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Volumn 199, Issue 2, 1997, Pages 253-268

A reduction method for large scale unsymmetric eigenvalue problems in structural dynamics

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS;

EID: 0030680043     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0621     Document Type: Article
Times cited : (22)

References (29)
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  • 8
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    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • C. LANCZOS 1950 Journal of Research of the National Bureau of Standards 45, 255-282. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators.
    • (1950) Journal of Research of the National Bureau of Standards , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 9
    • 0001305381 scopus 로고
    • Practical use of the symmetric lanczos process with reorthogonalization
    • C. C. PAIGE 1970 BIT Numerical Methematics 10, 183-195. Practical use of the symmetric Lanczos process with reorthogonalization.
    • (1970) BIT Numerical Methematics , vol.10 , pp. 183-195
    • Paige, C.C.1
  • 10
    • 84968487118 scopus 로고
    • The Lanczos algorithm with selective reorthogonalization
    • B. N. PARLETT and D. S. SCOTT. 1979 Mathematics of Computing 23, 217-238. The Lanczos algorithm with selective reorthogonalization.
    • (1979) Mathematics of Computing , vol.23 , pp. 217-238
    • Parlett, B.N.1    Scott, D.S.2
  • 13
    • 0024016146 scopus 로고
    • Development of a block Lanczos method for free vibration analysis of spinning structures
    • K. K. GUPTA 1988 International Journal for Numerical Methods in Engineering 26, 1029-1037. Development of a block Lanczos method for free vibration analysis of spinning structures.
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , pp. 1029-1037
    • Gupta, K.K.1
  • 17
    • 0027594911 scopus 로고
    • Lanczos algorithm for quadratic eigenvalue problem in engineering applications
    • C. RAJAKUMAZ 1993 Computer Methods in Applied Mechanics and Engineering 105(1), Lanczos algorithm for quadratic eigenvalue problem in engineering applications.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.105 , Issue.1
    • Rajakumaz, C.1
  • 18
    • 0002807741 scopus 로고
    • The principle of minimized iterations in the solution of matrix eigenvalue problems
    • W. E. ARNOLDI 1951 Quarterly of Applied Mathematics 9, 17-29. The principle of minimized iterations in the solution of matrix eigenvalue problems.
    • (1951) Quarterly of Applied Mathematics , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 19
    • 49149143501 scopus 로고
    • Variations on Arnoldi's method for computing eigenvalues of large unsymmetric matrices
    • Y. SAAD 1980 Linear Algebra and Its Applications 34, 269-295. Variations on Arnoldi's method for computing eigenvalues of large unsymmetric matrices.
    • (1980) Linear Algebra and Its Applications , vol.34 , pp. 269-295
    • Saad, Y.1
  • 20
    • 0000271198 scopus 로고
    • The Lanczos biorthogonalization algorithm and other projection methods for solving large unsymmetric systems
    • Y. SAAD 1982 SIAM Journal of Numerical Analysis 19, 485-506. The Lanczos biorthogonalization algorithm and other projection methods for solving large unsymmetric systems.
    • (1982) SIAM Journal of Numerical Analysis , vol.19 , pp. 485-506
    • Saad, Y.1
  • 24
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    • Baltimore, MD: The Johns Hopkins University Press; second edition
    • G. H. GOLUB and C. F. VAN LOAN 1989 Matrix Computations. Baltimore, MD: The Johns Hopkins University Press; second edition.
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    • Golub, G.H.1    Van Loan, C.F.2
  • 28
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    • Method for large scale non-classically damped eigenvalue problems, part I: A material reduction algorithm; part II, a restart technique
    • G. X. REN 1995 Postdoctoral Research Report, Tsinghua University. Method for large scale non-classically damped eigenvalue problems, Part I: a material reduction algorithm; Part II, a restart technique.
    • (1995) Postdoctoral Research Report, Tsinghua University
    • Ren, G.X.1
  • 29
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    • Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
    • G. W. STEWART 1976 Numerical Mathematics 25, 123-136. Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.