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Volumn 349, Issue 1-3, 2002, Pages 17-53

Convergence of scaled iterates by the Jacobi method

Author keywords

Jacobi method; Quadratic convergence; Scaled matrices

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS;

EID: 33644580831     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00594-8     Document Type: Article
Times cited : (7)

References (15)
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  • 3
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    • Drmač, Z.1    Hari, V.2
  • 4
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    • The cyclic Jacobi method for computing the principal values of a complex matrix
    • G. Forsythe, and P. Henrici The cyclic Jacobi method for computing the principal values of a complex matrix Trans. Amer. Math. Soc. 94 1960 1 23
    • (1960) Trans. Amer. Math. Soc. , vol.94 , pp. 1-23
    • Forsythe, G.1    Henrici, P.2
  • 5
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    • On cyclic Jacobi methods
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    • (1963) SIAM J. Appl. Math. , vol.11 , pp. 449-459
    • Hansen, E.R.1
  • 6
    • 0000423291 scopus 로고
    • On sharp quadratic convergence bounds for the serial Jacobi methods
    • V. Hari On sharp quadratic convergence bounds for the serial Jacobi methods Numer. Math. 60 1991 375 406
    • (1991) Numer. Math. , vol.60 , pp. 375-406
    • Hari, V.1
  • 7
    • 0031519511 scopus 로고    scopus 로고
    • On scaled almost diagonal Hermitian matrix pairs
    • V. Hari, and Z. Drmač On scaled almost diagonal Hermitian matrix pairs SIAM J. Matrix Anal. Appl. 18 4 1997 1000 1012
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.4 , pp. 1000-1012
    • Hari, V.1    Drmač, Z.2
  • 8
    • 0041037295 scopus 로고
    • On the quadratic convergence of the special cyclic Jacobi method
    • H.P.M. Van Kempen On the quadratic convergence of the special cyclic Jacobi method Numer. Math. 9 1966 19 22
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    • Van Kempen, H.P.M.1
  • 11
    • 0034551297 scopus 로고    scopus 로고
    • Quadratic convergence of scaled matrices in Jacobi method
    • J. Matejaš Quadratic convergence of scaled matrices in Jacobi method Numer. Math. 87 2000 171 199
    • (2000) Numer. Math. , vol.87 , pp. 171-199
    • Matejaš, J.1
  • 12
    • 21344490125 scopus 로고
    • On the global and cubic convergence of a quasi-cyclic Jacobi method
    • N. Rhee, and V. Hari On the global and cubic convergence of a quasi-cyclic Jacobi method Numer. Math. 66 1993 97 122
    • (1993) Numer. Math. , vol.66 , pp. 97-122
    • Rhee, N.1    Hari, V.2
  • 13
    • 0009079562 scopus 로고
    • A one-sided Jacobi algorithm for computing the singular value decomposition on a vector computer
    • P.P.M. De Rijk A one-sided Jacobi algorithm for computing the singular value decomposition on a vector computer SIAM J. Sci. Statist. Comput. 10 1989 359 371
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  • 14
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    • On the quadratic convergence of the Jacobi method for normal matrices
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  • 15
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    • Note on the quadratic convergence of the cyclic Jacobi process
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    • Wilkinson, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.