Calabi-Polyak convexity theorem, Yuan’s lemma and S-lemma: extensions and applications-Reference-Cited by-同舟云学术

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Calabi-Polyak convexity theorem, Yuan’s lemma and S-lemma: extensions and applications

Published:2022-08-27 Issue:3 Volume:85 Page:743-756
ISSN:0925-5001
Container-title:Journal of Global Optimization
language:en
Short-container-title:J Glob Optim

Author:

Song Mengmeng,Xia Yong^ORCID

Funder

Beijing Natural Science Foundation

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization,Computer Science Applications,Business, Management and Accounting (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s10898-022-01225-0.pdf

Reference25 articles.

1. Anitescu, M.: Degenerate nonlinear programming with a quadratic growth condition. SIAM J. Optim. 10, 1116–1135 (2000)

2. Baccari, A., Trad, A.: On the classical necessary second-order optimality conditions in the presence of equality and inequality constraints. SIAM J. Optim. 15, 394–408 (2004)

3. Beck, A., Ben-Tal, A., Teboulle, M.: Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. SIAM J. Matrix Anal. Appl. 28, 425–445 (2006)

4. Bertsimas, D., Tsitsiklis, J.: Introduction to Linear Optimization. Athena Scientific, MA, USA (1998)

5. Bonnans, J.F., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer, New York, NY (2000)

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