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Volumn 7, Issue 5, 2000, Pages 337-354

On the condition numbers associated with the polar factorization of a matrix

Author keywords

Condition numbers; Frobenius norm; Polar decomposition

Indexed keywords


EID: 0034404853     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1506(200007/08)7:5<337::AID-NLA200>3.0.CO;2-4     Document Type: Article
Times cited : (22)

References (20)
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    • Structured backward error for linear systems of the type A* Ax = b
    • Frayssé V, Gratton S, Toumazou V. Structured backward error for linear systems of the type A* Ax = b. BIT 2000; 40:74-83.
    • (2000) BIT , vol.40 , pp. 74-83
    • Frayssé, V.1    Gratton, S.2    Toumazou, V.3
  • 6
    • 0042224007 scopus 로고    scopus 로고
    • On a structured backward error analysis for linear systems of the type A* Ax = b
    • CERFACS
    • Gratton S, Frayssé V, Toumazou V. On a structured backward error analysis for linear systems of the type A* Ax = b. Technical Report TR/PA/98/01, CERFACS, 1998.
    • (1998) Technical Report TR/PA/98/01
    • Gratton, S.1    Frayssé, V.2    Toumazou, V.3
  • 7
  • 8
    • 0442293617 scopus 로고    scopus 로고
    • Relative perturbation bounds for the polar factor
    • Li RC. Relative perturbation bounds for the polar factor. BIT 1997; 37:67-75.
    • (1997) BIT , vol.37 , pp. 67-75
    • Li, R.C.1
  • 9
    • 0010974717 scopus 로고
    • Perturbation bounds on the polar decomposition
    • Barrlund A. Perturbation bounds on the polar decomposition. BIT 1989; 30:101-113.
    • (1989) BIT , vol.30 , pp. 101-113
    • Barrlund, A.1
  • 12
    • 0010999917 scopus 로고
    • A perturbation bound for the generalised polar decomposition
    • Li RC. A perturbation bound for the generalised polar decomposition. BIT 1993; 33:304-308.
    • (1993) BIT , vol.33 , pp. 304-308
    • Li, R.C.1
  • 14
    • 0348188053 scopus 로고
    • The matrix sign decomposition and its relation to the polar decomposition
    • Higham NJ. The matrix sign decomposition and its relation to the polar decomposition. Linear Algebra and its Applications 1994; 212/213:3-20.
    • (1994) Linear Algebra and Its Applications , vol.212-213 , pp. 3-20
    • Higham, N.J.1
  • 18
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    • Matrix factorizations and their perturbations
    • Bhatia R. Matrix factorizations and their perturbations. Linear Algebra and its Applications 1994; 198:245-276.
    • (1994) Linear Algebra and Its Applications , vol.198 , pp. 245-276
    • Bhatia, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.