The Cone of $$5\times 5$$ Completely Positive Matrices
The Cone of $$5\times 5$$ Completely Positive Matrices
Abstract We study the cone of completely positive (cp) matrices for the first interesting case $$n = 5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>=</mml:mo> <mml:mn>5</mml:mn> </mml:mrow> </mml:math> . This is a semialgebraic set for which the polynomial equalities and inequlities that define its boundary can be derived. We characterize the different …