Acceleration of convergence of static and dynamic iterations

K. Burrage; G. Hertono; Zdzislaw Jackiewicz; Bruno Welfert

doi:10.1023/A:1021935700208

Acceleration of convergence of static and dynamic iterations

K. Burrage, G. Hertono, Zdzislaw Jackiewicz, Bruno Welfert

CLAS-NS: Mathematical and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.

Original language	English (US)
Pages (from-to)	645-655
Number of pages	11
Journal	BIT Numerical Mathematics
Volume	41
Issue number	4
DOIs	https://doi.org/10.1023/A:1021935700208
State	Published - Dec 2001

Keywords

Acceleration of convergence &
Linear differen
Static and dynamic iterations
Tial systems

ASJC Scopus subject areas

Software
Computer Networks and Communications
Computational Mathematics
Applied Mathematics

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title = "Acceleration of convergence of static and dynamic iterations",

abstract = "A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.",

keywords = "Acceleration of convergence &, Linear differen, Static and dynamic iterations, Tial systems",

author = "K. Burrage and G. Hertono and Zdzislaw Jackiewicz and Bruno Welfert",

note = "Funding Information: ∗Received December 1999. Revised March 2001. Communicated by Olavi Nevanlinna. †The work of the third author was partially supported by the National Science Foundation under grant NSF DMS–9971164. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2001",

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doi = "10.1023/A:1021935700208",

language = "English (US)",

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T1 - Acceleration of convergence of static and dynamic iterations

AU - Burrage, K.

AU - Hertono, G.

AU - Jackiewicz, Zdzislaw

AU - Welfert, Bruno

N1 - Funding Information: ∗Received December 1999. Revised March 2001. Communicated by Olavi Nevanlinna. †The work of the third author was partially supported by the National Science Foundation under grant NSF DMS–9971164. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2001/12

Y1 - 2001/12

N2 - A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.

AB - A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.

KW - Acceleration of convergence &

KW - Linear differen

KW - Static and dynamic iterations

KW - Tial systems

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IS - 4

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Acceleration of convergence of static and dynamic iterations

Abstract

Keywords

ASJC Scopus subject areas

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