Conservative perturbations of positive definite Hamiltonian matrices
Copyright policy )Conservative perturbations of positive definite Hamiltonian matrices
AbstractWe consider Hamiltonian matrices obtained by means of symmetric and positive definite matrices and analyse some perturbations that maintain the eigenvalues on the imaginary axis of the complex plane. To obtain this result we prove for such matrices the existence of a diagonal form or, alternatively by means of symplectic transformations, the existence of thesimplestcanonical form. Applications related to a pair of problems in the context of linear algebra and differential equations are also reported. Copyright © 2004 John Wiley & Sons, Ltd.
- University of Florence Italy
- University of Bari Aldo Moro Italy
Numerical computation of eigenvalues and eigenvectors of matrices, Positive matrices and their generalizations; cones of matrices, perturbations, Canonical forms, reductions, classification, Hamiltonian matrices, Linear ordinary differential equations and systems, eigenvalues, Hermitian, skew-Hermitian, and related matrices, Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
Numerical computation of eigenvalues and eigenvectors of matrices, Positive matrices and their generalizations; cones of matrices, perturbations, Canonical forms, reductions, classification, Hamiltonian matrices, Linear ordinary differential equations and systems, eigenvalues, Hermitian, skew-Hermitian, and related matrices, Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
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