On the Fréchet derivative of matrix functions
type: Item
instance of: scholarly article
title: On the Fréchet derivative of matrix functions
zbMATH Open document ID: 0631.15016
DOI: 10.1016/0024-3795(87)90062-0
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: By means of a Dunford integral the \(k\times k\)-matrix valued function f(A) with f analytic and A a \(k\times k\)-matrix is well defined. The author presents an integral expression for the Fréchet derivative F(A)[E] of f(A) for the case that A and E do not commute. He also pays attention to practical computations of this Fréchet derivative.
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 47A60
zbMATH DE Number: 4025622
zbMATH Keywords: matrix function
zbMATH Keywords: Dunford integral
zbMATH Keywords: Fréchet derivative
author: Eberhard U. Stickel
reviewed by: J. de Graaf
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90062-0
OpenAlex ID: W1997004171
cites work: Q5185900
cites work: Explicit Solutions of Linear Matrix Equations
cites work: Inertia characteristics of self-adjoint matrix polynomials
cites work: The Derivative of a Matric Function
cites work: Practical computation of matrix functions
description: scientific article; zbMATH DE number 4025622