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arXiv · 1411.0795

The CP-matrix Approximation Problem

Jinyan Fan·Anwa Zhou
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Abstract

A symmetric matrix $A$ is completely positive (CP) if there exists an entrywise nonnegative matrix $V$ such that $A = V V ^T$. In this paper, we study the CP-matrix approximation problem of projecting a matrix onto the intersection of a set of linear constraints and the cone of CP matrices. We formulate the problem as the linear optimization with the norm cone and the cone of moments. A semidefinite algorithm is presented for the problem. A CP-decomposition of the projection matrix can also be obtained if the problem is feasible.

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Jinyan Fan, Anwa Zhou. 2014-11-04. The CP-matrix Approximation Problem. https://arxiv.org/abs/1411.0795

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