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Volumn 10, Issue 3, 2011, Pages 472-483

A special Newton iteration for computing inverse matrix roots

Author keywords

Convergency; Coupled Newton iteration; Newton's method; Stability

Indexed keywords


EID: 82055185100     PISSN: 16833511     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (15)
  • 2
    • 0000954153 scopus 로고
    • A schur method for the square root of a matrix
    • Björck, A. and Hammarling, S. A Schur method for the square root of a matrix, Linear Algebra Appl., V. 52/53, 1983, pp. 127-140.
    • (1983) Linear Algebra Appl. , vol.52-53 , pp. 127-140
    • Björck, A.1    Hammarling, S.2
  • 5
    • 34547217286 scopus 로고    scopus 로고
    • A schur-newton method for the matrix pth root and its inverse
    • DOI 10.1137/050643374
    • Guo, C. H. and Higham, N. J. A Schur Newton method for the matrix pth root and its inverse, SIAM J. Matrix Anal. Appl., V.28, N.3, 2006, pp. 788-804. (Pubitemid 47109362)
    • (2006) SIAM Journal on Matrix Analysis and Applications , vol.28 , Issue.3 , pp. 788-804
    • Guo, C.-H.1    Higham, N.J.2
  • 6
    • 0001301897 scopus 로고
    • Newton's method for the matrix square root
    • Higham, N. J. Newton's method for the matrix square root, Math. Comp., V.46, 1986, pp. 537-549.
    • (1986) Math. Comp. , vol.46 , pp. 537-549
    • Higham, N.J.1
  • 12
    • 0025752204 scopus 로고
    • On the computation of a matrix inverse square root
    • Sherif, N. On the computation of a matrix inverse square root, Computing, V.46, 1991, pp. 295-305. (Pubitemid 21721066)
    • (1991) Computing (Vienna/New York) , vol.46 , Issue.4 , pp. 295-305
    • Sherif, N.1
  • 13
    • 0142188203 scopus 로고    scopus 로고
    • A Schur algorithm for computing matrix pth roots
    • DOI 10.1137/S0895479801392697, PII S0895479801392697
    • th roots, SIAM J. Matrix Anal. Appl., V.24, N.4, 2003, pp. 971-989. (Pubitemid 37311572)
    • (2003) SIAM Journal on Matrix Analysis and Applications , vol.24 , Issue.4 , pp. 971-989
    • Smith, M.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.