Ela Perturbations of Functions of Diagonalizable Matrices
نویسنده
چکیده
Let f be a scalar function defined on σ(A) ∪ σ(Ã). The aim of this paper is to establish inequalities for the norm of f(A) − f(Ã). The literature on perturbations of matrix valued functions is very rich but mainly, perturbations of matrix functions of a complex argument and matrix functions of Hermitian matrices were considered, cf. [1, 11, 13, 14, 16, 18]. The matrix valued functions of a non-Hermitian argument have been investigated essentially less, although they are very important for various applications; see the book [10].
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