A class of modified FR conjugate gradient method and applications to non-negative matrix factorization

DOI10.1016/j.camwa.2016.11.017zbMath1368.65097OpenAlexW2567381933MaRDI QIDQ2013810

Wen Zhang, Xiao Liang Dong, Xiang-Li Li

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.017

zbMATH Keywords

Armijo-type line searchnon-negative matrix factorizationmodified Fletcher-Reeves conjugate gradient method

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10)

Related Items (9)

Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination ⋮ An Accelerated Three-Term Extension of a Descent Nonlinear Conjugate Gradient Method ⋮ Nonmonotone quasi-Newton-based conjugate gradient methods with application to signal processing ⋮ A descent extension of a modified Polak-Ribière-Polyak method with application in image restoration problem ⋮ An efficient adaptive three-term extension of the Hestenes–Stiefel conjugate gradient method ⋮ An alternating nonmonotone projected Barzilai-Borwein algorithm of nonnegative factorization of big matrices ⋮ Active set type algorithms for nonnegative matrix factorization in hyperspectral unmixing ⋮ A nonmonotone scaled Fletcher-Reeves conjugate gradient method with application in image reconstruction ⋮ Dai-Liao extensions of a descent hybrid nonlinear conjugate gradient method with application in signal processing

Cites Work

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• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• Learning the parts of objects by non-negative matrix factorization
• Projected Gradient Methods for Nonnegative Matrix Factorization
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems

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