English

A theory of functions of several variables applied to square matrices

Rings and Algebras 2017-12-22 v1 Operator Algebras

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.

Keywords

Cite

@article{arxiv.1712.07998,
  title  = {A theory of functions of several variables applied to square matrices},
  author = {Laurent Veysseire},
  journal= {arXiv preprint arXiv:1712.07998},
  year   = {2017}
}