Nonnegative factorization of positive semidefinite nonnegative matrices |
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| Authors: | LJ Gray DG Wilson |
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| Institution: | Mathematics and Statistics Research Department Computer Sciences Division Union Carbide Corporation, Nuclear Division Oak Ridge, Tennessee 37830, USA |
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| Abstract: | We give simple geometric proofs of the known results that, for n ?4, n × n nonnegative positive semidefinite matrices can be factored into n × n nonnegative factors and that, for n ? 5, these conditions are not sufficient to guarantee the existence of such a factorization. |
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