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2010.62: Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials

2010.62: S.D. Garvey and A.A. Popov (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 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 93 Systems theory; control
MIMS number:2010.62
Deposited By:Prof. Seamus D Garvey
Deposited On:29 June 2010

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