Two Settings of the Dai-Liao Parameter Based on Modified Secant Equations
Publish Year: 1397
Type: Journal paper
Language: English
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Document National Code:
JR_COAM-3-2_005
Index date: 19 February 2023
Two Settings of the Dai-Liao Parameter Based on Modified Secant Equations abstract
Following the setting of the Dai-Liao (DL) parameter in conjugate gradient (CG) methods, we introduce two new parameters based on the modified secant equation proposed by Li et al. (Comput. Optim. Appl. 202:523-539, 2007) with two approaches, which use an extended new conjugacy condition. The first is based on a modified descent three-term search direction, as the descent Hestenes-Stiefel CG method. The second is based on the quasi-Newton (QN) approach. Global convergence of the proposed methods for uniformly convex functions and general functions is proved. Numerical experiments are done on a set of test functions of the CUTEr collection and the results are compared with some well-known methods.
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Two Settings of the Dai-Liao Parameter Based on Modified Secant Equations authors
Saeed Nezhadhosein
Department of Applied Mathematics, Payame Noor University, Tehran ۱۹۳۹۵۳۶۹۷, Iran
Sahar Mohammadkhan Sartip
Department of Applied Mathematics, Payame Noor University, Tehran, ۱۹۳۹۵۳۶۹۷, Iran
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