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SOME REMARKS ON COMPLETELY POSITIVE MATRICES AND COMPLETELY POSITIVE GRAPHS

SOME REMARKS ON COMPLETELY POSITIVE MATRICES AND COMPLETELY POSITIVE GRAPHS
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摘要 The completely positive matrices are important in the study of block designs arizing incombinatorial analysis (see [11])and are related to copositive matrices,which have appli-cations in control theory and in multimobical programming (see [12]).An n×n matrix A is said to be completely positive if A can be factored as A=BB^T forsome n×m real matrix B with nonnegative entries for some m【∞.If A is a completelypositive matrix,then the smallest number of columns in a nonnegative matrix B such
基金 Supported by the Foundation of Science Art of Central South University of Technology
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  • 1Ky Fan.Topological proofs for certain theorems on matrices with non-negative elements[J].Monatshefte für Mathematik.1958(3)
  • 2Ando,T.Completely positive matrices,Preprint[]..1991

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