Modified Iteration Algorithm for Solving Absolute Value Equations.
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| Title: | Modified Iteration Algorithm for Solving Absolute Value Equations. |
|---|---|
| Authors: | Ao Xu1 wyglw@aust.edu.cn, Yage Wang2 wyglw@aust.edu.cn, Yuting Sheng2 805015354@qq.com, Minglei Fang3 fmlmath@aust.edu.cn, Weifan Zou2 2138819408@qq.com |
| Source: | IAENG International Journal of Applied Mathematics. Jun2025, Vol. 55 Issue 6, p1620-1624. 5p. |
| Subjects: | Absolute value, Nonlinear equations, Equations, Algorithms |
| Abstract: | A new iterative algorithm has been proposed in this study for the efficient solution of the absolute value equation (AVE). Through an equivalent transformation, the AVE has been restructured into a two-by-two block nonlinear equation, which led to the development of our new iteration method. The convergence characteristics and optimal parameters of this approach have been analyzed, and new convergence conditions, differing from previous findings, have been introduced. Numerical experiments have demonstrated that the proposed strategy is both feasible and effective. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 185633642 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Modified Iteration Algorithm for Solving Absolute Value Equations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ao+Xu%22">Ao Xu</searchLink><relatesTo>1</relatesTo><i> wyglw@aust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yage+Wang%22">Yage Wang</searchLink><relatesTo>2</relatesTo><i> wyglw@aust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yuting+Sheng%22">Yuting Sheng</searchLink><relatesTo>2</relatesTo><i> 805015354@qq.com</i><br /><searchLink fieldCode="AR" term="%22Minglei+Fang%22">Minglei Fang</searchLink><relatesTo>3</relatesTo><i> fmlmath@aust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Weifan+Zou%22">Weifan Zou</searchLink><relatesTo>2</relatesTo><i> 2138819408@qq.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2025, Vol. 55 Issue 6, p1620-1624. 5p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Absolute+value%22">Absolute value</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+equations%22">Nonlinear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A new iterative algorithm has been proposed in this study for the efficient solution of the absolute value equation (AVE). Through an equivalent transformation, the AVE has been restructured into a two-by-two block nonlinear equation, which led to the development of our new iteration method. The convergence characteristics and optimal parameters of this approach have been analyzed, and new convergence conditions, differing from previous findings, have been introduced. Numerical experiments have demonstrated that the proposed strategy is both feasible and effective. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 5 StartPage: 1620 Subjects: – SubjectFull: Absolute value Type: general – SubjectFull: Nonlinear equations Type: general – SubjectFull: Equations Type: general – SubjectFull: Algorithms Type: general Titles: – TitleFull: Modified Iteration Algorithm for Solving Absolute Value Equations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ao Xu – PersonEntity: Name: NameFull: Yage Wang – PersonEntity: Name: NameFull: Yuting Sheng – PersonEntity: Name: NameFull: Minglei Fang – PersonEntity: Name: NameFull: Weifan Zou IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 6 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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