TY - JOUR ID - 3760 TI - A modified conjugate gradient method based on a modified secant equation JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Faramarzi, Parvaneh AU - Amini, Keyvan AD - Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran Y1 - 2020 PY - 2020 VL - 8 IS - 1 SP - 1 EP - 20 KW - Conjugate gradient methods KW - Modified secant condition KW - Sufficient descent condition KW - Global convergence DO - 10.22124/jmm.2019.14807.1343 N2 - Quasi-Newton methods are one of the popular iterative schemes to solve unconstrained optimization problems. The high convergence rate and excellent precision are two prominent characteristics of the quasi-Newton methods. In this paper, according to the preferable properties of a modified secant condition, a modified conjugate gradient method is introduced. The new algorithm satisfies the sufficient descent property independent of the line search. The convergence properties of the proposed algorithm are investigated both for uniformly convex and general functions. Numerical experiments show the superiority of the proposed method. UR - https://jmm.guilan.ac.ir/article_3760.html L1 - https://jmm.guilan.ac.ir/article_3760_54f21bccf7cdd505f59d0dbfe14a9ec8.pdf ER -