A class of derivative-free trust-region methods with interior backtracking technique for nonlinear optimization problems subject to linear inequality constraints-Reference-Cited by-同舟云学术

A class of derivative-free trust-region methods with interior backtracking technique for nonlinear optimization problems subject to linear inequality constraints

Published:2018-05-09 Issue:1 Volume:2018 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Gao Jing,Cao Jian

Funder

National Natural Science Foundation of China

13th five-year Science and Technology Project of Education Department of Jilin Province

PhD Start-up Fund of Natural Science Foundation of Beihua University

Youth Training Project Foundation of Beihua University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-018-1698-7.pdf

Reference17 articles.

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2. Kanzow, C., Klug, A.: On affine-acaling interior-point Newton methods for nonlinear minimization with bound constraints, Comput. Optim. Appl. 35(2), 177–197 (2006)

3. Heinkenschloss, M., Ulbrich, M., Ulbrich, S.: Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption. Math. Program. 86(3), 615–635 (1999)

4. Liuzzi, G., Lucidi, S., Sciandrone, M.: Sequential penalty derivative-free methods for nonlinear constrained optimization. SIAM J. Optim. 20(5), 2614–2635 (2010)

5. Coleman, T.F., Li, Y.: A trust region and affine scaling interior point method for nonconvex minimization with linear inequality constraints. Math. Program. 88(1), 1–31 (1997)

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