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arXiv · 1406.1008

Multiplicative Iteration for Nonnegative Quadratic Programming

Xiao Xiao·Donghui Chen
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Abstract

In many applications, it makes sense to solve the least square problems with nonnegative constraints. In this article, we present a new multiplicative iteration that monotonically decreases the value of the nonnegative quadratic programming (NNQP) objective function. This new algorithm has a simple closed form and is easily implemented on a parallel machine. We prove the global convergence of the new algorithm and apply it to solving image super-resolution and color image labelling problems. The experimental results demonstrate the effectiveness and broad applicability of the new algorithm.

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Xiao Xiao, Donghui Chen. 2014-06-04. Multiplicative Iteration for Nonnegative Quadratic Programming. https://arxiv.org/abs/1406.1008

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