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Volumn 70, Issue 234, 2001, Pages 637-647

An analysis of the Rayleigh-Ritz method for approximating eigenspaces

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EID: 0035531373     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-00-01208-4     Document Type: Article
Times cited : (109)

References (14)
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    • (1985) Linear Algebra and Its Applications , vol.71 , pp. 77-80
    • Elsner, L.1
  • 4
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    • I. C. F. Ipsen, Absolute and relative perturbation bounds for invariant subspaces of matrices, Technical Report TR97-35, Center for Research in Scientific Computation, Mathematics Department, North Carolina State Unversity, 1998.
    • (1998) Absolute and Relative Perturbation Bounds for Invariant Subspaces of Matrices
    • Ipsen, I.C.F.1
  • 6
    • 21844507092 scopus 로고
    • The convergence of generalized lanczos methods for large unsymmetric eigenproblems
    • MR 96d:65062
    • _, The convergence of generalized Lanczos methods for large unsymmetric eigenproblems, SIAM Journal on Matrix Analysis and Applications 16 (1995), 843-862. MR 96d:65062
    • (1995) SIAM Journal on Matrix Analysis and Applications , vol.16 , pp. 843-862
  • 7
    • 0038866149 scopus 로고    scopus 로고
    • Refined iterative algorithm based on Arnoldi's process for large unsymmetric eigenproblems
    • MR 98c:65060
    • _, Refined iterative algorithm based on Arnoldi's process for large unsymmetric eigenproblems, Linear Algebra and Its Applications 259 (1997), 1-23. MR 98c:65060
    • (1997) Linear Algebra and Its Applications , vol.259 , pp. 1-23
  • 8
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    • MR 95f:65059
    • _, Generalized block Lanczos methods for large unsymmetric eigenproblems, Numerische Mathematik 80 (1998), 171-189. MR 95f:65059
    • (1998) Numerische Mathematik , vol.80 , pp. 171-189
  • 9
    • 0042496332 scopus 로고    scopus 로고
    • A refined iterative algorithm based on the block Arnoldi algorithm
    • MR 98m:65055
    • _, A refined iterative algorithm based on the block Arnoldi algorithm, Linear Algebra and Its Applications 270 (1998), 171-189. MR 98m:65055
    • (1998) Linear Algebra and Its Applications , vol.270 , pp. 171-189
  • 10
    • 0039627923 scopus 로고    scopus 로고
    • Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm
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    • _, Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm, Linear Algebra and Its Applications 287 (1999), 191-214. MR 99j:65046
    • (1999) Linear Algebra and Its Applications , vol.287 , pp. 191-214
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