Canonical form of symplectic matrix pencils

DOI10.1016/S0024-3795(97)00347-9zbMath0902.15006MaRDI QIDQ1386506

Bernard C. Levy, Augusto Ferrante

Publication date: 3 December 1998

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

zbMATH Keywords

eigenvaluescanonical formsymplectic equivalencesymplectic matrix pencils

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items

A reduction technique for discrete generalized algebraic and difference Riccati equations ⋮ Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence ⋮ An efficient algorithm for maximum entropy extension of block-circulant covariance matrices ⋮ Lipschitz properties of structure preserving matrix perturbations ⋮ Canonical forms for Hamiltonian and symplectic matrices and pencils ⋮ The discrete-time generalized algebraic Riccati equation: order reduction and solutions' structure ⋮ Employing the algebraic Riccati equation for a parametrization of the solutions of the finite-horizon LQ problem: the discrete-time case ⋮ Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices ⋮ A note on the structure of expansive matrices in indefinite inner product spaces ⋮ On the geometry of symplectic pencils arising from discrete-time matrix equations

Cites Work

• Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation
• Matrices and indefinite scalar products
• Fast projection methods for minimal design problems in linear system theory
• Characterization of multivariate stationary Gaussian reciprocal diffusions
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Matrix Analysis
• Canonical forms for symplectic and Hamiltonian matrices
• On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
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