Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration

Yimin Wei; Jianfeng Cai; Michael K. Ng

doi:10.1016/j.mcm.2003.09.036

Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration

Yimin Wei
, Jianfeng Cai
, Michael K. Ng

Department of Mathematics

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

53 Citations (Scopus)

Abstract

We modify the algorithm of [1], based on Newton's iteration and on the concept of ε-displacement rank, to the computation of the Moore-Penrose inverse of a rank-deficient Toeplitz matrix. Numerical results are presented to illustrate the effectiveness of the method.

Original language	English
Pages (from-to)	181-191
Number of pages	11
Journal	Mathematical and Computer Modelling
Volume	40
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2003.09.036
Publication status	Published - Jul 2004

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SDG 9 Industry, Innovation, and Infrastructure

User-Defined Keywords

Moore-Penrose inverse
Newton's iteration
Toeplitz matrix

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10.1016/j.mcm.2003.09.036

Cite this

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title = "Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration",

abstract = "We modify the algorithm of [1], based on Newton's iteration and on the concept of ε-displacement rank, to the computation of the Moore-Penrose inverse of a rank-deficient Toeplitz matrix. Numerical results are presented to illustrate the effectiveness of the method.",

keywords = "Moore-Penrose inverse, Newton's iteration, Toeplitz matrix",

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

note = "Project supported by the National Natural Science Foundation of China and Hong Kong Research Grants Council Grant Nos. HKU 7130/02P and HKU 7046/03P. Publisher Copyright: {\textcopyright} 2004 Elsevier Ltd.",

year = "2004",

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language = "English",

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T1 - Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration

AU - Wei, Yimin

AU - Cai, Jianfeng

AU - Ng, Michael K.

PY - 2004/7

Y1 - 2004/7

N2 - We modify the algorithm of [1], based on Newton's iteration and on the concept of ε-displacement rank, to the computation of the Moore-Penrose inverse of a rank-deficient Toeplitz matrix. Numerical results are presented to illustrate the effectiveness of the method.

AB - We modify the algorithm of [1], based on Newton's iteration and on the concept of ε-displacement rank, to the computation of the Moore-Penrose inverse of a rank-deficient Toeplitz matrix. Numerical results are presented to illustrate the effectiveness of the method.

KW - Moore-Penrose inverse

KW - Newton's iteration

KW - Toeplitz matrix

UR - https://www.scopus.com/pages/publications/9944230602

UR - https://www.sciencedirect.com/science/article/pii/S0895717704802528?via%3Dihub#aep-article-footnote-id1

U2 - 10.1016/j.mcm.2003.09.036

DO - 10.1016/j.mcm.2003.09.036

M3 - Journal article

AN - SCOPUS:9944230602

SN - 0895-7177

VL - 40

SP - 181

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration

Abstract

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