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Volumn 17, Issue 6, 1996, Pages 1347-1368

Quasi-laguerre iteration in solving symmetric tridiagonal eigenvalue problems

Author keywords

Eigenvalue; Quasi Laguerre iteration; Symmetric tridiagonal matrix

Indexed keywords


EID: 0343050486     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594273225     Document Type: Article
Times cited : (10)

References (16)
  • 2
    • 0000659575 scopus 로고
    • A divide and conquer method for the symmetric tridiagonal eigenproblem
    • J. J. M. CUPPEN, A divide and conquer method for the symmetric tridiagonal eigenproblem, Numer. Math., 36 (1981), pp. 177-195.
    • (1981) Numer. Math. , vol.36 , pp. 177-195
    • Cuppen, J.J.M.1
  • 4
    • 0000417182 scopus 로고
    • A fully parallel algorithm for the symmetric eigenvalue problem
    • J. J. DONGARRA AND D. C. SORENSEN, A fully parallel algorithm for the symmetric eigenvalue problem, SIAM J. Sci. Statist. Comput., 8 (1987), pp. 139-154.
    • (1987) SIAM J. Sci. Statist. Comput. , vol.8 , pp. 139-154
    • Dongarra, J.J.1    Sorensen, D.C.2
  • 5
    • 0043268233 scopus 로고
    • preprint, Mathematics and Computer Science Department, San Jose State University, San Jose, CA
    • L. V. FOSTER, Generalizations of Laguerre 's method: Lower order methods, preprint, Mathematics and Computer Science Department, San Jose State University, San Jose, CA, 1982.
    • (1982) Generalizations of Laguerre 's Method: Lower Order Methods
    • Foster, L.V.1
  • 8
    • 21844526695 scopus 로고
    • A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
    • M. GU AND S. C. EISENSTAT, A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem SIAM J. Matrix Anal. Appl., 16 (1995), pp. 172-191.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 172-191
    • Gu, M.1    Eisenstat, S.C.2
  • 9
    • 0039222149 scopus 로고
    • preprint, University of California, Berkeley, CA
    • W. KAHAN, Notes On Laguerre's Iteration, preprint, University of California, Berkeley, CA, 1992.
    • (1992) Notes on Laguerre's Iteration
    • Kahan, W.1
  • 10
    • 0043268206 scopus 로고
    • Laguerre's iteration in solving the symmetric tridiagonal eigenproblem - Revisited
    • T. Y. LI AND Z. ZENG, Laguerre's iteration in solving the symmetric tridiagonal eigenproblem - revisited, SIAM J. Sci. Comput., 15 (1994), pp. 1145-1173.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 1145-1173
    • Li, T.Y.1    Zeng, Z.2
  • 12
    • 0009345450 scopus 로고
    • The use of a refined error bound when updating eigenvalues of tridiagonals
    • B. PARLETT, The use of a refined error bound when updating eigenvalues of tridiagonals, Linear Algebra Appl., 68 (1985), pp. 179-219.
    • (1985) Linear Algebra Appl. , vol.68 , pp. 179-219
    • Parlett, B.1
  • 14
    • 0026402822 scopus 로고
    • On the orthogonality of eigenvectors computed by divide-and-conquer techniques
    • D. C. SORENSEN AND P. T. P. TANG, On the orthogonality of eigenvectors computed by divide-and-conquer techniques, SIAM. J. Numer. Anal., 28 (1991), pp. 1752-1775.
    • (1991) SIAM. J. Numer. Anal. , vol.28 , pp. 1752-1775
    • Sorensen, D.C.1    Tang, P.T.P.2
  • 15
    • 0029360025 scopus 로고
    • A scalable eigenvalue solver for symmetric tridiagonal matrices
    • C. TREFFTZ, C. C. HUANG, P. MCKINLEY, T. Y. LI, AND Z. ZENG, A scalable eigenvalue solver for symmetric tridiagonal matrices, Parallel Comput., 21 (1995), pp. 1213-1240.
    • (1995) Parallel Comput. , vol.21 , pp. 1213-1240
    • Trefftz, C.1    Huang, C.C.2    Mckinley, P.3    Li, T.Y.4    Zeng, Z.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.