A note on the perturbation of the W -weighted Drazin inverse

Yimin Wei; Ching-Wah Woo; Tiangang Lei

doi:10.1016/S0096-3003(03)00150-4

A note on the perturbation of the W -weighted Drazin inverse

Yimin Wei
, Ching-Wah Woo
, Tiangang Lei

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

26 Citations (Scopus)

Abstract

The perturbation bound for the W-weighted Drazin inverse A_d,w for rectangular matrices A, W under the weaker condition was established. The perturbation bound was based on the generalized Jordan canonical form. The Drazin inverse is useful in various applications, including difference equations, Markov chains and iterative methods. The application to singular linear equations was also discussed.

Original language	English
Pages (from-to)	423-430
Journal	Applied Mathematics and Computation
Volume	149
Issue number	2
DOIs	https://doi.org/10.1016/S0096-3003(03)00150-4
Publication status	Published - 12 Feb 2004

Research Keywords

Generalized Jordan canonical form
Perturbation
W -weighted Drazin inverse

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title = "A note on the perturbation of the W -weighted Drazin inverse",

abstract = "The perturbation bound for the W-weighted Drazin inverse Ad,w for rectangular matrices A, W under the weaker condition was established. The perturbation bound was based on the generalized Jordan canonical form. The Drazin inverse is useful in various applications, including difference equations, Markov chains and iterative methods. The application to singular linear equations was also discussed.",

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T1 - A note on the perturbation of the W -weighted Drazin inverse

AU - Wei, Yimin

AU - Woo, Ching-Wah

AU - Lei, Tiangang

PY - 2004/2/12

Y1 - 2004/2/12

N2 - The perturbation bound for the W-weighted Drazin inverse Ad,w for rectangular matrices A, W under the weaker condition was established. The perturbation bound was based on the generalized Jordan canonical form. The Drazin inverse is useful in various applications, including difference equations, Markov chains and iterative methods. The application to singular linear equations was also discussed.

AB - The perturbation bound for the W-weighted Drazin inverse Ad,w for rectangular matrices A, W under the weaker condition was established. The perturbation bound was based on the generalized Jordan canonical form. The Drazin inverse is useful in various applications, including difference equations, Markov chains and iterative methods. The application to singular linear equations was also discussed.

KW - Generalized Jordan canonical form

KW - Perturbation

KW - W -weighted Drazin inverse

UR - https://www.scopus.com/pages/publications/0347540935

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0347540935&origin=recordpage

U2 - 10.1016/S0096-3003(03)00150-4

DO - 10.1016/S0096-3003(03)00150-4

M3 - RGC 21 - Publication in refereed journal

SN - 0096-3003

VL - 149

SP - 423

EP - 430

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

A note on the perturbation of the W -weighted Drazin inverse

Abstract

Research Keywords

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