Evaluating the Fréchet derivative of the matrix \(p\)th root

zbMath1285.65025MaRDI QIDQ2447354

João R. Cardoso

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.38.2011/pp202-217.dir/pp202-217.html

zbMATH Keywords

perturbation theoryKronecker productsconditioningFréchet derivativeSylvester equationmatrix \(p\)th root

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (3)

A Taylor expansion of the square root matrix function ⋮ Iterative Computation of the Fréchet Derivative of the Polar Decomposition ⋮ A Unifying Framework for Higher Order Derivatives of Matrix Functions

Uses Software

• Algorithm 432

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