The CP-Matrix Completion Problem
نویسندگان
چکیده
A symmetric matrix A is completely positive (CP) if there exists an entrywise nonnegative matrix B such that A = BB . We characterize the interior of the CP cone. We formulate the problem as linear optimizations with cones of moments. A semidefinite algorithm is proposed for checking interiors of the CP cone, and its properties are studied. A CP-decomposition of a matrix in Dickinson’s form can be obtained if it is an interior of the CP cone. Some computational experiments are also presented. Tuesday, May 27, 2014 11:00 AM AP&M 2402 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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عنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 35 شماره
صفحات -
تاریخ انتشار 2014