메뉴 건너뛰기




Volumn 306, Issue 1-2, 2007, Pages 284-296

A numerical method for quadratic eigenvalue problems of gyroscopic systems

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 34447573690     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.009     Document Type: Article
Times cited : (31)

References (18)
  • 1
    • 2542480153 scopus 로고    scopus 로고
    • Numerical solution of a quadratic eigenvalue problem
    • Guo C.H. Numerical solution of a quadratic eigenvalue problem. Linear Algebra and its Applications 385 (2004) 391-406
    • (2004) Linear Algebra and its Applications , vol.385 , pp. 391-406
    • Guo, C.H.1
  • 2
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • Tisseur F., and Meerbergen K. The quadratic eigenvalue problem. SIAM Review 43 (2001) 235-286
    • (2001) SIAM Review , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 5
    • 0032344706 scopus 로고    scopus 로고
    • A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
    • Benner P., Mehrmann V., and Xu H. A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Numerical Mathematics 78 (1998) 329-358
    • (1998) Numerical Mathematics , vol.78 , pp. 329-358
    • Benner, P.1    Mehrmann, V.2    Xu, H.3
  • 6
    • 0000059741 scopus 로고
    • A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
    • Van Loan C.F. A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Linear Algebra and its Applications 22 (1984) 233-251
    • (1984) Linear Algebra and its Applications , vol.22 , pp. 233-251
    • Van Loan, C.F.1
  • 7
    • 0035679127 scopus 로고    scopus 로고
    • Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils
    • Mehrmann V., and Watkins D. Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils. SIAM Journal of Scientific Computing 22 (2001) 1905-1925
    • (2001) SIAM Journal of Scientific Computing , vol.22 , pp. 1905-1925
    • Mehrmann, V.1    Watkins, D.2
  • 9
    • 33847188501 scopus 로고    scopus 로고
    • Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations
    • Lin W.W., and Xu S.F. Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations. SIAM Matrix Analysis and Application 28 1 (2006) 26-39
    • (2006) SIAM Matrix Analysis and Application , vol.28 , Issue.1 , pp. 26-39
    • Lin, W.W.1    Xu, S.F.2
  • 10
    • 84907172979 scopus 로고    scopus 로고
    • - 1 A) | ≤ 1, National Centre for Theoretical Sciences, National Tsing Hua University, Preprints in Mathematics, 2006.
  • 12
    • 0033443128 scopus 로고    scopus 로고
    • Iterative solution of two matrix equations
    • Guo C.H., and Lancaster P. Iterative solution of two matrix equations. Mathematics of Computation 68 (1999) 1589-1603
    • (1999) Mathematics of Computation , vol.68 , pp. 1589-1603
    • Guo, C.H.1    Lancaster, P.2
  • 13
    • 33947697703 scopus 로고    scopus 로고
    • Updating quadratic models with no spill-over effect on unmeasured spectral data
    • Chu M.T., Lin W.W., and Xu S.F. Updating quadratic models with no spill-over effect on unmeasured spectral data. Inverse Problem 23 1 (2007) 243-256
    • (2007) Inverse Problem , vol.23 , Issue.1 , pp. 243-256
    • Chu, M.T.1    Lin, W.W.2    Xu, S.F.3
  • 14
    • 0000219783 scopus 로고
    • Algorithms for the nonlinear eigenvalue problem
    • Ruhe A. Algorithms for the nonlinear eigenvalue problem. SIAM Numerical Analysis 10 (1973) 674-689
    • (1973) SIAM Numerical Analysis , vol.10 , pp. 674-689
    • Ruhe, A.1
  • 16
    • 84966221080 scopus 로고
    • The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
    • Ericsson T., and Ruhe A. The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Mathematics of Computation 35 152 (1980) 1251-1268
    • (1980) Mathematics of Computation , vol.35 , Issue.152 , pp. 1251-1268
    • Ericsson, T.1    Ruhe, A.2
  • 17
    • 0021479428 scopus 로고
    • Deflated decomposition of solutions of nearly singular systems
    • Chan T.F. Deflated decomposition of solutions of nearly singular systems. SIAM Numerical Analysis 21 (1984) 738-754
    • (1984) SIAM Numerical Analysis , vol.21 , pp. 738-754
    • Chan, T.F.1
  • 18
    • 0000769280 scopus 로고
    • The computation of Kronecker's canonical form of a singular pencil
    • Van Dooren P. The computation of Kronecker's canonical form of a singular pencil. Linear Algebra and its Applications 27 (1979) 103-140
    • (1979) Linear Algebra and its Applications , vol.27 , pp. 103-140
    • Van Dooren, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.