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arXiv · 2212.02979

Linear preservers of copositive and completely positive matrices

Sachindranath Jayaraman·Vatsalkumar N. Mer
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Abstract

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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Sachindranath Jayaraman, Vatsalkumar N. Mer. 2023-03-05. Linear preservers of copositive and completely positive matrices. https://arxiv.org/abs/2212.02979

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