On Drazin inverse of singular Toeplitz matrix

Yimin Wei; Huaian Diao; Kwok Po NG

doi:10.1016/j.amc.2004.11.011

On Drazin inverse of singular Toeplitz matrix

Yimin Wei^*, Huaian Diao, Kwok Po NG

^*Corresponding author for this work

Department of Mathematics

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

13 Citations (Scopus)

Abstract

In this paper we show that the Drazin inverse of singular Toeplitz matrix can be represented as a sum of products of lower and upper triangular Toeplitz matrices and give the explicit expression, which generalizes the well-known result by Gohberg and Semencul regarding the inverse of Toeplitz matrix.

Original language	English
Pages (from-to)	809-817
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	172
Issue number	2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.amc.2004.11.011
Publication status	Published - 15 Jan 2006

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

User-Defined Keywords

Drazin inverse
Index
Toeplitz matrix

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10.1016/j.amc.2004.11.011

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title = "On Drazin inverse of singular Toeplitz matrix",

abstract = "In this paper we show that the Drazin inverse of singular Toeplitz matrix can be represented as a sum of products of lower and upper triangular Toeplitz matrices and give the explicit expression, which generalizes the well-known result by Gohberg and Semencul regarding the inverse of Toeplitz matrix.",

keywords = "Drazin inverse, Index, Toeplitz matrix",

author = "Yimin Wei and Huaian Diao and NG, {Kwok Po}",

note = "Funding Information: Project supported by National Natural Science Foundation of China under grant 10471027 and Shanghai Education Committee, HKU 7046/03P and HKU 7130/02P. ",

year = "2006",

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T1 - On Drazin inverse of singular Toeplitz matrix

AU - Wei, Yimin

AU - Diao, Huaian

AU - NG, Kwok Po

N1 - Funding Information: Project supported by National Natural Science Foundation of China under grant 10471027 and Shanghai Education Committee, HKU 7046/03P and HKU 7130/02P.

PY - 2006/1/15

Y1 - 2006/1/15

N2 - In this paper we show that the Drazin inverse of singular Toeplitz matrix can be represented as a sum of products of lower and upper triangular Toeplitz matrices and give the explicit expression, which generalizes the well-known result by Gohberg and Semencul regarding the inverse of Toeplitz matrix.

AB - In this paper we show that the Drazin inverse of singular Toeplitz matrix can be represented as a sum of products of lower and upper triangular Toeplitz matrices and give the explicit expression, which generalizes the well-known result by Gohberg and Semencul regarding the inverse of Toeplitz matrix.

KW - Drazin inverse

KW - Index

KW - Toeplitz matrix

UR - http://www.scopus.com/inward/record.url?scp=31644446844&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2004.11.011

DO - 10.1016/j.amc.2004.11.011

M3 - Journal article

AN - SCOPUS:31644446844

SN - 0096-3003

VL - 172

SP - 809

EP - 817

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2 SPEC. ISS.

ER -

On Drazin inverse of singular Toeplitz matrix

Abstract

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