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Volumn 28, Issue 1-4, 2001, Pages 137-150

Conditioning of the exponential of a block triangular matrix

Author keywords

Conditioning; Diagonal pad ; Exponential of a matrix; Scaling and squaring

Indexed keywords


EID: 0035566363     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014071202885     Document Type: Article
Times cited : (15)

References (13)
  • 1
    • 0034395986 scopus 로고    scopus 로고
    • Padé approximation for the exponential of a block triangular matrix
    • L. Dieci and A. Papini, Padé approximation for the exponential of a block triangular matrix, Linear Algebra Appl. 308 (2000) 183-202.
    • (2000) Linear Algebra Appl. , vol.308 , pp. 183-202
    • Dieci, L.1    Papini, A.2
  • 3
    • 0002648828 scopus 로고
    • Bounds and perturbation bounds for the matrix exponential
    • B. Kagström, Bounds and perturbation bounds for the matrix exponential, BIT 17 (1977) 39-57.
    • (1977) BIT , vol.17 , pp. 39-57
    • Kagström, B.1
  • 4
    • 4243419703 scopus 로고
    • Tech. Rep. UMINF-58.77, Dept. Inf. Processing, Univ. of Umea, Umea, Sweden
    • B. Kagström, Computation of matrix functions, Tech. Rep. UMINF-58.77, Dept. Inf. Processing, Univ. of Umea, Umea, Sweden (1977).
    • (1977) Computation of Matrix Functions
    • Kagström, B.1
  • 5
    • 0000831926 scopus 로고
    • Condition estimates for matrix functions
    • C. Kenney and A.J. Laub, Condition estimates for matrix functions, SIAM J. Matrix Anal. Appl. 10 (1989) 191-209.
    • (1989) SIAM J. Matrix Anal. Appl. , vol.10 , pp. 191-209
    • Kenney, C.1    Laub, A.J.2
  • 6
    • 0002565781 scopus 로고
    • Small-sample statistical condition estimates for general matrix functions
    • C. Kenney and A.J. Laub, Small-sample statistical condition estimates for general matrix functions, SIAM J. Sci. Comput. 15 (1994) 36-61.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 36-61
    • Kenney, C.1    Laub, A.J.2
  • 7
    • 0032371908 scopus 로고    scopus 로고
    • A Schur-Fréchet algorithm for computing the logarithm and exponential of a matrix
    • C. Kenney and A.J. Laub, A Schur-Fréchet algorithm for computing the logarithm and exponential of a matrix, SIAM J. Matrix Anal. Appl. 19 (1998) 640-663.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 640-663
    • Kenney, C.1    Laub, A.J.2
  • 9
    • 0001143041 scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix
    • C.B. Moler and C. Van Loan, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev. 20 (1978) 801-836.
    • (1978) SIAM Rev. , vol.20 , pp. 801-836
    • Moler, C.B.1    Van Loan, C.2
  • 10
    • 0000303960 scopus 로고
    • A theory of condition
    • J. Rice, A theory of condition, SIAM J. Numer. Anal. 3 (1966) 287-310.
    • (1966) SIAM J. Numer. Anal. , vol.3 , pp. 287-310
    • Rice, J.1
  • 11
    • 0000509808 scopus 로고
    • The sensitivity of the matrix exponential
    • C. Van Loan, The sensitivity of the matrix exponential, SIAM J. Numer. Anal. 14 (1977) 971-981.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 971-981
    • Van Loan, C.1
  • 12
    • 0017981685 scopus 로고
    • Computing integrals involving the matrix exponential
    • C. Van Loan, Computing integrals involving the matrix exponential, IEEE. Trans. Aut. Contr. 23 (1978) 395-404.
    • (1978) IEEE. Trans. Aut. Contr. , vol.23 , pp. 395-404
    • Van Loan, C.1
  • 13
    • 0001332750 scopus 로고
    • Numerical computation of the matrix exponential with accuracy estimates
    • R.C. Ward, Numerical computation of the matrix exponential with accuracy estimates, SIAM J. Numer. Anal. 14 (1977) 600-610.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 600-610
    • Ward, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.