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Research articles

ScienceAsia 47 (2021): 235-240 |doi: 10.2306/scienceasia1513-1874.2021.018

A three-term derivative-free projection method for convex constrained monotone equations

Haisong Cao

ABSTRACT:     In this work, we propose a three-term derivative-free projection method to solve nonlinear monotone equations with convex constraints based on the structures of the famous Dai-Yuan (DY) conjugate gradient method and the three-term conjugate gradient method. The proposed derivative-free method is suitable for solving large-scale problems due to its simple structure and lower storage requirement. The search direction satisfies the sufficient descent property independent of any line search. The global convergence is established under some conditions. The preliminary numerical results indicate that the proposed method is robust and effective.

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a School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045 China

* Corresponding author, E-mail: hscao678@163.com

Received 9 Sep 2020, Accepted 14 Dec 2020