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On the Fréchet derivative of matrix functions

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Publication:1094510
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DOI10.1016/0024-3795(87)90062-0zbMath0631.15016OpenAlexW1997004171MaRDI QIDQ1094510

Eberhard U. Stickel

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90062-0


zbMATH Keywords

Fréchet derivativematrix functionDunford integral


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60)


Related Items (4)

Maximum and minimum entropy states yielding local continuity bounds ⋮ Improved Newton's method with exact line searches to solve quadratic matrix equation ⋮ Analytic functional calculus for two operators ⋮ Fréchet derivative and analytic functional calculus



Cites Work

  • Unnamed Item
  • Practical computation of matrix functions
  • Inertia characteristics of self-adjoint matrix polynomials
  • The Derivative of a Matric Function
  • Explicit Solutions of Linear Matrix Equations




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