Author:
Abubakar Auwal Bala,Muangchoo Kanikar,Ibrahim Abdulkarim Hassan,Abubakar Jamilu,Rano Sadiya Ali
Abstract
AbstractThis paper focuses on the problem of convex constraint nonlinear equations involving monotone operators in Euclidean space. A Fletcher and Reeves type derivative-free conjugate gradient method is proposed. The proposed method is designed to ensure the descent property of the search direction at each iteration. Furthermore, the convergence of the proposed method is proved under the assumption that the underlying operator is monotone and Lipschitz continuous. The numerical results show that the method is efficient for the given test problems.
Publisher
Springer Science and Business Media LLC
Reference35 articles.
1. Abubakar, A.B.; Ibrahim, A.H.; Muhammad, A.B.; Tammer, C.: A modified descent dai-yuan conjugate gradient method for constraint nonlinear monotone operator equations. Appl. Anal. Optim. 4(1), 1–24 (2020)
2. Abubakar, A.B.; Kumam, P.; Mohammad, H.: A note on the spectral gradient projection method for nonlinear monotone equations with applications. Comput. Appl. Math. 39, 129 (2020)
3. Abubakar, A.B.; Rilwan, J.; Yimer, S.E.; Ibrahim, A.H.; Ahmed, I.: Spectral three-term conjugate descent method for solving nonlinear monotone equations with convex constraints. Thai J. Math. 18(1), 501–517 (2020)
4. Berry, M.W.; Browne, M.; Langville, A.N.; Paul Pauca, V.; Plemmons, R.J.: Algorithms and applications for approximate nonnegative matrix factorization. Comput. Stat. Data Anal. 52(1), 155–173 (2007)
5. Bing, Y.; Lin, G.: An efficient implementation of merrill’s method for sparse or partially separable systems of nonlinear equations. SIAM J. Optim. 1(2), 206–221 (1991)
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