## 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).

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 90 Kb |

## 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 |

Download Statistics: last 4 weeks

Repository Staff Only: edit this item