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Numerical Functional Analysis and Optimization Volume 17, 1996 - Issue 3-4
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Original Articles

Convergence analysis of a proximal newton method Footnote1

Analysis of a proximal newton method

Z. Wei School of Mathematics, University of New South Wales, Sydney, Nsw 2052, Australia
&
L. Ql School of Mathematics, University of New South Wales, Sydney, Nsw 2052, Australia
Pages 463-472 | Published online: 15 May 2007

Citations (15)

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Read on this site (1)

Gonglin Yuan & Zengxin Wei. (2012) The Barzilai and Borwein Gradient Method with Nonmonotone Line Search for Nonsmooth Convex Optimization Problems. Mathematical Modelling and Analysis 17:2, pages 203-216.
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Articles from other publishers (14)

Salar Farahmand-Tabar, Fahimeh Abdollahi & Masoud Fatemi. 2023. Handbook of Formal Optimization. Handbook of Formal Optimization 1 25 .
Wei Peng, Hui Zhang, Xiaoya Zhang & Lizhi Cheng. (2020) Global complexity analysis of inexact successive quadratic approximation methods for regularized optimization under mild assumptions. Journal of Global Optimization 78:1, pages 69-89.
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Tsegay Giday Woldu, Haibin Zhang, Xin Zhang & Yemane Hailu Fissuh. (2020) A Modified Nonlinear Conjugate Gradient Algorithm for Large-Scale Nonsmooth Convex Optimization. Journal of Optimization Theory and Applications 185:1, pages 223-238.
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Gonglin Yuan, Zehong Meng & Yong Li. (2015) A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations. Journal of Optimization Theory and Applications 168:1, pages 129-152.
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Gonglin Yuan, Zengxin Wei & Guoyin Li. (2014) A modified Polak–Ribière–Polyak conjugate gradient algorithm for nonsmooth convex programs. Journal of Computational and Applied Mathematics 255, pages 86-96.
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Gonglin Yuan, Zengxin Wei & Zhongxing Wang. (2012) Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization. Computational Optimization and Applications 54:1, pages 45-64.
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Sha Lu, Zengxin Wei & Lue Li. (2010) A trust region algorithm with adaptive cubic regularization methods for nonsmooth convex minimization. Computational Optimization and Applications 51:2, pages 551-573.
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Alexander Kaplan & Rainer Tichatschke. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 1556 1561 .
Guoyin Li, Chunming Tang & Zengxin Wei. (2007) New conjugacy condition and related new conjugate gradient methods for unconstrained optimization. Journal of Computational and Applied Mathematics 202:2, pages 523-539.
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Qing-jun Wu & Zeng-xin Wei. (2007) Some new step-size rules for optimization problems. Journal of Shanghai University (English Edition) 11:2, pages 135-141.
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Li-Ping Pang, Jie Shen & Wei Wang. (2007) Two parallel distribution algorithms for convex constrained minimization problems. Applied Mathematics and Computation 186:2, pages 1762-1771.
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Yves Lucet. (2007) Fast Moreau envelope computation I: numerical algorithms. Numerical Algorithms 43:3, pages 235-249.
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Y. R. He. (2001) Minimizing and Stationary Sequences of Convex Constrained Minimization Problems. Journal of Optimization Theory and Applications 111:1, pages 137-153.
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Alexander Kaplan & Rainer Tichatschke. 2001. Encyclopedia of Optimization. Encyclopedia of Optimization 993 997 .

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