English

On quadratic optimization problems and canonical duality theory

Optimization and Control 2018-09-25 v1

Abstract

DY Gao solely or together with some of his collaborators applied his Canonical duality theory (CDT) for solving some quadratic optimization problems with quadratic constraints. Unfortunately, in almost all papers we read on CDT there are unclear definitions, non convincing arguments in the proofs, and even false results. The aim of this paper is to treat rigorously quadratic optimization problems by the method suggested by CDT and to compare what we get with the results obtained by DY Gao and his collaborators on this topic in several papers.

Keywords

Cite

@article{arxiv.1809.09032,
  title  = {On quadratic optimization problems and canonical duality theory},
  author = {C. Zalinescu},
  journal= {arXiv preprint arXiv:1809.09032},
  year   = {2018}
}

Comments

20 pages; presented at 4th International Conference on Nonlinear Analysis and Optimization, Zanjan (Iran)

R2 v1 2026-06-23T04:16:39.181Z