Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 69-76.

Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations

School of Mathematics and Computational Sciences, China University of Petroleum

Received:2007-03-29 Online:2011-03-30 Published:2023-05-10
About author:SUN Qing-ying(1966- ), male, native of Qingzhou, Shandong, a professor of China University of Petroleum, Ph.D., engages in nonlinear programming.
Supported by:
Supported by the National Natural Science Foundation of China(10571106)； Supported by the Fundamental Research Funds for the Central Universities(10CX04044A)；

Abstract

Abstract: In this note, by combining the nice numerical performance of PR and HS methods with the global convergence property of FR method, a class of new restarting three terms conjugate gradient methods is presented. Global convergence properties of the new method with two kinds of common line searches are proved.

Key words: nonlinear programming, restarting three terms conjugate gradient method;
forcing function, reverse modulus of continuity function, convergence

CLC Number:

O221.2

SUN Qing-ying, SANG Zhao-yang, TIAN Feng-ting. Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 69-76.

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[2]	ZHAO Wen-zhi, XIA Zhi-ming. The SCUSUM Estimation of Variance Change Point in Linear Process [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 170-173.
[3]	CAO Li-hua, SUN Qing-ying. Global Convergence of a New Conjugate Gradient Methods with a Modification of the Curry-Altman Step-size Rule [J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 198-204.
[4]	SUN Qing-ying. Global Convergence of a New Restarting Conjugate Gradient Method for Nonlinear Optimizations [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 154-162.

Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations

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