A Newton-type technique for solving absolute value equations

被引：11

作者：

Khan, Alamgir ^{[1
]}

Iqbal, Javed ^{[2
]}

Akgul, Ali ^{[3
,4
]}

Ali, Rashid ^{[1
]}

Du, Yuting ^{[5
]}

Hussain, Arafat ^{[6
]}

Nisar, Kottakkaran Sooppy ^{[7
]}

Vijayakumar, V. ^{[8
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

[3] Siirt Univ, Art & Sci Fac, Dept Math, Siirt, Turkey

[4] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd, PC 99138 Mersin 10, Nicosia, Turkey

[5] Nanjing Univ Aeronaut & Astronaut, Coll Econ & Management, Nanjing, Peoples R China

[6] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Jiangsu, Peoples R China

[7] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[8] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 64卷

关键词：

Iterative technique; Absolute value equation; Convergence; Numerical examples; ITERATION METHOD;

D O I：

10.1016/j.aej.2022.08.052

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson's method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical out-comes show the efficiency of our technique. We add the concluding remarks at the end of this paper. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).

引用

页码：291 / 296

页数：6

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