An Adaptive Nonmonotone Projected Barzilai-Borwein Gradient Method with Active Set Prediction for Nonnegative Matrix Factorization

DOI10.4208/nmtma.OA-2019-0028zbMath1463.65102OpenAlexW3083545225MaRDI QIDQ5143952

Xuenian Liu, Wenbo Li, Ji-Cheng Li

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0028

zbMATH Keywords

active setadaptive nonmonotone line searchprojected Barzilai-Borwein methodlarger step sizemodified Barzilai-Borwein step size

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical mathematical programming methods (65K05) Numerical linear algebra (65F99)

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A new nonmonotone spectral projected gradient algorithm for box-constrained optimization problems in \(m \times n\) real matrix space with application in image clustering ⋮ An alternating nonmonotone projected Barzilai-Borwein algorithm of nonnegative factorization of big matrices

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