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arXiv · 1712.07998

A theory of functions of several variables applied to square matrices

Laurent Veysseire
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Abstract

In this paper, we give one possible definition for functions of several variables applied to endomorphisms of finite dimensional C-vector spaces. This definition is consistent with the usual notion of a function of a square matrix. Some basic rules of computation are given, as well as a formula for differentiation of it. A few examples of possible applications is also given at the end of the article.

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Laurent Veysseire. 2017-12-20. A theory of functions of several variables applied to square matrices. https://arxiv.org/abs/1712.07998

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