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Volumn 41, Issue 7-8, 2001, Pages 813-820

Residuals of refined projection methods for large matrix eigenproblems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR STATISTICS; ITERATIVE METHODS; MATRIX ALGEBRA; POLYNOMIALS; VECTORS;

EID: 0035313102     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00321-7     Document Type: Article
Times cited : (8)

References (19)
  • 3
    • 0002807741 scopus 로고
    • The principle of minimized iterations in the solution of the matrix eigenvalue problem
    • Arnoldi W.E. The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quart. Appl. Math. 9:1951;17-29.
    • (1951) Quart. Appl. Math , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 4
    • 0032339596 scopus 로고    scopus 로고
    • Generalized block Lanczos methods for large unsymmetric eigenproblems
    • Jia Z. Generalized block Lanczos methods for large unsymmetric eigenproblems. Numer. Math. 80:1998;239-266.
    • (1998) Numer. Math , vol.80 , pp. 239-266
    • Jia, Z.1
  • 5
    • 0032361805 scopus 로고    scopus 로고
    • Harmonic projection methods for large nonsymmetric eigenvalue problems
    • Morgan R.B., Zeng M. Harmonic projection methods for large nonsymmetric eigenvalue problems. Numer. Linear Algebra Appl. 5:1998;33-55.
    • (1998) Numer. Linear Algebra Appl. , vol.5 , pp. 33-55
    • Morgan, R.B.1    Zeng, M.2
  • 6
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson iteration methods for linear eigenvalue problems
    • Sleijpen G.L.G., Van der Vorst H.A. A Jacobi-Davidson iteration methods for linear eigenvalue problems. SIAM J. Matrix Anal. Appl. 17:1996;401-425.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 401-425
    • Sleijpen, G.L.G.1    Van Der Vorst, H.A.2
  • 7
    • 0004122876 scopus 로고
    • Some numerical methods for large unsymmetric eigenproblems
    • University of Bielefeld
    • Jia Z. Some numerical methods for large unsymmetric eigenproblems. Ph.D. Thesis. February 1994;University of Bielefeld.
    • (1994) Ph.D. Thesis
    • Jia, Z.1
  • 8
    • 21844507092 scopus 로고
    • The convergence of generalized Lanczos methods for large unsymmetric eigenproblems
    • Jia Z. The convergence of generalized Lanczos methods for large unsymmetric eigenproblems. SIAM J. Matrix Anal. Appl. 16:1995;843-862.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 843-862
    • Jia, Z.1
  • 9
    • 0001472199 scopus 로고    scopus 로고
    • Composite orthogonal projection methods for large matrix eigenproblems
    • Jia Z. Composite orthogonal projection methods for large matrix eigenproblems. Science in China (Series A). 42:1999;577-585.
    • (1999) Science in China (Series A) , vol.42 , pp. 577-585
    • Jia, Z.1
  • 10
    • 85031527683 scopus 로고    scopus 로고
    • An analysis of the Rayleigh-Ritz method for approximating eigenspaces
    • (to appear)
    • Z. Jia and G.W. Stewart, An analysis of the Rayleigh-Ritz method for approximating eigenspaces, Math. Comput. (to appear).
    • Math. Comput.
    • Jia, Z.1    Stewart, G.W.2
  • 11
    • 0038866149 scopus 로고    scopus 로고
    • Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems
    • Jia Z. Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems. Linear Algebra Appl. 259:1997;1-23.
    • (1997) Linear Algebra Appl. , vol.259 , pp. 1-23
    • Jia, Z.1
  • 12
    • 0042496332 scopus 로고    scopus 로고
    • A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems
    • Jia Z. A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems. Linear Algebra Appl. 270:1998;171-189.
    • (1998) Linear Algebra Appl. , vol.270 , pp. 171-189
    • Jia, Z.1
  • 13
    • 0033888047 scopus 로고    scopus 로고
    • A refined subspace iteration algorithm for large sparse eigenproblems
    • Jia Z. A refined subspace iteration algorithm for large sparse eigenproblems. Appl. Numer. Appl. 32:2000;35-52.
    • (2000) Appl. Numer. Appl. , vol.32 , pp. 35-52
    • Jia, Z.1
  • 15
    • 0342751827 scopus 로고    scopus 로고
    • Some refined algorithms for large unsymmetric eigenproblems
    • Dalian University of Technology. Department of Applied Mathematics
    • Chen G. Some refined algorithms for large unsymmetric eigenproblems. Ph.D. Thesis. July 2000;Dalian University of Technology. Department of Applied Mathematics.
    • (2000) Ph.D. Thesis
    • Chen, G.1
  • 16
    • 0039627923 scopus 로고    scopus 로고
    • Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm
    • Jia Z. Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm. Linear Algebra Appl. 287:1999;191-214.
    • (1999) Linear Algebra Appl. , vol.287 , pp. 191-214
    • Jia, Z.1
  • 18
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • Sorensen D. Implicit application of polynomial filters in a k-step Arnoldi method. SIAM J. Matrix Anal. Appl. 12:1992;357-385.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 357-385
    • Sorensen, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.