On inversion of Toeplitz matrices

Michael K. Ng; Karla Rost; You Wei Wen

doi:10.1016/S0024-3795(01)00592-4

On inversion of Toeplitz matrices

Michael K. Ng^*
, Karla Rost
, You Wei Wen

^*Corresponding author for this work

Department of Mathematics

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

25 Citations (Scopus)

Abstract

In 1992, Labahn and Shalom showed that the inverse of a Toeplitz matrix can be reconstructed by two of its columns and by some entries of the original Toeplitz matrix. We here present a modification of this result and another (shorter) proof.

Original language	English
Pages (from-to)	145-151
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	348
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(01)00592-4
Publication status	Published - 15 Jun 2002

User-Defined Keywords

Toeplitz matrices
Displacement structure
Inverse

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10.1016/S0024-3795(01)00592-4

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title = "On inversion of Toeplitz matrices",

abstract = "In 1992, Labahn and Shalom showed that the inverse of a Toeplitz matrix can be reconstructed by two of its columns and by some entries of the original Toeplitz matrix. We here present a modification of this result and another (shorter) proof.",

keywords = "Toeplitz matrices, Displacement structure, Inverse",

author = "Ng, \{Michael K.\} and Karla Rost and Wen, \{You Wei\}",

note = "Publisher Copyright: {\textcopyright} 2002 Elsevier Science Inc. All rights reserved. Funding Information: Research supported in part by Hong Kong Research, Grants Council Grant Nos. HKU 7132/00P, and HKU CRCG Grant Nos. 10203907 and 10203408. The work described in this paper was also supported by a grant from the German Academic Exchange Services and the Research Grants Council of the Hong Kong Joint Research Scheme (Project No. G-HK020/00). Research supported in part by Guangdong Provincial High Educational Foundation of China Grant No. 990044 and Natural Science Foundation of China Grant No. 19971018.",

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doi = "10.1016/S0024-3795(01)00592-4",

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T1 - On inversion of Toeplitz matrices

AU - Ng, Michael K.

AU - Rost, Karla

AU - Wen, You Wei

N1 - Publisher Copyright: © 2002 Elsevier Science Inc. All rights reserved. Funding Information: Research supported in part by Hong Kong Research, Grants Council Grant Nos. HKU 7132/00P, and HKU CRCG Grant Nos. 10203907 and 10203408. The work described in this paper was also supported by a grant from the German Academic Exchange Services and the Research Grants Council of the Hong Kong Joint Research Scheme (Project No. G-HK020/00). Research supported in part by Guangdong Provincial High Educational Foundation of China Grant No. 990044 and Natural Science Foundation of China Grant No. 19971018.

PY - 2002/6/15

Y1 - 2002/6/15

N2 - In 1992, Labahn and Shalom showed that the inverse of a Toeplitz matrix can be reconstructed by two of its columns and by some entries of the original Toeplitz matrix. We here present a modification of this result and another (shorter) proof.

AB - In 1992, Labahn and Shalom showed that the inverse of a Toeplitz matrix can be reconstructed by two of its columns and by some entries of the original Toeplitz matrix. We here present a modification of this result and another (shorter) proof.

KW - Toeplitz matrices

KW - Displacement structure

KW - Inverse

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U2 - 10.1016/S0024-3795(01)00592-4

DO - 10.1016/S0024-3795(01)00592-4

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VL - 348

SP - 145

EP - 151

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

On inversion of Toeplitz matrices

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