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SR and SZ algorithms for the symplectic (butterfly) eigenproblem

  • Published:1999-01 Issue:1-3 Volume:287 Page:41-76
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Benner Peter,Faβbender Heike,Watkins David S.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference33 articles.

1. Eigenwertverfahren für symplektische Matrizen zur Lösung zeitdiskreter optimaler Steuerungsprobleme;Banse;Z. Angew. Math. Mech.,1995

2. Symplektische Eigenwertverfahren zur Lösung zeitdiskreter optimaler Steuerungsprobleme;Banse,1995

3. Condensed forms for symplectic matrices and symplectic pencils in optimal control;Banse;Z. Angew. Math. Mech.,1996

4. A condensed form for the solution of the symplectic eigenvalue problem;Banse,1994

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1. A collection of efficient retractions for the symplectic Stiefel manifold;Computational and Applied Mathematics;2023-04-27

2. Laurent skew orthogonal polynomials and related symplectic matrices;Journal of Approximation Theory;2020-11

3. A Core-Chasing Symplectic QR Algorithm;SIAM Journal on Matrix Analysis and Applications;2020-01

4. Breaking Van Loan’s Curse: A Quest forStructure-Preserving Algorithms for Dense Structured Eigenvalue Problems;Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory;2015

5. On the numerical solution of large-scale sparse discrete-time Riccati equations;Advances in Computational Mathematics;2011-08-04
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