메뉴 건너뛰기




Volumn 34, Issue 1, 1994, Pages 165-176

The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices

Author keywords

AMS subject classifications: 65F15; Arnoldi method; double shift; eigenvalue; inverse iteration; Krylov; Lanczos method; matrix pencil; nonsymmetric

Indexed keywords


EID: 0001409002     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01935024     Document Type: Article
Times cited : (108)

References (19)
  • 1
    • 0002807741 scopus 로고
    • The principle of minimized iterations in the solution of the matrix eigenvalue problem
    • (1951) Quart. Appl. Math. , vol.9 , pp. 17-29
    • Arnoldi, W.1
  • 3
    • 84966221080 scopus 로고
    • The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
    • (1980) Math. Comp. , vol.35 , pp. 1251-1268
    • Ericsson, T.1    Ruhe, A.2
  • 4
    • 84936699794 scopus 로고    scopus 로고
    • R. G. Grimes, J. G. Lewis, and H. D. Simon, A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems, tech. report, Appl. Math. Stat. RTS div. Boeing Comp. Serv., M/S 7L-21, Seattle WA 98124, USA, 1991.
  • 6
    • 84936699791 scopus 로고    scopus 로고
    • M. T. Jones and M. L. Patrick, LANZ: Software for solving the large sparse symmetric generalized eigenproblem, Tech. Report MCS-P158-0690, Argonne National Lab, Argonne, IL. Also available from netlib., 1990.
  • 9
    • 84936699792 scopus 로고    scopus 로고
    • B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice Hall, 1980.
  • 10
    • 73349133390 scopus 로고
    • Numerical methods for the solution of large sparse eigenvalue problems
    • V., Barker, Lect Notes Math, 572, Springer, Berlin-Heidelberg-New York
    • (1976) Sparse Matrix Techniques , pp. 130-184
    • Ruhe, A.1
  • 11
    • 0013091802 scopus 로고
    • The two-sided Arnoldi algorithm for nonsymmetric eigenvalue problems
    • B., Kågström, A., Ruhe, Springer-Verlag, Berlin Heidelberg New York
    • (1983) Matrix Pencils, LNM 973 , pp. 104-120
    • Ruhe, A.1
  • 12
    • 0001422598 scopus 로고
    • Rational Krylov sequence methods for eigenvalue computation
    • (1984) Lin. Alg. Appl. , vol.58 , pp. 391-405
    • Ruhe, A.1
  • 13
    • 0038880200 scopus 로고
    • Rational Krylov algorithms for nonsymmetric eigenvalue problems
    • G., Golub, A., Greenbaum, M., Luskin, IMA Volumes in Mathematics and its Applications, 60, Springer-Verlag, New York
    • (1993) Recent Advances in Iterative Methods , pp. 149-164
    • Ruhe, A.1
  • 15
    • 49149143501 scopus 로고
    • Variations of Arnoldi's method for computing eigenelements of large unsymmetric matrices
    • (1980) Lin. Alg. Appl. , vol.34 , pp. 269-295
    • Saad, Y.1
  • 18
    • 84936699779 scopus 로고    scopus 로고
    • G. W. Stewart and J. G. Sun, Matrix Perturbation Theory, Academic Press, 1990.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.