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20222026
most citedSparse sum of Hermitian squares in group algebras of finite groups

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Sparse sum of Hermitian squares in group algebras of finite groups

Jianting Yang, Ke Ye, Lihong Zhi

Nonnegative elements in group algebras play a central role in harmonic analysis, operator algebras, and computational optimization. This paper investigates sparse sum-of-Hermitian-…

math.OC2022

Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time

Jianting Yang, Ke Ye, Lihong Zhi

The problem of verifying the nonnegativity of a function on a finite abelian group is a long-standing challenging problem. The basic theory of representation theory of finite group…