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Volumn 330, Issue 1-3, 2001, Pages 31-42

Theoretical and numerical considerations about Padé approximants for the matrix logarithm

Author keywords

Condition number; Matrix logarithms; P orthogonal groups; Pad approximants

Indexed keywords


EID: 0035877261     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00251-8     Document Type: Article
Times cited : (19)

References (15)
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  • 3
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    • On the existence and uniqueness of the real logarithm of a matrix
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    • (1966) Proc. Amer. Math. Soc. , vol.17 , pp. 1146-1151
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  • 4
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    • Crouch P., Kun G., Silva Leite F. The De Casteljau algorithm on Lie groups and spheres. J. Dyn. Control Syst. 5(3):1999;397-429.
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    • Crouch, P.1    Kun, G.2    Silva Leite, F.3
  • 6
    • 0030487626 scopus 로고    scopus 로고
    • Considerations on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms
    • Dieci L. Considerations on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms. Linear Algebra Appl. 244:1996;35-54.
    • (1996) Linear Algebra Appl. , vol.244 , pp. 35-54
    • Dieci, L.1
  • 7
    • 0042137187 scopus 로고    scopus 로고
    • Real Hamiltonian logarithm of a symplectic matrix
    • Dieci L. Real Hamiltonian logarithm of a symplectic matrix. Linear Algebra Appl. 281:1998;227-246.
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    • Dieci, L.1
  • 8
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    • Computational techniques for real logarithms of matrices
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    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.3 , pp. 570-593
    • Dieci, L.1    Morini, B.2    Papini, A.3
  • 9
    • 0034342230 scopus 로고    scopus 로고
    • Conditioning and Padé approximation of the logarithm of a matrix
    • Dieci L., Papini A. Conditioning and Padé approximation of the logarithm of a matrix. SIAM J. Matrix Anal. Appl. 31(3):2000;913-930.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.31 , Issue.3 , pp. 913-930
    • Dieci, L.1    Papini, A.2
  • 11
    • 0007348564 scopus 로고    scopus 로고
    • A new sqrtm for Matlab
    • University of Manchester
    • N.J. Higham, A new sqrtm for Matlab, Numerical Analysis Report, vol. 336, University of Manchester, 1999.
    • (1999) Numerical Analysis Report , vol.336
    • Higham, N.J.1
  • 13
    • 0024738860 scopus 로고
    • Padé error estimates for the logarithm of a matrix
    • Kenney C., Laub A.J. Padé error estimates for the logarithm of a matrix. Int. J. Control. 50(3):1989;707-730.
    • (1989) Int. J. Control , vol.50 , Issue.3 , pp. 707-730
    • Kenney, C.1    Laub, A.J.2
  • 14
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    • Condition estimates for matrix functions
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    • (1989) SIAM J. Matrix Anal. Appl. , vol.10 , pp. 191-209
    • Kenney, C.1    Laub, A.J.2
  • 15
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    • A Schur-Frechet algorithm for computing the logarithm and exponential of a matrix
    • Kenney C., Laub A.J. A Schur-Frechet algorithm for computing the logarithm and exponential of a matrix. SIAM J. Matrix Anal. Appl. 19(3):1998;640-663.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.3 , pp. 640-663
    • Kenney, C.1    Laub, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.