English

On "two important theorems" in canonical duality theory

Optimization and Control 2018-08-16 v1

Abstract

In this short note we show, providing counterexamples, that the "two important theorems" in the recent paper [Y, Yuan, Global optimization solutions to a class of non-convex quadratic minimization problems with quadratic constraints, in Canonical Duality Theory, D.Y. Gao et al.\ (eds), (AMMA, volume 37), Springer, 2017] are false.

Keywords

Cite

@article{arxiv.1808.05074,
  title  = {On "two important theorems" in canonical duality theory},
  author = {C. Zalinescu},
  journal= {arXiv preprint arXiv:1808.05074},
  year   = {2018}
}
R2 v1 2026-06-23T03:34:33.532Z