论文标题

共同矩阵和完全正矩阵的线性保存器

Linear preservers of copositive and completely positive matrices

论文作者

Jayaraman, Sachindranath, Mer, Vatsalkumar N.

论文摘要

本手稿的目的是了解真实对称矩阵$ \ MATHCAL {s}^n $的结构,它使不变的封闭凸锥的共呈态和完全正面的矩阵($ cop_n $和$ cp_n $)。 $ \ Mathcal {s}^2 $上的可逆线性映射的描述,以便完全确定$ l(cp_2)\ subset cp_2 $。

The objective of this manuscript is to understand the structure of an invertible linear map on the space of real symmetric matrices $\mathcal{S}^n$ that leaves invariant the closed convex cones of copositive and completely positive matrices ($COP_n$ and $CP_n$). A description of an invertible linear map on $\mathcal{S}^2$ such that $L(CP_2) \subset CP_2$ is completely determined.

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