English

On an optimal problem of bilinear forms

Functional Analysis 2025-05-09 v1 Optimization and Control Rings and Algebras

Abstract

We study an optimization problem originated from the Grothendieck constant. A generalized normal equation is proposed and analyzed. We establish a correspondence between solutions of the general normal equation and its dual equation. Explicit solutions are described for the two-dimensional case.

Keywords

Cite

@article{arxiv.2402.08599,
  title  = {On an optimal problem of bilinear forms},
  author = {Naihuan Jing and Yibo Liu and Jiacheng Sun and Chengrui Zhao and Haoran Zhu},
  journal= {arXiv preprint arXiv:2402.08599},
  year   = {2025}
}

Comments

6pp

R2 v1 2026-06-28T14:47:32.770Z