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Volumn 16, Issue 11-12, 2009, Pages 951-970

A Padé family of iterations for the matrix sector function and the matrix pth root

Author keywords

Approximation; Matrix root; Matrix sector function; Pad ; Rational matrix iteration; Structure preserving iteration

Indexed keywords


EID: 70449120332     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.656     Document Type: Article
Times cited : (24)

References (21)
  • 3
    • 70449133075 scopus 로고    scopus 로고
    • A family of rational iteration and its application to the computation of the matrix pth root
    • Iannazzo B. A family of rational iteration and its application to the computation of the matrix pth root. SIAM Journal on Matrix Analysis and Applications 2008; 30(4):1445-1462.
    • (2008) SIAM Journal on Matrix Analysis and Applications , vol.30 , Issue.4 , pp. 1445-1462
    • Iannazzo, B.1
  • 9
    • 0024738860 scopus 로고
    • Padé error estimates for the logarithm of a matrix
    • Kenney C, Laub AJ. Padé error estimates for the logarithm of a matrix. International Journal of Control 1989; 50(3):707-730.
    • (1989) International Journal of Control , vol.50 , Issue.3 , pp. 707-730
    • Kenney, C.1    Laub, A.J.2
  • 12
    • 0035537398 scopus 로고    scopus 로고
    • Evaluating Padé approximants of the matrix logarithm
    • Higham NJ. Evaluating Padé approximants of the matrix logarithm. SIAM Journal on Matrix Analysis and Applications 2001; 22(4):1126-1135.
    • (2001) SIAM Journal on Matrix Analysis and Applications , vol.22 , Issue.4 , pp. 1126-1135
    • Higham, N.J.1
  • 15
    • 0036720514 scopus 로고    scopus 로고
    • McMullen's root-finding algorithm for cubic polynomials
    • Hawkins JM. McMullen's root-finding algorithm for cubic polynomials. Proceedings of the American Mathematical Society 2002; 130(9):2583-2592.
    • (2002) Proceedings of the American Mathematical Society , vol.130 , Issue.9 , pp. 2583-2592
    • Hawkins, J.M.1
  • 16
    • 0000807965 scopus 로고
    • Families of the rational maps and iterative root-finding algorithms. Annals of Mathematics
    • McMullen C. Families of the rational maps and iterative root-finding algorithms. Annals of Mathematics. Second Series 1987; 125(3):467-493.
    • (1987) Second Series , vol.125 , Issue.3 , pp. 467-493
    • McMullen, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.