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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.08599 |
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| _version_ | 1866916725333688320 |
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| author | Jing, Naihuan Liu, Yibo Sun, Jiacheng Zhao, Chengrui Zhu, Haoran |
| author_facet | Jing, Naihuan Liu, Yibo Sun, Jiacheng Zhao, Chengrui Zhu, Haoran |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an optimal problem of bilinear forms Jing, Naihuan Liu, Yibo Sun, Jiacheng Zhao, Chengrui Zhu, Haoran Functional Analysis Optimization and Control Rings and Algebras 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. |
| title | On an optimal problem of bilinear forms |
| topic | Functional Analysis Optimization and Control Rings and Algebras |
| url | https://arxiv.org/abs/2402.08599 |