Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials

Garvey, S.D. and Popov, A.A. (2010) Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials. Western Canada Linear Algebra Meeting 2010, Banff, May 2010, 1 (1).

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Abstract

Structure Preserving Transformations in the present definition provide a formal means by which every quadratic system isospectral to a given quadratic system may be determined. This paper presents a parameterisation for these structure preserving transformations which does not require that any of the coefficient matrices is non-singular and which provides a straightforward means to preserve each one of 8 classes of symmetry possible in a quadratic matrix polynomial.

Item Type: Article
Uncontrolled Keywords: Structure Preserving Transformations, QEP, Quadratic Eigenvalue Problems, Symmetry
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User: Prof. Seamus D Garvey
Date Deposited: 29 Jun 2010
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1489

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