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arxiv: 1512.05384 · v3 · pith:6IAJHV44new · submitted 2015-12-13 · 🧮 math.RA · math.FA· math.OC

Product of two positive contractions

classification 🧮 math.RA math.FAmath.OC
keywords positiveproductprojectionscharacterizationsgivenmatrixwrittenalternating
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Several characterizations are given for a square matrix that can be written as the product of two positive (semidefinite) projections. Based on one of these characterizations, and the theory of alternating projections, a Matlab program is written to check the condition and construct the two positive projections whose product equal to the given matrix, if they exist.

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