Fasi, Massimiliano and Iannazzo, Bruno
(2018)
*Computing primary solutions of equations involving
primary matrix functions.*
[MIMS Preprint]

Text
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## Abstract

The matrix equation f(X) = A, where f is an analytic function and A is a square matrix, is considered. Some results on the classification of solutions are provided. When f is rational, a numerical algorithm is proposed to compute all solutions that can be written as a polynomial of A. For real data, the algorithm yield the real solutions using only real arithmetic. Numerical experiments show that the algorithm performs in a stable fashion in finite precision arithmetic.

Item Type: | MIMS Preprint |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |

Depositing User: | Mr Massimiliano Fasi |

Date Deposited: | 23 Nov 2018 10:01 |

Last Modified: | 23 Nov 2018 10:01 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2646 |

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