Computing primary solutions of equations involving primary matrix functions

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

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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
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: Massimiliano Fasi
Date Deposited: 23 Nov 2018 10:01
Last Modified: 23 Nov 2018 10:01
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2646

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