A new proof of Jordan canonical forms of a square matrix

DOI10.1080/03081080701799437zbMath1170.15003OpenAlexW2045725390MaRDI QIDQ3633148

Chin-Yuan Lin, Jen-Yin Han

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1080/03081080701799437

zbMATH Keywords

exponential functionsgeneralized eigenvectorsJordan canonical forms

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Canonical forms, reductions, classification (15A21)

Related Items (2)

POWER SERIES SOLUTIONS OF SINGULAR LINEAR SYSTEMS ⋮ Every infinite triangular matrix is similar to a generalized infinite Jordan matrix

Uses Software

• MATLAB expm

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Convergence of difference approximation of nonlinear evolution equations and generation of semigroups
• On generation of nonlinear operator semigroups and nonlinear evolution operators
• Cauchy problems and applications
• Nonlinear semigroups in Hilbert space
• Nonlinear semigroups and evolution equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• A Schur-Parlett Algorithm for Computing Matrix Functions
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces

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