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Volumn 36, Issue 11, 1996, Pages 1481-1492

The simple lanczos procedure: estimates of the error of the gauss quadrature formula and their applications

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EID: 0008025436     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (16)
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  • 3
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    • Matrices, moments and quadrature. Manuscript SCCM- 93-07, 30 Sept., Stanford University, Stanford, 1993.
    • GOLUB G. H. and MERUANT G., Matrices, moments and quadrature. Manuscript SCCM-93-07, 30 Sept., Stanford University, Stanford, 1993.
    • Golub, G.H.1    Meruant, G.2
  • 5
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    • Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. 113, 7-63, 1989.
    • GREENBAUM A., Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Linear Algebra Applic. 113, 7-63, 1989.
    • Linear Algebra Applic.
    • Greenbaum, A.1
  • 6
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    • Error estimates in a simple Lanczos process for calculating functions of symmetric matrices and eigenvalues. 31, 970-983, 1991.
    • DRUSKIN V. L. and KNIZHNERMAN L. A., Error estimates in a simple Lanczos process for calculating functions of symmetric matrices and eigenvalues. Zh. Vychisl. Mat. Mat. Fiz. 31, 970-983, 1991.
    • Zh. Vychisl. Mat. Mat. Fiz.
    • Druskin, V.L.1    Knizhnerman, L.A.2
  • 8
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    • The Lanczos phenomenon - an interpretation based upon conjugate gradient optimization. 29, 63-90, 1980.
    • CULLUM J. and WILLOUGHBY R. A., The Lanczos phenomenon - an interpretation based upon conjugate gradient optimization. Linear Algebra Applic. 29, 63-90, 1980.
    • Linear Algebra Applic.
    • Cullum, J.1    Willoughby, R.A.2
  • 9
    • 33747321358 scopus 로고    scopus 로고
    • The computation of eigenvalues and eigenvectors of very large sparse matrices. Ph.D. thesis, Univ. of London, 1971.
    • PAIGE C. C., The computation of eigenvalues and eigenvectors of very large sparse matrices. Ph.D. thesis, Univ. of London, 1971.
    • Paige, C.C.1
  • 10
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    • Error analysis of the Lanczos algorithm for tridiagonalizing of a symmetric matrix. 18, 341-349, 1976.
    • PAIGE C. C., Error analysis of the Lanczos algorithm for tridiagonalizing of a symmetric matrix. J. Inst. Math. Applic. 18, 341-349, 1976.
    • J. Inst. Math. Applic.
    • Paige, C.C.1
  • 11
    • 0001288470 scopus 로고    scopus 로고
    • Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem. 34, 235-258, 1980.
    • PAIGE C. C., Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem. Linear Algebra Applic. 34, 235-258, 1980.
    • Linear Algebra Applic.
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  • 12
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    • Two polynomial methods for computing functions of symmetric matrices. 29, 1763-1775, 1989.
    • DRUSKIN V. L. and KNIZHNERMAN L. A., Two polynomial methods for computing functions of symmetric matrices. Zh. Vychisl. Mat. Mat. Fiz. 29, 1763-1775, 1989.
    • Zh. Vychisl. Mat. Mat. Fiz.
    • Druskin, V.L.1    Knizhnerman, L.A.2
  • 13
    • 0028499556 scopus 로고    scopus 로고
    • DRUSKIN V., QUING-HUO LIU and KUCHUK F. J., Spectral Lanczos decomposition method for solving single-phase fluid flow in porous media. 10, 569-580, 1994.
    • KNIZHNERMAN L., DRUSKIN V., QUING-HUO LIU and KUCHUK F. J., Spectral Lanczos decomposition method for solving single-phase fluid flow in porous media. Numerical Methods for Partial Differential Equations No. 10, 569-580, 1994.
    • Numerical Methods for Partial Differential Equations No.
    • Knizhnerman, L.1
  • 14
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    • Well-posedness classes for certain boundary-value problems. Dokl. Akad. Nauk SSSR 114, 1162-1165, 1957.
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  • 15
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    • Evaluation for Krylov subspace approximation to internal eigenvalues of large symmetric matrices and bounded self-adjoint operators with continuous spectrum. Res. Note. Schlumberger-Doll Res. 2 Sept. 1992, Ridgefield.
    • DRUSKIN V. and KNIZHNERMAN L., Evaluation for Krylov subspace approximation to internal eigenvalues of large symmetric matrices and bounded self-adjoint operators with continuous spectrum. Res. Note. Schlumberger-Doll Res. 2 Sept. 1992, Ridgefield.
    • Druskin, V.1    Knizhnerman, L.2
  • 16
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    • The quality of approximations to an isolated eigenvalue and the distribution of "Ritz numbers" in the simple Lanczos procedure. 35, 1459-1475, 1995.
    • KNIZHNERMAN L. A., The quality of approximations to an isolated eigenvalue and the distribution of "Ritz numbers" in the simple Lanczos procedure. Zh. Vychisl. Mat. Mat. Fiz. 35, 1459-1475, 1995.
    • Zh. Vychisl. Mat. Mat. Fiz.
    • Knizhnerman, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.