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Frechet derivatives of the power function

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Publication:2710413
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DOI10.1512/iumj.2000.49.1761zbMath0988.47011OpenAlexW2001912348MaRDI QIDQ2710413

Rajendra Bhatia, John A. R. Holbrook

Publication date: 10 July 2002

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1761


zbMATH Keywords

perturbationboundsFréchet derivativepositive definite matrixpower functions


Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Perturbation theory of linear operators (47A55) Derivatives of functions in infinite-dimensional spaces (46G05)


Related Items (9)

Inertia of Kraus matrices ⋮ Optimal rates for regularization of statistical inverse learning problems ⋮ The mathematics of Chandler Davis ⋮ Operator differentiable functions ⋮ Variation of induced linear operators ⋮ Loewner matrices and operator convexity ⋮ Rajendra Bhatia and his mathematical achievements ⋮ On a question of Bhatia, Friedland and Jain ⋮ Inertia of the matrix \([(p_i+p_j)^r\)]




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