Optimal preconditioners for systems defined by functions of Toeplitz matrices

S. Hon

doi:10.1016/j.laa.2018.03.003

Optimal preconditioners for systems defined by functions of Toeplitz matrices

S. Hon

Department of Mathematics

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

5 Citations (Scopus)

Abstract

We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices . In this paper we are interested in solving by the preconditioned conjugate method or the preconditioned minimal residual method, namely in the cases when are the functions , and . Numerical results are given to show the effectiveness of the proposed preconditioners.

Original language	English
Pages (from-to)	148-171
Number of pages	24
Journal	Linear Algebra and Its Applications
Volume	548
DOIs	https://doi.org/10.1016/j.laa.2018.03.003
Publication status	Published - Jul 2018

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10.1016/j.laa.2018.03.003

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title = "Optimal preconditioners for systems defined by functions of Toeplitz matrices",

abstract = "We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices . In this paper we are interested in solving by the preconditioned conjugate method or the preconditioned minimal residual method, namely in the cases when are the functions , and . Numerical results are given to show the effectiveness of the proposed preconditioners.",

author = "S. Hon",

note = "The research of the author was partially supported by Croucher Foundation.",

year = "2018",

month = jul,

doi = "10.1016/j.laa.2018.03.003",

language = "English",

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pages = "148--171",

journal = "Linear Algebra and Its Applications",

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T1 - Optimal preconditioners for systems defined by functions of Toeplitz matrices

AU - Hon, S.

N1 - The research of the author was partially supported by Croucher Foundation.

PY - 2018/7

Y1 - 2018/7

N2 - We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices . In this paper we are interested in solving by the preconditioned conjugate method or the preconditioned minimal residual method, namely in the cases when are the functions , and . Numerical results are given to show the effectiveness of the proposed preconditioners.

AB - We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices . In this paper we are interested in solving by the preconditioned conjugate method or the preconditioned minimal residual method, namely in the cases when are the functions , and . Numerical results are given to show the effectiveness of the proposed preconditioners.

UR - https://www.scopus.com/pages/publications/85043381447

U2 - 10.1016/j.laa.2018.03.003

DO - 10.1016/j.laa.2018.03.003

M3 - Journal article

SN - 0024-3795

VL - 548

SP - 148

EP - 171

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Optimal preconditioners for systems defined by functions of Toeplitz matrices

Abstract

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