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Spectral three-term conjugate descent method for solving nonlinear monotone equations with convex constraints

Auwal Bala Abubakar, Jewaidu Rilwan, Seifu Endris Yimer, Abdulkarim Hassan Ibrahim, Idris Ahmed

Abstract


This paper proposes three (3) three term conjugate gradient (CG) methods based on the well known conjugate descent (CD) CG parameter. The two directions were obtained by adding a term to the CD direction such that the sufficient descent property is satisfied. Under some assumptions, we establish the convergence of the proposed methods. In addition, numerical examples were given to show the capability of the two methods in solving nonlinear monotone equations with convex constraints.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|