Parallel multisplitting methods for a class of systems of weakly nonlinear equations without isotone mapping

Yuan Ming Wang

doi:10.1016/S0096-3003(98)10141-8

Parallel multisplitting methods for a class of systems of weakly nonlinear equations without isotone mapping

Yuan Ming Wang^*

^*Corresponding author for this work

School of Mathematical Sciences

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

3 Scopus citations

Abstract

A parallel matrix multisplitting iterative method is set up for a class of systems of weakly nonlinear equations without isotone mapping. The two-sided monotone convergence is shown. A sufficient condition is given to ensure the monotone convergence of the new method to the unique solution of the system in some sector. The influences of different multisplittings on the convergence rate are investigated in the sense of monotonicity. A numerical example is given.

Original language	English
Pages (from-to)	135-150
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	109
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(98)10141-8
State	Published - 15 Mar 2000

Keywords

Convergence rate
Matrix multisplitting
Monotone convergence
System of weakly nonlinear equations without isotone mapping

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10.1016/S0096-3003(98)10141-8

Cite this

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abstract = "A parallel matrix multisplitting iterative method is set up for a class of systems of weakly nonlinear equations without isotone mapping. The two-sided monotone convergence is shown. A sufficient condition is given to ensure the monotone convergence of the new method to the unique solution of the system in some sector. The influences of different multisplittings on the convergence rate are investigated in the sense of monotonicity. A numerical example is given.",

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N2 - A parallel matrix multisplitting iterative method is set up for a class of systems of weakly nonlinear equations without isotone mapping. The two-sided monotone convergence is shown. A sufficient condition is given to ensure the monotone convergence of the new method to the unique solution of the system in some sector. The influences of different multisplittings on the convergence rate are investigated in the sense of monotonicity. A numerical example is given.

AB - A parallel matrix multisplitting iterative method is set up for a class of systems of weakly nonlinear equations without isotone mapping. The two-sided monotone convergence is shown. A sufficient condition is given to ensure the monotone convergence of the new method to the unique solution of the system in some sector. The influences of different multisplittings on the convergence rate are investigated in the sense of monotonicity. A numerical example is given.

KW - Convergence rate

KW - Matrix multisplitting

KW - Monotone convergence

KW - System of weakly nonlinear equations without isotone mapping

UR - https://www.scopus.com/pages/publications/0347318485

U2 - 10.1016/S0096-3003(98)10141-8

DO - 10.1016/S0096-3003(98)10141-8

M3 - 文章

AN - SCOPUS:0347318485

SN - 0096-3003

VL - 109

SP - 135

EP - 150

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

Parallel multisplitting methods for a class of systems of weakly nonlinear equations without isotone mapping

Abstract

Keywords

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