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| SOME REMARKS ON COMPLETELY POSITIVE MATRICES AND COMPLETELY POSITIVE GRAPHS | |
| 基金项目： | Supported by the Foundation of Science，Art of Central South University of Technology |
| 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 that |
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