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

Yuan Chen; Yunge Xu; Huanhuan Li; Wenhao Fu

doi:10.1016/j.laa.2016.05.020

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

Yuan Chen, Yunge Xu, Huanhuan Li, Wenhao Fu

Western Sydney University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

All indecomposable canonical forms are determined for upper triangular nilpotent matrices of size less than or equal to 7 under upper triangular similarity via Belitskii's algorithm. Furthermore, we show that there exists an indecomposable canonical form of upper triangular nilpotent nÃƒÂ—n matrix which admits at least [formula omitted]âˆ’2 parameters for nâ‰¥8.

Original language	English
Pages (from-to)	139-153
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	506
DOIs	https://doi.org/10.1016/j.laa.2016.05.020
Publication status	Published - 2016

Keywords

algebras_Linear
algorithms
matrices
nilpotent groups

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10.1016/j.laa.2016.05.020

Cite this

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title = "Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity",

abstract = "All indecomposable canonical forms are determined for upper triangular nilpotent matrices of size less than or equal to 7 under upper triangular similarity via Belitskii's algorithm. Furthermore, we show that there exists an indecomposable canonical form of upper triangular nilpotent n{\~A}ƒ{\^A}—n matrix which admits at least [formula omitted]{\^a}ˆ{\textquoteright}2 parameters for n{\^a}‰¥8.",

keywords = "algebras_Linear, algorithms, matrices, nilpotent groups",

author = "Yuan Chen and Yunge Xu and Huanhuan Li and Wenhao Fu",

year = "2016",

doi = "10.1016/j.laa.2016.05.020",

language = "English",

volume = "506",

pages = "139--153",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier",

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T1 - Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity

AU - Chen, Yuan

AU - Xu, Yunge

AU - Li, Huanhuan

AU - Fu, Wenhao

PY - 2016

Y1 - 2016

N2 - All indecomposable canonical forms are determined for upper triangular nilpotent matrices of size less than or equal to 7 under upper triangular similarity via Belitskii's algorithm. Furthermore, we show that there exists an indecomposable canonical form of upper triangular nilpotent nÃƒÂ—n matrix which admits at least [formula omitted]âˆ’2 parameters for nâ‰¥8.

AB - All indecomposable canonical forms are determined for upper triangular nilpotent matrices of size less than or equal to 7 under upper triangular similarity via Belitskii's algorithm. Furthermore, we show that there exists an indecomposable canonical form of upper triangular nilpotent nÃƒÂ—n matrix which admits at least [formula omitted]âˆ’2 parameters for nâ‰¥8.

KW - algebras_Linear

KW - algorithms

KW - matrices

KW - nilpotent groups

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:42965

U2 - 10.1016/j.laa.2016.05.020

DO - 10.1016/j.laa.2016.05.020

M3 - Article

SN - 0024-3795

VL - 506

SP - 139

EP - 153

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

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

Abstract

Keywords

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