Derivative-Free Three-Term Spectral Conjugate Gradient Method for Symmetric Nonlinear Equations

Mohammed Yusuf Waziri, Muhammad Yusuf Kufena, Abubakar Sani Halilu

Abstract


In this paper, we proposed a new derivative-free three-term spectral conjugate gradient (DFTTS) method via extending the direction proposed by Birgin and Mertinez [E.G. Birgin, J.M. Martinez, A spectral Conjugate Gradient Method for Unconstrained Optimization, Appl. Math. Optim. 43 (2) (2001) 117--128] to three-term together with the classical Newton's direction. One of the important properties of the proposed method is that, it generated a descent direction using inexact line search. The global convergence of the proposed algorithm was established under appropriate conditions. Numerical results for the benchmark test problems demonstrated an improved efficiency of the method over some existing ones.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


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).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|