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Volumn 51, Issue 3, 2009, Pages 309-318

Estimates of the trace of the inverse of a symmetric matrix using the modified Chebyshev algorithm

(1)  Meurant, Gérard a  

a NONE   (France)

Author keywords

Chebyshev algorithm; Inverse; Trace

Indexed keywords


EID: 67349156760     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9246-z     Document Type: Article
Times cited : (26)

References (11)
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    • Bai, Z.1    Fahey, M.2    Golub, G.H.3
  • 2
    • 10044291136 scopus 로고    scopus 로고
    • Computing partial eigenvalue sum in electronic structure calculation
    • Stanford University
    • Bai, Z., Fahey, M., Golub, G.H., Menon, M., Richter, E.: Computing partial eigenvalue sum in electronic structure calculation. Report SCCM 98-03, Stanford University (1998)
    • (1998) Report SCCM 98-03
    • Bai, Z.1    Fahey, M.2    Golub, G.H.3    Menon, M.4    Richter, E.5
  • 3
    • 0009924116 scopus 로고    scopus 로고
    • Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices
    • Z. Bai G.H. Golub 1997 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices Ann. Numer. Math. 4 29 38
    • (1997) Ann. Numer. Math. , vol.4 , pp. 29-38
    • Bai, Z.1    Golub, G.H.2
  • 8
    • 0000223746 scopus 로고
    • Calculation of Gauss quadrature rules
    • G.H. Golub J.H. Welsch 1969 Calculation of Gauss quadrature rules Math. Comp. 23 221 230
    • (1969) Math. Comp. , vol.23 , pp. 221-230
    • Golub, G.H.1    Welsch, J.H.2
  • 9
    • 0000462797 scopus 로고
    • A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines
    • M. Hutchinson 1989 A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines Commun. Stat. Simul. 18 1059 1076
    • (1989) Commun. Stat. Simul. , vol.18 , pp. 1059-1076
    • Hutchinson, M.1
  • 10
    • 0000705414 scopus 로고
    • An algorithm for Gaussian quadrature given modified moments
    • R.A. Sack A. Donovan 1972 An algorithm for Gaussian quadrature given modified moments Numer. Math. 18 5 465 478
    • (1972) Numer. Math. , vol.18 , Issue.5 , pp. 465-478
    • Sack, R.A.1    Donovan, A.2
  • 11
    • 0000955005 scopus 로고
    • Modified moments and Gaussian quadrature. In: Proceedings of the international conference on Padé approximants, continued fractions and related topics, Univ. Colorado, Boulder. Rocky Mt.
    • J.C. Wheeler 1974 Modified moments and Gaussian quadrature. In: Proceedings of the international conference on Padé approximants, continued fractions and related topics, Univ. Colorado, Boulder. Rocky Mt. J. Math. 4 2 287 296
    • (1974) J. Math. , vol.4 , Issue.2 , pp. 287-296
    • Wheeler, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.