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Volumn 26, Issue 3, 2005, Pages 1000-1011

Sparse approximate inverses and target matrices

Author keywords

Preconditioning; Sparse approximate inverses; Target matrices

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; LINEAR SYSTEMS; SET THEORY;

EID: 19644386564     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/030601132     Document Type: Article
Times cited : (17)

References (27)
  • 1
    • 0004100224 scopus 로고    scopus 로고
    • [Axe96], Cambridge University Press, Cambridge
    • [Axe96] O. AXELSSON, Iterative Solution Methods, Cambridge University Press, Cambridge, 1996.
    • (1996) Iterative Solution Methods
    • Axelsson, O.1
  • 3
    • 0000131670 scopus 로고
    • Iterative solution of large sparse linear systems arising in certain multidimensional approximation problems
    • [BF82]
    • [BF82] M. W. BENSON AND P. O. FREDERICKSON, Iterative solution of large sparse linear systems arising in certain multidimensional approximation problems, Util. Math., 22 (1982), pp. 127-140.
    • (1982) Util. Math. , vol.22 , pp. 127-140
    • Benson, M.W.1    Frederickson, P.O.2
  • 4
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • [BH82]
    • [BH82] A. N. BROOKS AND T. J. R. HUGHES, Streamline upwind/Petrov- Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 32 (1982), pp. 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 5
    • 0021599857 scopus 로고
    • Parallel algorithms for the solution of certain large sparse linear systems
    • [BKW84]
    • [BKW84] M. BENSON, J. KRETTMANN, AND M. WRIGHT, Parallel algorithms for the solution of certain large sparse linear systems, Internat. J. Comput. Math., 16 (1984), pp. 245-260.
    • (1984) Internat. J. Comput. Math. , vol.16 , pp. 245-260
    • Benson, M.1    Krettmann, J.2    Wright, M.3
  • 6
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • [BMT96]
    • [BMT96] 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
  • 8
    • 0001135947 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for nonsymmetric linear systems
    • [BT98]
    • [BT98] M. BENZI AND M. TŮMA, A sparse approximate inverse preconditioner for nonsymmetric linear systems, SIAM J. Sci. Comput., 19 (1998), pp. 968-994.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 968-994
    • Benzi, M.1    Tůma, M.2
  • 9
    • 0033149240 scopus 로고    scopus 로고
    • A comparative study of sparse approximate inverse preconditioners
    • [BT99]
    • [BT99] M. BENZI AND M. TŮMA, A comparative study of sparse approximate inverse preconditioners, Appl. Numer. Math., 30 (1999), pp. 305-340.
    • (1999) Appl. Numer. Math. , vol.30 , pp. 305-340
    • Benzi, M.1    Tůma, M.2
  • 10
    • 0002457199 scopus 로고
    • Approximate inverse preconditionings for sparse linear systems
    • [CDG92]
    • [CDG92] J. D. F. COSGROVE, J. C. DIAZ, AND A. GRIEWANK, Approximate inverse preconditionings for sparse linear systems, Intern. J. Comput. Math, 44 (1992), pp. 91-110.
    • (1992) Intern. J. Comput. Math , vol.44 , pp. 91-110
    • Cosgrove, J.D.F.1    Diaz, J.C.2    Griewank, A.3
  • 11
    • 0032228601 scopus 로고    scopus 로고
    • On a class of preconditioning methods for dense linear systems from boundary elements
    • [Che98]
    • [Che98] K. CHEN, On a class of preconditioning methods for dense linear systems from boundary elements, SIAM J. Sci. Comput., 20 (1998), pp. 684-698.
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 684-698
    • Chen, K.1
  • 12
    • 0035537395 scopus 로고    scopus 로고
    • An analysis of sparse approximate inverse preconditioners for boundary integral equations
    • [Che01]
    • [Che01] K. CHEN, An analysis of sparse approximate inverse preconditioners for boundary integral equations, SIAM J. Matrix Anal. Appl., 22 (2002), pp. 1058-1078.
    • (2002) SIAM J. Matrix Anal. Appl. , vol.22 , pp. 1058-1078
    • Chen, K.1
  • 13
    • 0001630026 scopus 로고    scopus 로고
    • Approximate inverse preconditioners via sparse-sparse iterations
    • [CS98]
