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Testing a matrix on copositivity is a topic of recent interest and practical importance in optimization modeling. In this paper, we present a some constructive characterizations for a class of copositive matrices with certain spectral properties. The characterizations is based onto the orthogonal projection of the nonnegative orthant onto the subspace spanned by the eigenvectors of a given indefinite matrix. Moreover, we give a new necessary conditions for copositive matrices.
How to Cite this Article:
Mourad Naffouti, Abdeljelil Baccari, Characterization of a class of copositive matrices, Communications in Optimization Theory 2016 (2016), Article ID 9.