Chain rules for functions of matrices

DOI10.1016/S0024-3795(98)10083-6zbMath0935.15015WikidataQ127594985 ScholiaQ127594985MaRDI QIDQ1124754

Allen D. Ziebur

Publication date: 28 November 1999

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

zbMATH Keywords

chain rulematrix exponentialfunctions of matricesgeneralized eigenspacescharacteristic valuescommutator map

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• The chain rule for functions with a matrix argument
• Invariance and commutativity properties of some classes of solutions of the matrix differential equation \(X(t)X'(t)=X'(t)X(t)\)
• The Derivation of the Exponential Map of Matrices

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