Higham, D.J. and Higham, N.J.
(1998)
*Structured backward error and condition of generalized eigenvalue problems.*
SIAM Journal on Matrix Analysis and Applications, 20 (2).
pp. 493-512.
ISSN 0895-4798

Official URL: http://dx.doi.org/10.1137/S0895479896313188

## Abstract

Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of generalized eigenvalue problems. Both normwise and componentwise measures are used. Unstructured problems are considered first, and then the basic definitions are extended so that linear structure in the coefficient matrices (for example, Hermitian, Toeplitz, Hamiltonian, or band structure) is preserved by the perturbations.

Item type: | Article |
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ID code: | 184 |

Keywords: | generalized eigenvalue problem, quadratic eigenvalue problem, backward error, condition number, structured matrices, computer science, mathematics, Electronic computers. Computer science, Mathematics, Analysis |

Subjects: | Science > Mathematics > Electronic computers. Computer science Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Ms Sarah Scott |

Date Deposited: | 02 Mar 2006 |

Last modified: | 04 Sep 2014 09:01 |

URI: | http://strathprints.strath.ac.uk/id/eprint/184 |

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