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Keyword

proximal point algorithm

Description: An iterative optimization method that solves convex problems by repeatedly minimizing an objective with a distance-based penalty around the current point.
OpenAlex ID: keywords/proximal-point-algorithm
Monotone Operators and the Proximal Point Algorithm
1976 · R. Tyrrell Rockafellar · SIAM Journal on Control and Optimization · 3,566
On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators
1992 · Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming · 2,792
Iterative Algorithms for Nonlinear Operators
2002 · Hong-Kun Xu · Journal of the London Mathematical Society · 1,668
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
1976 · R. T. Rockafellar · Mathematics of Operations Research · 1,175
An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping
2001 · Felipe Alvarez, Hedy Attouch · Set-Valued Analysis · 805
On the Convergence of the Proximal Point Algorithm for Convex Minimization
1991 · Osman Güler · SIAM Journal on Control and Optimization · 681
On the convergence of the block nonlinear Gauss–Seidel method under convex constraints
2000 · L. Grippo, M. Sciandrone · Operations Research Letters · 678
Strong Convergence of a Proximal-Type Algorithm in a Banach Space
2002 · Shoji Kamimura, Wataru Takahashi · SIAM Journal on Optimization · 657
Hankel Matrix Rank Minimization with Applications to System Identification and Realization
2013 · Maryam Fazel, Ting Kei Pong, et al. · SIAM Journal on Matrix Analysis and Applications · 486
Chapter IX Applications of the Method of Multipliers to Variational Inequalities
1983 · D. Gabay · Studies in mathematics and its applications · 420
Strong convergence of the CQ method for fixed point iteration processes
2005 · Carlos Martinez-Yanes, Hong-Kun Xu · Nonlinear Analysis · 339
Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
2004 · Felipe Alvarez · SIAM Journal on Optimization · 337
Forcing strong convergence of proximal point iterations in a Hilbert space
2000 · M.V. Solodov, B.F. Svaiter · Mathematical Programming · 334
A Globally Convergent Inexact Newton Method for Systems of Monotone Equations
1998 · Michael V. Solodov, Benav F. Svaiter · Applied optimization · 327
Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
1993 · Jonathan Eckstein · Mathematics of Operations Research · 324
Proximal Point Algorithm On Riemannian Manifolds
2002 · O. P. Ferreira, P. R. Oliveira · Optimization · 319
Convergence Rates in Forward--Backward Splitting
1997 · George H-G. Chen, R. T. Rockafellar · SIAM Journal on Optimization · 285
Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
2000 · Shoji Kamimura, Wataru Takahashi · Journal of Approximation Theory · 269
Monotone vector fields and the proximal point algorithm on Hadamard manifolds
2009 · Chong Li, Genaro López, et al. · Journal of the London Mathematical Society · 261
Convergence of some algorithms for convex minimization
1993 · Rafael Correa, Claude Lemaréchal · Mathematical Programming · 248
A Hybrid Approximate Extragradient – Proximal Point Algorithm Using the Enlargement of a Maximal Monotone Operator
1999 · M. V. Solodov, B. F. Svaiter · Set-Valued Analysis · 242
Projection and proximal point methods: convergence results and counterexamples
2003 · Heinz H. Bauschke, Eva Matoušková, et al. · Nonlinear Analysis · 234
New Proximal Point Algorithms for Convex Minimization
1992 · Osman Güler · SIAM Journal on Optimization · 231
Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities
2002 · B. S. He, L. Z. Liao · Journal of Optimization Theory and Applications · 229
Convergence Rate Analysis of Several Splitting Schemes
2016 · Damek Davis, Wotao Yin · Scientific computation · 206
Works count: 1,574
Citation count: 34,780
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