Canonical forms for Hamiltonian and symplectic matrices and pencils

DOI10.1016/S0024-3795(99)00191-3zbMath0947.15004OpenAlexW2072305544WikidataQ127570305 ScholiaQ127570305MaRDI QIDQ1970456

Hong-guo Xu, Volker Mehrmann, Wen-Wei Lin

Publication date: 25 July 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(99)00191-3

zbMATH Keywords

Jordan canonical formHamiltonian matricessymplectic matricesmatrix pencilsKronecker canonical formSchur canonical form

Mathematics Subject Classification ID

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Cites Work

• Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation
• Pencils of complex and real symmetric and skew matrices
• A Schur decomposition for Hamiltonian matrices
• Matrices and indefinite scalar products
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• Solution of the large matrix equations which occur in response theory
• The Riccati equation
• The autonomous linear quadratic control problem. Theory and numerical solution
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• A new method for computing the stable invariant subspace of a real Hamiltonian matrix
• Canonical form of symplectic matrix pencils
• Matrix factorizations for symplectic QR-like methods
• A step toward a unified treatment of continuous and discrete time control problems
• The Algebraic Riccati Equation without Complete Controllability
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Canonical forms for symplectic and Hamiltonian matrices
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