The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

Z. B. Xu; P. Xu; X. Z. Shi

doi:10.1080/00207169508804414

The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

Z. B. Xu
, P. Xu
, X. Z. Shi

School of Mathematics and Statistics

Xi'an Jiaotong University

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

Abstract

A new ball algorithm for bounding a zero point of a nonlinear quasi-strongly monotone operator in Hilbert spaces is presented. It is shown that the algorithm converges much more rapidly than the existing ball algorithms for the given problems. Numerical comparisons are made to support the conclusion.

Original language	English
Pages (from-to)	83-96
Number of pages	14
Journal	International Journal of Computer Mathematics
Volume	57
Issue number	1-2
DOIs	https://doi.org/10.1080/00207169508804414
State	Published - 1 Jan 1995

Keywords

Ball algorithm
geometric estimator
gib Lipschitz constant
nonlinear quasi-strongly monotone operator
region contraction algorithm

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10.1080/00207169508804414

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title = "The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators",

abstract = "A new ball algorithm for bounding a zero point of a nonlinear quasi-strongly monotone operator in Hilbert spaces is presented. It is shown that the algorithm converges much more rapidly than the existing ball algorithms for the given problems. Numerical comparisons are made to support the conclusion.",

keywords = "Ball algorithm, geometric estimator, gib Lipschitz constant, nonlinear quasi-strongly monotone operator, region contraction algorithm",

author = "Xu, \{Z. B.\} and P. Xu and Shi, \{X. Z.\}",

year = "1995",

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AU - Shi, X. Z.

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N2 - A new ball algorithm for bounding a zero point of a nonlinear quasi-strongly monotone operator in Hilbert spaces is presented. It is shown that the algorithm converges much more rapidly than the existing ball algorithms for the given problems. Numerical comparisons are made to support the conclusion.

AB - A new ball algorithm for bounding a zero point of a nonlinear quasi-strongly monotone operator in Hilbert spaces is presented. It is shown that the algorithm converges much more rapidly than the existing ball algorithms for the given problems. Numerical comparisons are made to support the conclusion.

KW - Ball algorithm

KW - geometric estimator

KW - gib Lipschitz constant

KW - nonlinear quasi-strongly monotone operator

KW - region contraction algorithm

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M3 - 文章

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JO - International Journal of Computer Mathematics

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The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

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Keywords

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