SCIENCE ASIA

Volume 47, No. 02, Month APRIL, Year 2021, Pages 235 - 240

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

Haisong Cao

Abstract Download PDF

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.

Keywords

nonlinear monotone equations, three-term conjugate gradient method, projection method, global convergence

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