Systems with constant eigenvectors with applications to exact and numerical solutions of ordinary differential equations

DOI10.1016/0024-3795(74)90065-2zbMath0306.65018OpenAlexW2010454613WikidataQ126422621 ScholiaQ126422621MaRDI QIDQ1217581

Herb I. Freedman, J. Douglas Lawson

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90065-2

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical analysis in abstract spaces (65J99)

Related Items (5)

Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems ⋮ Hermitian function matrices which commute with their derivative ⋮ Analysis of adiabatic approximation using stable Hamiltonian method ⋮ On linear ordinary differential equations with functionally commutative coefficient matrices ⋮ Functionally commutative matrices and matrices with constant eigenvectors^†

Cites Work

• Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• Some Theorems on Commutative Matrices
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