1. A New Efficient Method for Absolute Value Equations.
- Author
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Guo, Peng, Iqbal, Javed, Ghufran, Syed Muhammad, Arif, Muhammad, Alhefthi, Reem K., and Shi, Lei
- Subjects
- *
ABSOLUTE value , *NEWTON-Raphson method , *NUMERICAL analysis , *EQUATIONS - Abstract
In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton–Cotes formula is taken as a corrector step. The proposed method's convergence is discussed in detail. This method is very simple and therefore very effective for solving large systems. In numerical analysis, we consider a beam equation, transform it into a system of absolute value equations and then use the proposed method to solve it. Numerical experiments show that our method is very accurate and faster than already existing methods. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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