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Volumn 17, Issue 3, 1996, Pages 548-562

Interlacing properties of tridiagonal symmetric matrices with applications to parallel computing

Author keywords

Eigenvalues; Parallel algorithms; Symmetric; Tridiagonal

Indexed keywords


EID: 0030485959     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479893252003     Document Type: Article
Times cited : (9)

References (15)
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    • 21844513394 scopus 로고
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    • I. BAR-ON AND B. CODENOTTI, A fast and stable parallel QR algorithm for symmetric tridiagonal matrices, Linear Algebra Appl., 220 (1995), pp. 63-96.
    • (1995) Linear Algebra Appl. , vol.220 , pp. 63-96
    • Bar-On, I.1    Codenotti, B.2
  • 5
    • 0000659575 scopus 로고
    • A divide and conquer method for the symmetric eigenproblem
    • J. CUPPEN, A divide and conquer method for the symmetric eigenproblem, Numer. Math., 36 (1981), pp. 177-195.
    • (1981) Numer. Math. , vol.36 , pp. 177-195
    • Cuppen, J.1
  • 6
    • 0000417182 scopus 로고
    • A fully parallel algorithm for the symmetric eigenvalue problem
    • J. J. DONGARRA AND D. SORENSEN, A fully parallel algorithm for the symmetric eigenvalue problem, SIAM J. Sci. Statist. Comput., 8 (1987), pp. s139-s154.
    • (1987) Siam J. Sci. Statist. Comput. , vol.8
    • Dongarra, J.J.1    Sorensen, D.2
  • 7
    • 0004236492 scopus 로고
    • The Johns Hopkins University Press, Baltimore, MD
    • G. H. GOLUB AND C. F. V. LOAN, Matrix Computations, The Johns Hopkins University Press, Baltimore, MD, 1989.
    • (1989) Matrix Computations
    • Golub, G.H.1    Loan, C.F.V.2
  • 9
    • 0004151494 scopus 로고
    • Cambridge University Press, London, UK
    • R. HORN AND C. JOHNSON, Matrix Analysis, Cambridge University Press, London, UK, 1985.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 10
    • 0004222768 scopus 로고
    • Tech. report CS41, Computer Science Department, Stanford University, Stanford, CA, July
    • W. KAHAN, Accurate Eigenvalues of a Symmetric Tridiagonal Matrix, Tech. report CS41, Computer Science Department, Stanford University, Stanford, CA, July 1966.
    • (1966) Accurate Eigenvalues of a Symmetric Tridiagonal Matrix
    • Kahan, W.1
  • 11
    • 0040436969 scopus 로고
    • Eigenvalues of a symmetric tridiagonal matrix: A divide and conquer approach
    • A. KRISHNAKUMAR AND M. MORF, Eigenvalues of a symmetric tridiagonal matrix: A divide and conquer approach, Numer. Math., 48 (1986), pp. 349-368.
    • (1986) Numer. Math. , vol.48 , pp. 349-368
    • Krishnakumar, A.1    Morf, M.2
  • 13
    • 0002392285 scopus 로고
    • Solution of eigenvalue problems with the LR transformation
    • H. RUTISHAUSER, Solution of eigenvalue problems with the LR transformation, Nat Bur. Standards, AMS, 49 (1958), pp. 47-81.
    • (1958) Nat Bur. Standards, AMS , vol.49 , pp. 47-81
    • Rutishauser, H.1
  • 15
    • 0003660674 scopus 로고
    • Oxford University Press, London, UK, 1965. Reprinted in Oxford Science Publications
    • J. H. WILKINSON, The Algebraic Eigenvalue Problem, Oxford University Press, London, UK, 1965. Reprinted in Oxford Science Publications, 1988.
    • (1988) The Algebraic Eigenvalue Problem
    • Wilkinson, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.