A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems-Reference-Cited by-同舟云学术

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A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems

Published:2020-10-19 Issue:4 Volume:57 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Yuan Gonglin,Wang Zhan,Li Pengyuan

Funder

National Natural Science Foundation of China

High Level Innovation Teams and Excellent Scholars Program in Guangxi institutions of higher education

Guangxi Natural Science Key Fund

Special Funds for Local Science and Technology Development Guided by the Central Government

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10092-020-00383-5.pdf

Reference30 articles.

1. Byrd, R., Nocedal, J., Yuan, Y.: Global convergence of a class of quasi-newton methods on convex problems. SIAM J. Numer. Anal. 24, 1171–1189 (1987)

2. Byrd, R., Nocedal, J.: A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM J. Numer. Anal. 26, 727–739 (1989)

3. Dolan, E.D., Moré, J.J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201–213 (2002)

4. Jr, Dennis J.E., Moré, J.J.: Quasi-Newton Methods, Motivation and Theory. SIAM Rev. 19, 46–89 (1977)

5. Dixon, L.C.W.: Variable metric algorithms: Nessary and sufficient conditions for identical behavior on nonquadratic functions. J. Optim. Theory Appl. 10, 34–40 (1972)

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