메뉴 건너뛰기




Volumn 30, Issue 4, 2008, Pages 1566-1592

Structure-preserving algorithms for palindromic quadratic eigenvalue problems arising from vibration of fast trains

Author keywords

Tau; skew Hamiltonian Pencil; Tau; symplectic pencil; Palindromic quadratic eigenvalue problem

Indexed keywords

ARNOLDI ALGORITHM; FINITE ELEMENT MODELS; HIGH SPEED TRAINS; NUMERICAL EXPERIMENTS; PALINDROMIC; PALINDROMIC QUADRATIC EIGENVALUE PROBLEM; QUADRATIC EIGENVALUE PROBLEMS; SHIFT-AND; SKEW-HAMILTONIAN; STRUCTURE-PRESERVING ALGORITHM;

EID: 70449371465     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/080713550     Document Type: Article
Times cited : (36)

References (25)
  • 1
    • 45249084990 scopus 로고    scopus 로고
    • Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
    • E. K.-W. Chu, T.-M. Hwang, W.-W. Lin, and C.-T. Wu, Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms, J. Comput. Appl. Math., 219 (2008), pp. 237-252.
    • (2008) J. Comput. Appl. Math. , vol.219 , pp. 237-252
    • Chu, E.K.-W.1    Hwang, T.-M.2    Lin, W.-W.3    Wu, C.-T.4
  • 2
    • 0028447254 scopus 로고
    • Numerical solution of the discrete-time periodic Riccati equation
    • J. J. Hench and A. J. Laub, Numerical solution of the discrete-time periodic Riccati equation, IEEE Trans. Automat. Control, 39 (1994), pp. 1197-1210.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 1197-1210
    • Hench, J.J.1    Laub, A.J.2
  • 5
    • 31544482216 scopus 로고    scopus 로고
    • Accurate eigenvalues for fast trains
    • SIAM, Philadelphia
    • I. C. F. Ipsen, Accurate eigenvalues for fast trains, SIAM News, 37, SIAM, Philadelphia, 2004.
    • (2004) SIAM News , vol.37
    • Ipsen, I.C.F.1
  • 6
    • 34447544986 scopus 로고    scopus 로고
    • Numerical methods for general and structured eigenvalue problems
    • Springer, Berlin
    • D. Kressner, Numerical methods for general and structured eigenvalue problems, Lect. Notes Comput. Sci. Eng. 46, Springer, Berlin, 2005.
    • (2005) Lect. Notes Comput. Sci. Eng. , vol.46
    • Kressner, D.1
  • 7
    • 0030502142 scopus 로고    scopus 로고
    • Deflation techniques for an implicitly restarted Arnoldi iteration
    • R. B. Lehoucq and D. C. Sorensen, Deflation techniques for an implicitly restarted Arnoldi iteration, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 789-821.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 789-821
    • Lehoucq, R.B.1    Sorensen, D.C.2
  • 8
    • 0003234339 scopus 로고    scopus 로고
    • ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods
    • Philadelphia
    • R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, SIAM, Philadelphia, 1998.
    • (1998) SIAM
    • Lehoucq, R.B.1    Sorensen, D.C.2    Yang, C.3
  • 9
    • 0000603860 scopus 로고
    • A new method for computing the closed-loop eigenvalues of a discrete-time algebraic Riccati equation
    • W.-W. Lin, A new method for computing the closed-loop eigenvalues of a discrete-time algebraic Riccati equation, Linear Algebra Appl., 96 (1987), pp. 157-180.
    • (1987) Linear Algebra Appl. , vol.96 , pp. 157-180
    • Lin, W.-W.1
  • 10
    • 33847188501 scopus 로고    scopus 로고
    • Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations
    • W.-W. Lin and S.-F. Xu, Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations, SIAM J. Matrix Anal. Appl., 28 (2006), pp. 26-39.
    • (2006) SIAM J. Matrix Anal. Appl. , vol.28 , pp. 26-39
    • Lin, W.-W.1    Xu, S.-F.2
  • 11
    • 58449119980 scopus 로고    scopus 로고
    • Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form
    • to appear
    • D. S. Mackey, N. Mackey, C. Mehl, and V. Mehrmann, Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form, Numer. Linear Algebra Appl., to appear.
    • Numer. Linear Algebra Appl.
    • MacKey, D.S.1    MacKey, N.2    Mehl, C.3    Mehrmann, V.4
  • 12
    • 33947378022 scopus 로고    scopus 로고
    • Structured polynomial eigenvalue problems: Good vibrations from good linearizations
    • D. S. Mackey, N. Mackey, C. Mehl, and V. Mehrmann, Structured polynomial eigenvalue problems: Good vibrations from good linearizations, SIAM J. Matrix Anal. Appl., 28 (2006), pp. 1029-1051.
    • (2006) SIAM J. Matrix Anal. Appl. , vol.28 , pp. 1029-1051
    • MacKey, D.S.1    MacKey, N.2    Mehl, C.3    Mehrmann, V.4
  • 15
    • 0035679127 scopus 로고    scopus 로고
    • Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils
    • V. Mehrmann and D. Watkins, Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils, SIAM J. Sci. Comput., 22 (2001), pp. 1905-1925.
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 1905-1925
    • Mehrmann, V.1    Watkins, D.2
  • 16
    • 21144481132 scopus 로고
    • On computing the eigenvalues of a symplectic pencil
    • R. V. Patel, On computing the eigenvalues of a symplectic pencil, Linear Algebra Appl., 188 (1993), pp. 591-611.
    • (1993) Linear Algebra Appl. , vol.188 , pp. 591-611
    • Patel, R.V.1
  • 21
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • D. C. Sorensen, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 357-385.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 357-385
    • Sorensen, D.C.1
  • 22
    • 70449397497 scopus 로고    scopus 로고
    • Matrix algorithms volume II: Eigensystems
    • Philadelphia
    • G. W. Stewart, Matrix Algorithms, Volume II: Eigensystems, SIAM, Philadelphia, 2001.
    • (2001) SIAM
    • Stewart, G.W.1
  • 23
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • F. Tisseur and K. Meerbergen, The quadratic eigenvalue problem, SIAM Rev., 43 (2001), pp. 235-286.
    • (2001) SIAM Rev. , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 24
    • 70449338317 scopus 로고    scopus 로고
    • The matrix eigenvalue problem: GR and krylov subspace methods
    • Philadelphia
    • D. S. Watkins, The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods, SIAM, Philadelphia, 2007.
    • (2007) SIAM
    • Watkins, D.S.1
  • 25
    • 0035405545 scopus 로고    scopus 로고
    • Three-dimensional analysis of train-rail-bridge interaction problems
    • Y. S. Wu, Y. B. Yang, and J. D. Yau, Three-dimensional analysis of train-rail-bridge interaction problems, Vehicle Syst. Dyn., 35 (2001), pp. 1-35.
    • (2001) Vehicle Syst. Dyn. , vol.35 , pp. 1-35
    • Wu, Y.S.1    Yang, Y.B.2    Yau, J.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.