Gauss Quadrature Method for System of Absolute Value Equations

Lei Shi, Javed Iqbal (), Faiqa Riaz and Muhammad Arif
Additional contact information
Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Javed Iqbal: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Faiqa Riaz: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2023, vol. 11, issue 9, 1-8

Abstract: In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor step. The convergence of the proposed method is established under some acceptable conditions. Numerical examples prove the consistency and capability of this new method.

Keywords: Gauss quadrature method; absolute value equation; convergence analysis; numerical analysis; Euler–Bernoulli equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/9/2069/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/9/2069/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:9:p:2069-:d:1134095

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().