    • [CS98] E. CHOW AND Y. SAAD. Approximate inverse preconditioners via sparse-sparse iterations, SIAM J. Sci. Comput., 19 (1998), pp. 995-1023.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 995-1023
    • Chow, E.1    Saad, Y.2
  • 16
    • 45149136816 scopus 로고
    • On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
    • [FMP90]
    • [FMP90] V. FABER, T. A. MANTEUFFEL, AND S. V. PARTER, On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations, Adv. in Appl. Math., 11 (1990), pp. 109-163.
    • (1990) Adv. in Appl. Math. , vol.11 , pp. 109-163
    • Faber, V.1    Manteuffel, T.A.2    Parter, S.V.3
  • 17
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • [GH97]
    • [GH97] M. J. GROTE AND T. HUCKLE, Parallel preconditioning with sparse approximate inverses, SIAM J. Sci. Comput., 18 (1997), pp. 838-853.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 838-853
    • Grote, M.J.1    Huckle, T.2
  • 18
    • 0042415184 scopus 로고    scopus 로고
    • A block constant approximate inverse for preconditioning large linear systems
    • [GHLC03]
    • [GHLC03] P. GUILLAUME, A. HUARD, AND C. LE CALVEZ, A block constant approximate inverse for preconditioning large linear systems, SIAM J. Matrix Anal. Appl., 24 (2003), pp. 822-851.
    • (2003) SIAM J. Matrix Anal. Appl. , vol.24 , pp. 822-851
    • Guillaume, P.1    Huard, A.2    Li Calvez, C.3
  • 19
    • 0000478318 scopus 로고    scopus 로고
    • Sparse approximate-inverse preconditioners using norm-minimization techniques
    • [GS98]
    • [GS98] N. I. M. GOULD AND J. A. SCOTT. Sparse approximate-inverse preconditioners using norm-minimization techniques, SIAM J. Sci. Comput., 19 (1998), pp. 605-625.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 605-625
    • Gould, N.I.M.1    Scott, J.A.2
  • 21
    • 0000747319 scopus 로고
    • On a family of two-level preconditionings of the incomplete block factorization type
    • [KY86]
    • [KY86] L. Y. KOLOTILINA AND A. Y. YEREMIN, On a family of two-level preconditionings of the incomplete block factorization type, Soviet J. Numer. Anal. Math. Modelling, 1 (1986), pp. 293-320.
    • (1986) Soviet J. Numer. Anal. Math. Modelling , vol.1 , pp. 293-320
    • Kolotilina, L.Y.1    Yeremin, A.Y.2
  • 23
    • 20344394051 scopus 로고    scopus 로고
    • [Mat], MATHEMATICAL AND COMPUTATIONAL SCIENCES DIVISION OF THE INFORMATION TECHNOLOGY LABORATORY OF THE NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY
    • [Mat] MATHEMATICAL AND COMPUTATIONAL SCIENCES DIVISION OF THE INFORMATION TECHNOLOGY LABORATORY OF THE NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, Matrix Market, http://math.nist.gov/MatrixMarket/.
    • Matrix Market
  • 24
    • 0025447701 scopus 로고
    • Preconditioning and boundary conditions
    • [MP90]
    • [MP90] T. A. MANTEUFFEL AND S. V. PARTER, Preconditioning and boundary conditions, SIAM J. Numer. Anal., 27 (1990), pp. 656-694.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 656-694
    • Manteuffel, T.A.1    Parter, S.V.2
  • 25
    • 0033242229 scopus 로고    scopus 로고
    • Toward an effective sparse approximate inverse preconditioner
    • [Tan99]
    • [Tan99] W.-P. TANG, Toward an effective sparse approximate inverse preconditioner, SIAM J. Matrix Anal. Appl., 20 (1999), pp. 970-986.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 970-986
    • Tang, W.-P.1
  • 26
    • 0034144756 scopus 로고    scopus 로고
    • Sparse approximate inverse smoother for multigrid
    • [TW00]
    • [TW00] W.-P. TANG AND W. L. WAN, Sparse approximate inverse smoother for multigrid, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 1236-1252.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 1236-1252
    • Tang, W.-P.1    Wan, W.L.2
  • 27
    • 0041428189 scopus 로고    scopus 로고
    • MSP: A class of parallel multistep successive sparse approximate inverse preconditioning strategies
    • [WZ03]
    • [WZ03] K. WANG AND J. ZHANG, MSP: A class of parallel multistep successive sparse approximate inverse preconditioning strategies, SIAM J. Sci. Comput., 24 (2003), pp. 1141-1156.
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1141-1156
    • Wang, K.1    Zhang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.