Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators

DOI10.1016/0024-3795(92)90387-PzbMath0753.15007MaRDI QIDQ1183200

A. I. Tovbis

Publication date: 28 June 1992

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

zbMATH Keywords

similarity transformationsNormal formsArnold normal formfinite branch-pointholomorphic matrix-valued functions

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (3)

On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations ⋮ On the computation of a versal family of matrices ⋮ Normal forms of ``near similarity transformations and linear matrix equations

Cites Work

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• Linear turning point theory
• Inertia characteristics of self-adjoint matrix polynomials
• On pointwise and analytic similarity of matrices
• Similarity of matrices over local rings
• Jordan decomposition for a class of singular differential operators
• A normal form for matrices whose elements are holomorphic functions
• On Continuous Triangularization of Matrix Functions
• On miniversal deformations of matrices
• ON MATRICES DEPENDING ON PARAMETERS
• Simultaneous similarity of matrices

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