Analytic Functions of a General Matrix Variable

Details Analytic Functions of a General Matrix Variable Analytic Functions of a General Matrix Variable

2008-04-17

arxiv.org/abs/0804.2869v2

Mathematics

Functional Analysis

4 pages. Added Appendix A

Scientific paper

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.

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