Analytic Functions of a General Matrix Variable
Functional Analysis
2008-07-07 v2 Complex Variables
Abstract
Recent innovations on the differential calculus for functions of non-commuting variables, begun for a quaternionic variable, are now extended to the case of a general matrix over the complex numbers. The expansion of F(X+Delta) is given to first order in Delta for general matrix variables X and Delta that do not commute with each other.
Cite
@article{arxiv.0804.2869,
title = {Analytic Functions of a General Matrix Variable},
author = {Charles Schwartz},
journal= {arXiv preprint arXiv:0804.2869},
year = {2008}
}
Comments
4 pages. Added Appendix A