Convergence analysis of the DFP algorithm for unconstrained optimization problems on Riemannian manifolds-Reference-Cited by-同舟云学术

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Convergence analysis of the DFP algorithm for unconstrained optimization problems on Riemannian manifolds

Published:2024-03-12 Issue: Volume: Page:
ISSN:1862-4472
Container-title:Optimization Letters
language:en
Short-container-title:Optim Lett

Author:

Li Xiao-bo,Tu Kai^ORCID,Lu Jian

Funder

Natural Science Foundation of Sichuan Province

National Natural Science Foundation of China

the Fundamental Research Funds for the Central Universities

Natural Science Foundation of Guangdong Province

Educational Commission of Guangdong Province of China

Humanities and Social Science Fund of Ministry of Education of China

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11590-024-02103-2.pdf

Reference35 articles.

1. Davidon, W.C.: Variable Metric Algorithms for Minimization, Argonne National Laboratory Report, (1959)

2. Fletcher, R., Powell, M.J.D.: A rapidly convergent descent method for minimization. Comput. J. 6, 317–322 (1963)

3. Powell, M.J.D.: How bad are the BFGS and DFP methods when the objective function is quadratic? Math. Program. 34, 34–47 (1986)

4. Powell, M.J.D.: On the Control of the DFP algorithm for unconstrained optimization when there are only two variables. Math. Program. 87, 281–301 (2000)

5. Pu, D.G.: Convergence of the DFP algorithm without exact line search. J. Optim. Theory Appl. 112, 187–211 (2002)

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