Interior-point gradient method for large-scale totally nonnegative least squares problems

Interior-point gradient method for large-scale totally nonnegative least squares problems

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Article ID: iaor2006371
Country: Germany
Volume: 126
Issue: 1
Start Page Number: 191
End Page Number: 202
Publication Date: Jun 2005
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: interior point methods
Abstract:

We study an interior-point gradient method for solving a class of so-called totally nonnegative least-squares problems. At each iteration, the method decreases the residual norm along a diagonally-scaled negative gradient direction with a special scaling. We establish the global convergence of the method and present some numerical examples to compare the proposed method with a few similar methods including the affine scaling method.

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