# Nonnegative matrix factorization

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(New page: Given rank-2 nonnegative matrix <math>X=\!\left[\!\begin{array}{ccc}17&28&42\\ 16&47&51\\ 17&82&72\end{array}...)

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## Revision as of 14:18, 28 September 2009

Given rank-2 nonnegative matrix

find a nonnegative factorization by solving

which follows from the fact, at optimality,

Use the known closed-form solution for a direction vector to regulate rank (rank constraint is replaced) by convex iteration;

set to an ordered diagonalization and , then