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On an optimal
problem of bilinear forms
Naihuan Jing, Yibo Liu, Jiacheng Sun, Chengrui Zhao and Haoran Zhu |
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Vol. 18 (2025), No. 3, 479–486
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Abstract |
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We study an optimization problem originating 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
Grothendieck constant, general normal equation,
optimization
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Mathematical Subject Classification
Primary: 15A18
Secondary: 15Axx
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Milestones
Received: 1 August 2023
Revised: 28 January 2024
Accepted: 19 February 2024
Published: 28 April 2025
Communicated by Kenneth S. Berenhaut
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Authors |
| Naihuan Jing | |
| Department of Mathematics North Carolina State University Raleigh, NC United States |
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| Yibo Liu | |
| College of Sciences Northeastern University Shenyang China |
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| Jiacheng Sun | |
| College of Sciences Northeastern University Shenyang China |
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| Chengrui Zhao | |
| College of Sciences Northeastern University Shenyang China |
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| Haoran Zhu | |
| College of Sciences Northeastern University Shenyang China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
