On matrices which commute with their derivatives

DOI10.1080/03081088208817471zbMath0486.15009OpenAlexW1979918653MaRDI QIDQ3946280

Irving J. Epstein, Leon Kotin

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03081088208817471

zbMATH Keywords

fundamental solutionfunctional commutativitymatrices that commute with their derivatives

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Linear ordinary differential equations and systems (34A30) Matrices over function rings in one or more variables (15A54)

Related Items (7)

On Functionally Commutative Quantum Systems ⋮ Matrices that commute with their derivative. On a letter from Schur to Wielandt ⋮ On linear ordinary differential equations with functionally commutative coefficient matrices ⋮ Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions ⋮ Invariance and commutativity properties of some classes of solutions of the matrix differential equation \(X(t)X'(t)=X'(t)X(t)\) ⋮ Green's functions of recurrence relations with reflection ⋮ On matrix functions which commute with their derivative

Cites Work

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• Functionally commutative matrices and matrices with constant eigenvectors^†

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