003629968 scopus 로고
    • BlockSolve95 users manual: Scalable library software for the parallel solution of sparse linear systems
    • Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL
    • JONES, M. T. AND PLASSMANN, P. E. 1995. BlockSolve95 users manual: Scalable library software for the parallel solution of sparse linear systems. Tech. Rep. ANL-95/48. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL.
    • (1995) Tech. Rep. ANL-95/48
    • Jones, M.T.1    Plassmann, P.E.2
  • 21
    • 0000747319 scopus 로고
    • On a family of two-level preconditioning of the incomplete block factorization type
    • KOLOTILINA, L. Y. AND YEREMIN, A. YU. 1986. On a family of two-level preconditioning of the incomplete block factorization type. Sov. J. Numer. Anal. Model. 1, 293-320.
    • (1986) Sov. J. Numer. Anal. Model. , vol.1 , pp. 293-320
    • Kolotilina, L.Y.1    Yeremin, A.Yu.2
  • 22
    • 0345890601 scopus 로고
    • Block SSOR preconditionings for high-order 3D FE systems. Incomplete BSSOR preconditionings
    • KOLOTILINA, L. Y., KAPORIN, I. E., AND YEREMIN, A. YU. 1991. Block SSOR preconditionings for high-order 3D FE systems. Incomplete BSSOR preconditionings. Lin. Alg. Appl. 154-156, 647-674.
    • (1991) Lin. Alg. Appl. , vol.154-156 , pp. 647-674
    • Kolotilina, L.Y.1    Kaporin, I.E.2    Yeremin, A.Yu.3
  • 23
    • 0031094878 scopus 로고    scopus 로고
    • Fortran 90: An entry to object-oriented programming for solution of partial differential equations
    • Mar.
    • MACHIELS, L. AND DEVILLE, M. O. 1997. Fortran 90: An entry to object-oriented programming for solution of partial differential equations. ACM Trans. Math. Softw. 23, 1 (Mar.), 32-49.
    • (1997) ACM Trans. Math. Softw. , vol.23 , Issue.1 , pp. 32-49
    • Machiels, L.1    Deville, M.O.2
  • 24
    • 0041391794 scopus 로고    scopus 로고
    • NIST sparse BLAS user's guide
    • National Institute of Standards & Tech., Gaithersburg, MD
    • REMINGTON, K. A. AND POZO, R. 1996. NIST sparse BLAS user's guide. Tech. Rep. National Institute of Standards & Tech., Gaithersburg, MD.
    • (1996) Tech. Rep.
    • Remington, K.A.1    Pozo, R.2
  • 25
    • 0003550735 scopus 로고
    • SPARSKIT: A basic tool for sparse matrix computations
    • RIACS, NASA Ames Research Center, Moffett Field, CA
    • SAAD, Y. 1990. SPARSKIT: A basic tool for sparse matrix computations. Tech. Rep. 90-20. RIACS, NASA Ames Research Center, Moffett Field, CA.
    • (1990) Tech. Rep. 90-20
    • Saad, Y.1
  • 26
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Mar.
    • SAAD, Y. 1993. A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 14, 2 (Mar.), 461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 27
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • SAAD, Y. 1994. ILUT: A dual threshold incomplete ILU factorization. Num. Lin. Alg. Appl. 1, 4, 387-402.
    • (1994) Num. Lin. Alg. Appl. , vol.1 , Issue.4 , pp. 387-402
    • Saad, Y.1
  • 29
    • 0004315890 scopus 로고
    • PETSc 2.0 user' manual
    • Argonne National Laboratory, Argonne, IL
    • SMITH, B., GROPP, W., AND MCINNES, L. C. 1995. PETSc 2.0 user' manual. Tech. Rep. ANL-95/11. Argonne National Laboratory, Argonne, IL.
    • (1995) Tech. Rep. ANL-95/11
    • Smith, B.1    Gropp, W.2    Mcinnes, L.C.3
  • 31
    • 0012163646 scopus 로고
    • An approximate factorization procedure based on the block Cholesky decomposition and its use with the conjugate gradient method
    • Nuclear Energy Division, General Electric, San Jose, CA
    • UNDERWOOD, R. R. 1976. An approximate factorization procedure based on the block Cholesky decomposition and its use with the conjugate gradient method. Tech. Rep. NEDO-11386. Nuclear Energy Division, General Electric, San Jose, CA.
    • (1976) Tech. Rep. NEDO-11386
    • Underwood, R.R.1
  • 32
    • 0347781851 scopus 로고
    • Presentation at Cray Research, Inc. Cray Supercomputers, Chippewa Falls, MN. Available from kewu@kjwu.lbl.gov.
    • WU, K. AND LI, G. 1995. BKAT: An object-oriented block Krylov accelerator toolkit. Presentation at Cray Research, Inc. Cray Supercomputers, Chippewa Falls, MN. Available from kewu@kjwu.lbl.gov.
    • (1995) BKAT: An Object-oriented Block Krylov Accelerator Toolkit
    • Wu, K.1    Li, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.