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arXiv · 2402.08599

On an optimal problem of bilinear forms

Naihuan Jing·Yibo Liu·Jiacheng Sun·Chengrui Zhao·Haoran Zhu
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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.

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Naihuan Jing, Yibo Liu, Jiacheng Sun, Chengrui Zhao, Haoran Zhu. 2024-02-13. On an optimal problem of bilinear forms. https://doi.org/10.2140/involve.2025.18.479

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