论文标题
非交通性部分凸理性函数
Noncommutative partially convex rational functions
论文作者
论文摘要
本文由双线性基质不平等（BMI）和部分凸性的经典概念进行，本文调查了非共同功能的部分凸性。结果表明，部分凸的非交通性合理函数允许需要方形的新型蝴蝶型实现。还考虑了Xy-跨性别的概念，即与BMI相关的部分凸的增强。给出了xy-convex多项式的表征。
Motivated by classical notions of bilinear matrix inequalities (BMIs) and partial convexity, this article investigates partial convexity for noncommutative functions. It is shown that noncommutative rational functions that are partially convex admit novel butterfly-type realizations that necessitate square roots. The notion of xy-convexity, a strengthening of partial convexity arising in connection with BMIs, is also considered. A characterization of xy-convex polynomials is given.
