JOURNAL ARTICLE

New generalized Gauss–Seidel iteration methods for solving absolute value equations.

  • Published In: Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 7. P. 7432 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Ali, Rashid; Pan, Kejia 3 of 3

Abstract

The Gauss–Seidel iteration method is an effective technique for solving absolute value equations (AVEs). However, this method is often inefficient and cannot be used when the problem size increases. This study presents two generalized Gauss–Seidel iteration methods for solving AVEs to improve the performance of the Gauss–Seidel method. Convergence of the new methods is established under some appropriate conditions. Lastly, we show the effectiveness of the new methods through several numerical examples. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2025/05, Vol. 48, Issue 7, p7432
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2025
  • ISSN:0170-4214
  • DOI:10.1002/mma.9062
  • Accession Number:184321082
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell 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.)

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