Gauss Quadrature Method for System of Absolute Value Equations

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 i...

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Bibliographic Details
Published in:Mathematics
Main Authors: Lei Shi, Javed Iqbal, Faiqa Riaz, Muhammad Arif
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Subjects:
Gauss quadrature method
absolute value equation
convergence analysis
numerical analysis
Euler–Bernoulli equation
Online Access:https://www.mdpi.com/2227-7390/11/9/2069
Description
Summary: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.
ISSN:2227-7390

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