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Conservative perturbations of positive definite Hamiltonian matrices

โœ Scribed by P. Amodio; F. Iavernaro; D. Trigiante

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
85 KB
Volume
12
Category
Article
ISSN
1070-5325

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โœฆ Synopsis

Abstract

We 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 the simplest canonical form. Applications related to a pair of problems in the context of linear algebra and differential equations are also reported. Copyright ยฉ 2004 John Wiley & Sons, Ltd.

๐Ÿ“œ SIMILAR VOLUMES

Elliptic equations and products of posit
Elliptic equations and products of positive definite matrices
โœ Charles H. Conley; Patrizia Pucci; James Serrin ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 290 KB

## Abstract We present necessary and sufficient conditions under which the symmetrized product of two __n__ ร—__n__ positive definite Hermitian matrices is still a positive definite matrix (Part I, Sections 2 and 3). These results are then applied to prove the validity of the strong maximum principl