Derivatives of functions of eigenvalues and eigenvectors for symmetric matrices

DOI10.1016/j.jmaa.2016.06.012zbMath1382.15014OpenAlexW2464434531MaRDI QIDQ530322

Yongzeng Lai, Yong-jia Xu

Publication date: 29 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.012

zbMATH Keywords

eigenvalueeigenvectorinverse eigenvalue problempartial derivative formula

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Continuity and differentiation questions (26B05)

Related Items (3)

Derivatives of symplectic eigenvalues and a Lidskii type theorem ⋮ Matrix derivatives and Kronecker products for the core and generalized core inverses ⋮ Stability of the chemostat system including a linear coupling between species

Cites Work

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• An introduction to a class of matrix cone programming
• Matrix Analysis
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices

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