Building a completely positive factorization

@inproceedings{Bomze2018BuildingAC,
  title={Building a completely positive factorization},
  author={Immanuel M. Bomze},
  booktitle={CEJOR},
  year={2018}
}

• Immanuel M. Bomze
• Published in CEJOR 2018
• DOI:10.1007/s10100-017-0499-2

A symmetric matrix of order n is called completely positive if it has a symmetric factorization by means of a rectangular matrix with n columns and no negative entries (a so-called cp factorization), i.e., if it can be interpreted as a Gram matrix of n directions in the positive orthant of another Euclidean space of possibly different dimension. Finding this factor therefore amounts to angle packing and finding an appropriate embedding dimension. Neither the embedding dimension nor the… CONTINUE READING

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