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Volumn 16, Issue 1, 2009, Pages 63-86

Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form

Author keywords

Anti triangular form; Jacobi algorithm; Nonlinear eigenvalue problem; Palindromic matrix polynomial; Palindromic pencil; Palindromic QR algorithm; Schur form; Structured deflation method

Indexed keywords


EID: 58449119980     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.612     Document Type: Article
Times cited : (44)

References (21)
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  • 8
    • 35348939998 scopus 로고    scopus 로고
    • Numerische Lösung von quadratischen Eigenwertproblemen mit Anwendung in der Schienendynamik
    • Hilliges A. Numerische Lösung von quadratischen Eigenwertproblemen mit Anwendung in der Schienendynamik. Diplomarbeit, TU Berlin, Institut für Mathematik, 2004.
    • (2004) Diplomarbeit, TU Berlin, Institut für Mathematik
    • Hilliges, A.1
  • 14
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    • A Schur method for solving algebraic Riccati equations
    • Laub AJ. A Schur method for solving algebraic Riccati equations. IEEE Transactions on Automatic Control 1979; AC-24:913-921.
    • (1979) IEEE Transactions on Automatic Control , vol.AC-24 , pp. 913-921
    • Laub, A.J.1
  • 16
    • 58449115592 scopus 로고    scopus 로고
    • On asymptotic convergence of nonsymmetric Jacobi algorithms
    • Mehl C. On asymptotic convergence of nonsymmetric Jacobi algorithms. SIAM Journal on Matrix Analysis and Applications 2008; 30:291-311.
    • (2008) SIAM Journal on Matrix Analysis and Applications , vol.30 , pp. 291-311
    • Mehl, C.1
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    • Jacobi-like algorithms for the indefinite generalized Hermitian eigenvalue problem
    • Mehl C. Jacobi-like algorithms for the indefinite generalized Hermitian eigenvalue problem. SIAM Journal on Matrix Analysis and Applications 2004; 25:964-985.
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    • The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solution
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    • Mehrmann V. The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solution. Lecture Notes in Control and Information Sciences, vol. 163. Springer: Heidelberg, July 1991.
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    • Zaglmayr S. Eigenvalue problems in SAW-filter simulations. Diplomarbeit, Institute of Computational Mathematics, J. Kepler University, Linz, Austria, 2002.
    • Zaglmayr S. Eigenvalue problems in SAW-filter simulations. Diplomarbeit, Institute of Computational Mathematics, J. Kepler University, Linz, Austria, 2002.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.