20 citations · 31 across the 23 of their papers we have counts for
5 papers · 1 filter
Two-step Newton's method for deflation-one singular zeros of analytic systems
Kisun Lee, Nan Li, Lihong Zhi
We propose a two-step Newton's method for refining an approximation of a singular zero whose deflation process terminates after one step, also known as a deflation-one singularity.…
The non-Archimedean Nirgendsnegativsemidefinitheitsstellensatz is not true
Hao Liang, Sizhuo Yan, Jianting Yang +1
Klep and Schweighofer asked whether the Nirgendsnegativsemide-finitheitsstellensatz holds for a symmetric noncommutative polynomial whose evaluations at bounded self-adjoint operat…
A Field-Theoretic View of Unlabeled Sensing
Hao Liang, Jingyu Lu, Manolis C. Tsakiris +1
Unlabeled sensing is the problem of solving a linear system of equations, where the right-hand-side vector is known only up to a permutation. In this work, we study fields of ratio…
Lower Bounds of Functions on Finite Abelian Groups
Jiangting Yang, Ke Ye, Lihong Zhi
The problem of computing the optimum of a function on a finite set is an important problem in mathematics and computer science. Many combinatorial problems such as MAX-SAT and MAXC…
A Characterization of Perfect Strategies for Mirror Games
Sizhuo Yan, Jianting Yang, Tianshi Yu +1
We associate mirror games with the universal game algebra and use the *-representation to describe quantum commuting operator strategies. We provide an algebraic characterization o…