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Volumn 28, Issue 3, 2006, Pages 770-787

On a generalized eigenvalue problem for nonsquare pencils

Author keywords

Descriptor systems; Generalized eigenvalue; Nonsquare pencil

Indexed keywords

DESCRIPTOR SYSTEMS; EIGENPAIRS; GENERALIZED EIGENVALUE; NONSQUARE PENCILS;

EID: 34547215232     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/050628258     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 0001124340 scopus 로고
    • Estimating the sensitivity of the algebraic structure of pencils with simple eigenvalue estimates
    • D. BOLEY, Estimating the sensitivity of the algebraic structure of pencils with simple eigenvalue estimates, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 632-643.
    • (1990) SIAM J. Matrix Anal. Appl , vol.11 , pp. 632-643
    • BOLEY, D.1
  • 2
    • 30244526302 scopus 로고
    • A perturbation result for linear control problems
    • D. BOLEY, A perturbation result for linear control problems, SIAM J. Algebraic Discrete Methods, 6 (1985), pp. 66-72.
    • (1985) SIAM J. Algebraic Discrete Methods , vol.6 , pp. 66-72
    • BOLEY, D.1
  • 3
    • 0022689359 scopus 로고
    • Measuring how far a controllable system is from an uncontrollable one
    • D. BOLEY AND L. WU-SHENG, Measuring how far a controllable system is from an uncontrollable one, IEEE Trans. Automat. Control, 31 (1986), pp. 249-251.
    • (1986) IEEE Trans. Automat. Control , vol.31 , pp. 249-251
    • BOLEY, D.1    WU-SHENG, L.2
  • 4
    • 33644604346 scopus 로고    scopus 로고
    • The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach
    • G. BOUTRY, M. ELAD, G. H. GOLUB, AND P. MILANFAR, The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 582-601.
    • (2005) SIAM J. Matrix Anal. Appl , vol.27 , pp. 582-601
    • BOUTRY, G.1    ELAD, M.2    GOLUB, G.H.3    MILANFAR, P.4
  • 6
    • 45949117656 scopus 로고
    • Computing stable eigendecompositions of matrix pencils
    • J. W. DEMMEL AND B. KÅGSTRÖM, Computing stable eigendecompositions of matrix pencils, Linear Algebra Appl., 88/89 (1987), pp. 139-186.
    • (1987) Linear Algebra Appl , vol.88-89 , pp. 139-186
    • DEMMEL, J.W.1    KÅGSTRÖM, B.2
  • 7
    • 0031524936 scopus 로고    scopus 로고
    • A geometric approach to perturbation theory of matrices and matrix pencils. Part I: Versal deformations
    • A. EDELMAN, E. ELMROTH, AND B. KÅGSTRÖ M, A geometric approach to perturbation theory of matrices and matrix pencils. Part I: Versal deformations, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 653-692.
    • (1997) SIAM J. Matrix Anal. Appl , vol.18 , pp. 653-692
    • EDELMAN, A.1    ELMROTH, E.2    KÅGSTRÖ M, B.3
  • 8
    • 0001912408 scopus 로고
    • Between controllable and uncontrollable
    • R. EISING, Between controllable and uncontrollable, Systems Control Lett., 4 (1985), pp. 263-264.
    • (1985) Systems Control Lett , vol.4 , pp. 263-264
    • EISING, R.1
  • 9
    • 3142728626 scopus 로고    scopus 로고
    • Shape from moments-an estimation theory per-spective
    • M. ELAD, P. MILANFAR, AND G. H. GOLUB, Shape from moments-an estimation theory per-spective, IEEE Trans. Signal Process., 52 (2004), pp. 1814-1829.
    • (2004) IEEE Trans. Signal Process , vol.52 , pp. 1814-1829
    • ELAD, M.1    MILANFAR, P.2    GOLUB, G.H.3
  • 10
    • 0442328714 scopus 로고    scopus 로고
    • Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures
    • E. ELMROTH, P. JOHANSSON, AND B. KÅGSTRÖ M, Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures, Numer. Linear Algebra Appl., 8 (2001), pp. 381-399.
    • (2001) Numer. Linear Algebra Appl , vol.8 , pp. 381-399
    • ELMROTH, E.1    JOHANSSON, P.2    KÅGSTRÖ M, B.3
  • 12
    • 0026389522 scopus 로고
    • An algorithm for computing the distance to uncontrollability
    • L. ELSNER AND C HE, An algorithm for computing the distance to uncontrollability, Systems Control Lett., 17 (1991), pp. 453-464.
    • (1991) Systems Control Lett , vol.17 , pp. 453-464
    • ELSNER, L.1    HE, C.2
  • 13
    • 0026897751 scopus 로고
    • Algebraic Riccati equations and the distance to the nearest uncontrollable pair
    • P. GAHINET AND A. J. LAUB, Algebraic Riccati equations and the distance to the nearest uncontrollable pair, SIAM J. Control Optim., 30 (1992), pp. 765-786.
    • (1992) SIAM J. Control Optim , vol.30 , pp. 765-786
    • GAHINET, P.1    LAUB, A.J.2
  • 14
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed, The Johns Hopkins University Press, Baltimore, MD
    • G. H. GOLUB AND C. F. VAN LOAN, Matrix Computation, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computation
    • GOLUB, G.H.1    VAN LOAN, C.F.2
  • 15
    • 0029470080 scopus 로고
    • Estimating the distance to uncontrollability: A fast method and a slow one
    • C HE, Estimating the distance to uncontrollability: A fast method and a slow one, Systems Control Lett., 26 (1995), pp. 275-281.
    • (1995) Systems Control Lett , vol.26 , pp. 275-281
    • HE, C.1
  • 16
    • 21844491242 scopus 로고
    • Perturbation theory for rectangular matrix pencils
    • G. W. STEWART, Perturbation theory for rectangular matrix pencils, Linear Algebra Appl., 208/209 (1994), pp. 297-301.
    • (1994) Linear Algebra Appl , vol.208-209 , pp. 297-301
    • STEWART, G.W.1
  • 18
    • 0025723579 scopus 로고
    • Computing the distance to an uncontrollable system
    • M. WICKS AND R. A. DECARLO, Computing the distance to an uncontrollable system, IEEE Trans. Automat. Control, 36 (1991), pp. 39-49.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 39-49
    • WICKS, M.1    DECARLO, R.A.2
  • 19
    • 0344585477 scopus 로고    scopus 로고
    • Pseudospectra of rectangular matrices
    • T. G. WRIGHT AND L. N. TREFETHEN, Pseudospectra of rectangular matrices, IMA J. Numer. Anal., 22 (2002), pp. 501-519.
    • (2002) IMA J. Numer. Anal , vol.22 , pp. 501-519
    • WRIGHT, T.G.1    TREFETHEN, L.N.2
  • 20
    • 0027640737 scopus 로고
    • Formulae for the distance between controllable and uncontrollable linear systems
    • Y. ZOU AND C. YANG, Formulae for the distance between controllable and uncontrollable linear systems, Systems Control Lett., 21 (1993), pp. 173-180.
    • (1993) Systems Control Lett , vol.21 , pp. 173-180
    • ZOU, Y.1    YANG, C.2
  • 21
    • 34547195556 scopus 로고    scopus 로고
    • Y. ZOU AND C YANG, The distance between controllable and uncontrollable singular systems, Acta Automat. Sinica, 17 (1991), pp. 220-224 (in Chinese).
    • Y. ZOU AND C YANG, The distance between controllable and uncontrollable singular systems, Acta Automat. Sinica, 17 (1991), pp. 220-224 (in Chinese).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.