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Volumn 32, Issue 2, 2003, Pages 105-140

Numerical behaviour of Higham's scaled method for polar decomposition

Author keywords

Higham's method; Polar decomposition of matrix; Roundoff error analysis

Indexed keywords


EID: 0345832252     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (13)
  • 2
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    • On the condition numbers associated with the polar factorization of a matrix
    • F. Chaitin-Chatelin and S. Gratton, On the condition numbers associated with the polar factorization of a matrix, Numer. Linear Algebra Appl. 7 (2000) 337-354.
    • (2000) Numer. Linear Algebra Appl. , vol.7 , pp. 337-354
    • Chaitin-Chatelin, F.1    Gratton, S.2
  • 3
    • 0012087153 scopus 로고
    • Stability of methods for matrix inversion
    • J.J. Du Croz and N.J. Higham, Stability of methods for matrix inversion, IMA J. Numer. Anal. 12 (1992) 1-19.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 1-19
    • Du Croz, J.J.1    Higham, N.J.2
  • 4
    • 84968511031 scopus 로고
    • Some metrix inequalities in the space of matrices
    • K. Fan and A.J. Huffman, Some metrix inequalities in the space of matrices, Proc. Amer. Math. Soc. 6 (1955) 111-116.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 111-116
    • Fan, K.1    Huffman, A.J.2
  • 5
    • 0004965031 scopus 로고
    • Algorithms for the polar decomposition
    • W. Gander, Algorithms for the polar decomposition, SIAM J. Sci. Statist. Comput. 11 (1990) 1102-1115.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 1102-1115
    • Gander, W.1
  • 6
    • 0001692403 scopus 로고
    • Computing the polar decomposition with applications
    • N.J. Higham, Computing the polar decomposition with applications, SIAM J. Sci. Statist. Comput. 7 (1986) 1160-1174.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 1160-1174
    • Higham, N.J.1
  • 7
    • 0001075864 scopus 로고
    • The accuracy of solutions to triangular systems
    • N.J. Higham, The accuracy of solutions to triangular systems, SIAM J. Numer. Anal. 26 (1989) 1252-1265.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1252-1265
    • Higham, N.J.1
  • 8
    • 0001537596 scopus 로고
    • Polar decomposition and matrix sign function condition estimates
    • Ch. Kenney and A.J. Laub, Polar decomposition and matrix sign function condition estimates, SIAM J. Sci. Statist. Comput. 12 (1991) 488-504.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 488-504
    • Kenney, Ch.1    Laub, A.J.2
  • 9
    • 0000204992 scopus 로고
    • On scaling Newton's method for polar decomposition and the matrix sign function
    • Ch. Kenney and A.J. Laub, On scaling Newton's method for polar decomposition and the matrix sign function, SIAM J. Matrix Anal. Appl. 13 (1992) 688-706.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 688-706
    • Kenney, Ch.1    Laub, A.J.2
  • 11
    • 21844485894 scopus 로고
    • New perturbation bounds for the unitary polar factor
    • R.-C. Li, New perturbation bounds for the unitary polar factor, SIAM J. Matrix Anal. Appl. 16 (1995) 327-332.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 327-332
    • Li, R.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.