Analytic Functions of a General Matrix Variable

zbMATH Open1263.26027arXiv0804.2869MaRDI QIDQ4648834

Author name not available (Why is that?)

Publication date: 16 November 2012

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.

Full work available at URL: https://arxiv.org/abs/0804.2869

zbMATH Keywords

noncommutative calculusmatrix variables

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (7)

Title not available (Why is that?) ⋮ Representation of Generalized Analytic Vectors in Matrix Form ⋮ Evaluating non-analytic functions of matrices ⋮ Title not available (Why is that?) ⋮ Matrix analogues of elliptic functions ⋮ Generalized resolvent matrices and spaces of analytic functions ⋮ Existence of a generating pair for simple \(p\)-analytic matrix functions

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