scholarly journals A class of accelerated conjugate-gradient-like methods based on a modified secant equation

2020 ◽  
Vol 16 (3) ◽  
pp. 1503-1518
Author(s):  
Yigui Ou ◽  
◽  
Haichan Lin
Keyword(s):  
Conjugate Gradient ◽  
Secant Equation ◽  
Modified Secant Equation

scholarly journals A new family of Dai-Liao conjugate gradient methods with modified secant equation for unconstrained optimization

2021 ◽  
Author(s):  
Yutao Zheng
Keyword(s):  
Unconstrained Optimization ◽  
Conjugate Gradient ◽  
Gradient Methods ◽  
Conjugate Gradient Methods ◽  
Conjugacy Condition ◽  
New Family ◽  
Secant Equation ◽  
Strong Wolfe Line Search ◽  
Wolfe Line Search ◽  
Modified Secant Equation

In this paper, a new family of Dai-Liao--type conjugate gradient methods are proposed for unconstrained optimization problem. In the new methods, the modified secant equation used in [H. Yabe and M. Takano, Comput. Optim. Appl., 28: 203--225, 2004] is considered in Dai and Liao's conjugacy condition. Under some certain assumptions, we show that our methods are globally convergent for general functions with strong Wolfe line search. Numerical results illustrate that our proposed methods can outperform some existing ones.

An augmented memoryless BFGS method based on a modified secant equation with application to compressed sensing

2021 ◽  
Author(s):  
Zohre Aminifard ◽  
Saman Babaie-Kafaki ◽  
Saeide Ghafoori
Keyword(s):  
Compressed Sensing ◽  
Bfgs Method ◽  
Secant Equation ◽  
Modified Secant Equation
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