The cone of \(5 \times 5\) completely positive matrices
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Publication:6191441
DOI10.1007/s00454-023-00620-yarXiv2108.11928OpenAlexW3194475752MaRDI QIDQ6191441
José Alejandro Samper, Max Pfeffer
Publication date: 9 February 2024
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11928
completely positive matricesnonnegative matrix factorizationconvex algebraic geometrycopositive optimizationgeometry of convex cones
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Cites Work
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- From seven to eleven: completely positive matrices with high cp-rank
- An improved algorithm to test copositivity
- The extreme rays of the \(5 \times 5\) copositive cone
- The structure of completely positive matrices according to their CP-rank and CP-plus-rank
- HomotopyContinuation.jl: a package for homotopy continuation in Julia
- Completely positive matrices: real, rational, and integral
- The extreme rays of the \(6\times 6\) copositive cone
- A factorization method for completely positive matrices
- Numerical implicitization: a Macaulay2 package
- On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix
- Nonnegative polynomials and sums of squares
- Manopt, a Matlab toolbox for optimization on manifolds
- An improved characterisation of the interior of the completely positive cone
- Open problems in the theory of completely positive and copositive matrices
- Some NP-complete problems in quadratic and nonlinear programming
- On the Matrix Equation X′X = A
- Algebraic boundaries of Hilbert’s SOS cones
- Uniqueness of Nonnegative Matrix Factorizations by Rigidity Theory
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