On the paper "A study on concave optimization via canonical dual function"

TL;DR

This paper critically examines a previous work on concave optimization, providing a counter-example to disprove a key theorem and offering a concise proof for another theorem, thereby clarifying the theoretical landscape.

Contribution

It identifies an error in a prior theorem and supplies a simplified proof for an existing theorem in the context of concave optimization and canonical dual functions.

Findings

Counter-example disproves Theorem 3.2

Provides a short proof for Theorem 3.1

Clarifies theoretical understanding in concave optimization

Abstract

In this short note we prove by a counter-example that Theorem 3.2 in the paper "A study on concave optimization via canonical dual function" by J. Zhu, S. Tao, D. Gao is false; moreover, we give a very short proof for Theorem 3.1 in the same paper.