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math.FA2024
Norm of the Hilbert matrix operator between some spaces of analytic functions
Hao Hu, Shanli Ye
In this paper, we calculate the exact value of the norm of the Hilbert matrix operator from the logarithmically weighted Korenblum space into Kore…
math.OC2024
Affine Facial Reduction for Semidefinite Relaxations of Binary and Mixed-Binary Optimization Problems
Hao Hu, Boshi Yang
Semidefinite programming (SDP) relaxations can provide strong bounds for binary and mixed-binary optimization problems, but their practical use is often limited by matrix variables…
math.OC2024★ 1 cited
The Maximum Singularity Degree for Linear and Semidefinite Programming
Hao Hu
Facial reduction (FR) is an important tool in linear and semidefinite programming, providing both algorithmic and theoretical insights into these problems. The maximum length of an…