Normal forms of ``near similarity transformations and linear matrix equations

DOI10.1016/S0024-3795(00)00112-9zbMath0967.15008MaRDI QIDQ1587889

Alexander Tovbis

Publication date: 28 August 2001

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

zbMATH Keywords

singular perturbationnormal formsfunctional equationsJordan formdifference equationsimilarity transformationsmatrix differential equationlinear matrix equationstriangular formFrobenius formArnold formnear similarity transformations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (2)

On formal solutions of linear matrix differential-difference equations ⋮ Asymptotic expansions and analytic dynamic equations

Cites Work

• Linear turning point theory
• Asymptotics of analytic difference equations
• Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators
• Jordan decomposition for a class of singular differential operators
• Solutions of Finitely Smooth Nonlinear Singular Differential Equations and Problems of Diagonalization and Triangularization
• Global Reduction of Linear Differential Systems Involving a Small Singular Parameter
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