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A New Hybrid Spectral Gradient Projection Method for Monotone System Equations with Convex Constraints
| Content Provider | Semantic Scholar |
|---|---|
| Author | Awwal, Aliyu Muhammed Kumam, Poom Abubakar, Auwal Bala Wakili, Adamu Pakkaranang, Nuttapol |
| Copyright Year | 2018 |
| Abstract | Spectral gradient methods and projection technique have motivated many numerical methods for solving monotone equations. In this work, we proposed a hybrid spectral gradient algorithm for system of nonlinear monotone equations with convex constraints. The method is a combination of a convex combination of two different positive spectral parameters and the projection technique. The global convergence of the method was established under the assumptions of Corresponding author email: poom.kumam@mail.kmutt.ac.th (Poom Kumam) Copyright c ⃝ 2018 by the Mathematical Association of Thailand. All rights reserved. 126 A.M. Awwal, P. Kumam, A. B. Abubakar, A. Wakili and N. Pakkaranang monotonicity and Lipschitz continuity. Numerical results presented by means of comparative experiments with a similar method shows the proposed method is very efficient. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/download/3376/354354454 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
