On the construction of real canonical forms of Hamiltonian matrices whose spectrum is an imaginary pair

DOI10.1016/S0378-4754(98)00073-1zbMath0930.65049MaRDI QIDQ1300455

V. Pereyra

Publication date: 9 February 2000

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

algorithmHamiltonian matrixcanonical formsymplectic matriximaginary eigenvalues

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Canonical forms, reductions, classification (15A21)

Related Items (1)

Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence

Cites Work

• Unnamed Item
• Normal forms and versal deformations of linear Hamiltonian systems
• Conjugacy classes in linear groups
• The normal form of a Hamiltonian system
• Canonical forms for symplectic and Hamiltonian matrices
• Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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