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arXiv · 0804.2869

Analytic Functions of a General Matrix Variable

Charles Schwartz
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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.

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Charles Schwartz. 2008-07-07. Analytic Functions of a General Matrix Variable. https://arxiv.org/abs/0804.2869

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