Alternating projected Barzilai-Borwein methods for nonnegative matrix factorization

zbMath1191.65020MaRDI QIDQ964122

Lixing Han, Upendra Prasad, Michael Neumann

Publication date: 14 April 2010

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224707

zbMATH Keywords

algorithmsnumerical resultsnonmonotone line searchnonnegative matrix factorizationsmoothing matrixnonnegative least squares problemprojected Barzilai-Borwein method

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Nonlinear programming (90C30) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (10)

An efficient nonmonotone projected Barzilai–Borwein method for nonnegative matrix factorization with extrapolation ⋮ Efficient Nonnegative Matrix Factorization Via Modified Monotone Barzilai-Borwein Method with Adaptive Step Sizes Strategy ⋮ A new nonmonotone spectral projected gradient algorithm for box-constrained optimization problems in \(m \times n\) real matrix space with application in image clustering ⋮ Quadratic regularization projected Barzilai-Borwein method for nonnegative matrix factorization ⋮ A proximal ANLS algorithm for nonnegative tensor factorization with a periodic enhanced line search. ⋮ An alternating nonmonotone projected Barzilai-Borwein algorithm of nonnegative factorization of big matrices ⋮ Iterative algorithm for the Q-weighted nonnegative matrix factorization ⋮ Numerical method for the generalized nonnegative tensor factorization problem ⋮ Algorithms for nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent framework ⋮ An efficient monotone projected Barzilai-Borwein method for nonnegative matrix factorization

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