Merritt, MichaelZhang, Yin2018-06-182018-06-182004-05Merritt, Michael and Zhang, Yin. "An Interior-Point Gradient Method for Large-Scale Totally Nonnegative Least Squares Problems." (2004) <a href="https://hdl.handle.net/1911/102020">https://hdl.handle.net/1911/102020</a>.https://hdl.handle.net/1911/102020We 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 some existing methods including the affine scaling method.10 ppengTechnical reportTR04-08