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Volumn 46, Issue 5 ELECTRONIC SUPPL., 2004, Pages

Approximating functions of a large sparse positive definite matrix using a spectral splitting method

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EID: 70649098281     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (7)

References (13)
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    • Z. Battles and L. N. Trefethen, An extension of MATLAB to continuous functions and operators. Oxford University Computing Laboratory, Numerical Analysis Group, Report 03/03, 2003.
    • (2003)
    • Battles, Z.1    Trefethen, L.N.2
  • 5
    • 84985376656 scopus 로고
    • Krylov subspace approximations of eigenpairs and matrix functions in exact and computer arithmetic
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    • (1995) Numerical Linear Algebra with Applications , vol.2 , pp. 205-217
    • Druskin, V.L.1    Knizhnerman, L.A.2
  • 6
    • 0030143587 scopus 로고    scopus 로고
    • Restarted GMRES Preconditioned by Deflation
    • J. Erhel, K. Burrage and B. Pohl. Restarted GMRES Preconditioned by Deflation, J. Comput. Appl. Math, 69, pp.303-318, 1996.
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    • Erhel, J.1    Burrage, K.2    Pohl, B.3
  • 7
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • M. Hochbruck and C. Lubich. On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numerical Analysis, 34, pp.1911-1925, 1997.
    • (1997) SIAM J. Numerical Analysis , vol.34 , pp. 1911-1925
    • Hochbruck, M.1    Lubich, C.2
  • 9
    • 70649090801 scopus 로고    scopus 로고
    • M. Ilić, I. W. Turner and A. N. Pettitt, Bayesian Computations and Efficient Algorithms for Computing Functions of Large, Sparse Matrices, Proceedings of the Biennial Computation Techniques and Applications Conference - CTAC 2003, ANZIAM J. 45 (E) pp.C504-C518, 2004.
    • M. Ilić, I. W. Turner and A. N. Pettitt, Bayesian Computations and Efficient Algorithms for Computing Functions of Large, Sparse Matrices, Proceedings of the Biennial Computation Techniques and Applications Conference - CTAC 2003, ANZIAM J. 45 (E) pp.C504-C518, 2004.
  • 10
    • 70649110499 scopus 로고    scopus 로고
    • A. Ruhe. Lanczos Method (Section 4.4). In Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst, editors, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM, Philadelphia, 2000.
    • A. Ruhe. Lanczos Method (Section 4.4). In Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst, editors, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM, Philadelphia, 2000.
  • 11
    • 1842829625 scopus 로고    scopus 로고
    • Iterative Methods for Sparse Linear Systems, SIAM, 2002
    • Prentice Hall, Englewood Cliffs, New Jersey USA
    • Y. Saad. Iterative Methods for Sparse Linear Systems, SIAM, 2002. Approximation, Prentice Hall, Englewood Cliffs, New Jersey USA, 1996.
    • (1996) Approximation
    • Saad, Y.1
  • 12
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    • Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods
    • A. Stathopoulos, Y. Saad, and K. Wu. Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods, SIAM J. Scientific Computing, (19:1) pp.229-245, 1998.
    • (1998) SIAM J. Scientific Computing , vol.19 , Issue.1 , pp. 229-245
    • Stathopoulos, A.1    Saad, Y.2    Wu, K.3
  • 13
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    • An iterative solution method for solving f(A x=b using Krylov subspace information obtained for the symmetric positive definite matrix A
    • H. A. van der Vorst. An iterative solution method for solving f(A x=b using Krylov subspace information obtained for the symmetric positive definite matrix A, J. Computational and Applied Mathematics, 18, 249-263, 1987.
    • (1987) J. Computational and Applied Mathematics , vol.18 , pp. 249-263
    • van der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.