Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity

DOI10.1016/j.laa.2016.05.020zbMath1346.15011OpenAlexW2406580315MaRDI QIDQ739096

Yunge Xu, Yuan Chen, Wenhao Fu, Huan-Huan Li

Publication date: 17 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.020

zbMATH Keywords

canonical formnumber of parametersBelitskii's algorithmupper triangular nilpotent matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Canonical forms, reductions, classification (15A21)

Related Items (3)

Conjugacy classes of centralizers in the group of upper triangular matrices ⋮ On triangular similarity of nilpotent triangular matrices ⋮ Operators on positive semidefinite inner product spaces

Cites Work

• Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
• Orbits of nilpotent matrices
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• A problem on conjugacy of matrices
• Upper triangular similarity of upper triangular matrices
• Canonical matrices for linear matrix problems
• Indecomposability and the number of links.
• \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices
• Belitskiĭ's canonical form for \(5\times 5\) upper triangular matrices under upper triangular similarity
• Enumerating p -Groups. I: Inequalities
• Conjugacy classes in sylow p-subgroups of GL(n, q), IV
• Enumerating p -Groups, II: Problems Whose Solution is PORC

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