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Author (up) Behling, R.; Lara, H.; Oviedo, H. doi  openurl
  Title Computing the completely positive factorization via alternating minimization Type
  Year 2023 Publication Numerical Linear Algebra with Applications Abbreviated Journal Numer. Linear Algebra Appl.  
  Volume Early Access Issue Pages  
  Keywords completely positive factorization; matrix factorization; nonconvex optimization; orthogonal group; Stiefel manifold  
  Abstract In this article, we propose a novel alternating minimization scheme for finding completely positive factorizations. In each iteration, our method splits the original factorization problem into two optimization subproblems, the first one being an orthogonal procrustes problem, which is taken over the orthogonal group, and the second one over the set of entrywise positive matrices. We present both a convergence analysis of the method and favorable numerical results.  
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  ISSN 1070-5325 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:001074755300001 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1894  
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