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 |
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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: | https://eprints.maths.manchester.ac.uk/id/eprint/1489 |

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