非交换部分凸有理函数
Noncommutative partially convex rational functions
摘要：
受经典的双线性矩阵不等式和部分凸性概念的启发，本文研究了非交换函数的部分凸性。它表明，非交换的有理函数是部分凸承认新的蝴蝶型实现，需要平方根。xy-凸性的概念，加强部分凸性所产生的与BMI，也被认为是。给出了xy-凸多项式的一个刻划。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
