20 citations · 31 across the 23 of their papers we have counts for
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math.OC2022
Extensions of S-Lemma for Noncommutative Polynomials
Feng Guo, Sizhuo Yan, Lihong Zhi
We consider the problem of extending the classical S-lemma from commutative case to noncommutative cases. We show that a symmetric quadratic homogeneous matrix-valued polynomial is…
math.OC2022★ 1 cited
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…