Displacement structure of group inverses

Yimin Wei; Michael K. Ng

doi:10.1002/nla.405

Displacement structure of group inverses

Yimin Wei^*, Michael K. Ng

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

17 Citations (Scopus)

Abstract

A matrix A is said to possess an UV-displacement structure if rank(AU - VA) is small compared with the rank of A. Estimates for the rank A_gV - UA_g are presented, where A_g is the group inverse of A.

Original language	English
Pages (from-to)	103-110
Number of pages	8
Journal	Numerical Linear Algebra with Applications
Volume	12
Issue number	2-3
DOIs	https://doi.org/10.1002/nla.405
Publication status	Published - Mar 2005

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Displacement structure
Group inverse
Jordan canonical form

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10.1002/nla.405

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title = "Displacement structure of group inverses",

abstract = "A matrix A is said to possess an UV-displacement structure if rank(AU - VA) is small compared with the rank of A. Estimates for the rank AgV - UAg are presented, where Ag is the group inverse of A.",

keywords = "Displacement structure, Group inverse, Jordan canonical form",

author = "Yimin Wei and Ng, {Michael K.}",

note = "Publisher copyright: {\textcopyright} 2004 John Wiley & Sons, Ltd.",

year = "2005",

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KW - Displacement structure

KW - Group inverse

KW - Jordan canonical form

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JO - Numerical Linear Algebra with Applications

JF - Numerical Linear Algebra with Applications

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ER -

Displacement structure of group inverses

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