Proximal level bundle methods for convex nondifferentiable optimization, saddle-point problems and variational inequalities

Krzysztof C. Kiwiel

doi:10.1007/bf01585554

Proximal level bundle methods for convex nondifferentiable optimization, saddle-point problems and variational inequalities

Mathematical Programming ◽

10.1007/bf01585554 ◽

1995 ◽

Vol 69 (1-3) ◽

pp. 89-109 ◽

Cited By ~ 20

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Nondifferentiable Optimization ◽

Bundle Methods ◽

Saddle Point Problems ◽

Convex Nondifferentiable Optimization

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On well-structured convex–concave saddle point problems and variational inequalities with monotone operators

Optimization Methods and Software ◽

10.1080/10556788.2021.1928121 ◽

2021 ◽

pp. 1-36

Author(s):

Anatoli Juditsky ◽

Arkadi Nemirovski

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Monotone Operators ◽

Saddle Point Problems

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Algorithms for Solving Variational Inequalities and Saddle Point Problems with Some Generalizations of Lipschitz Property for Operators

10.1007/978-3-030-86433-0_6 ◽

2021 ◽

pp. 86-101

Author(s):

Alexander A. Titov ◽

Fedor S. Stonyakin ◽

Mohammad S. Alkousa ◽

Alexander V. Gasnikov

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Saddle Point Problems ◽

Lipschitz Property

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Decomposition Techniques for Bilinear Saddle Point Problems and Variational Inequalities with Affine Monotone Operators

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0949-3 ◽

2016 ◽

Vol 172 (2) ◽

pp. 402-435 ◽

Cited By ~ 4

Author(s):

Bruce Cox ◽

Anatoli Juditsky ◽

Arkadi Nemirovski

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Monotone Operators ◽

Decomposition Techniques ◽

Saddle Point Problems

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Applications of order-clustered fixed point theorems to generalized saddle point problems and preordered variational inequalities

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2014-191 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 191

Author(s):

Linsen Xie ◽

Jinlu Li ◽

Wenshan Yang

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Saddle Point ◽

Fixed Point Theorems ◽

Saddle Point Problems ◽

Generalized Saddle Point Problems

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Prox-Method with Rate of Convergence O(1/t) for Variational Inequalities with Lipschitz Continuous Monotone Operators and Smooth Convex-Concave Saddle Point Problems

SIAM Journal on Optimization ◽

10.1137/s1052623403425629 ◽

2004 ◽

Vol 15 (1) ◽

pp. 229-251 ◽

Cited By ~ 199

Author(s):

Arkadi Nemirovski

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Rate Of Convergence ◽

Monotone Operators ◽

Smooth Convex ◽

Saddle Point Problems ◽

Lipschitz Continuous

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A comparison of methods to solve saddle point problems in economic models

Chan, F., Marinova, D. and Anderssen, R.S. (eds) MODSIM2011, 19th International Congress on Modelling and Simulation. ◽

10.36334/modsim.2011.d3.herbert ◽

2011 ◽

Keyword(s):

Saddle Point ◽

Economic Models ◽

Comparison Of Methods ◽

Saddle Point Problems

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Structured backward error analysis for a class of block three-by-three saddle point problems

Numerical Algorithms ◽

10.1007/s11075-021-01179-6 ◽

2021 ◽

Author(s):

Peng Lv ◽

Bing Zheng

Keyword(s):

Error Analysis ◽

Saddle Point ◽

Backward Error Analysis ◽

Saddle Point Problems ◽

Backward Error

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An Inexact Double Primal-Dual Algorithm for Saddle Point Problems

Journal of Physics Conference Series ◽

10.1088/1742-6596/1871/1/012098 ◽

2021 ◽

Vol 1871 (1) ◽

pp. 012098

Author(s):

Changjie Fang ◽

Jingyu Chen

Keyword(s):

Saddle Point ◽

Saddle Point Problems ◽

Dual Algorithm ◽

Primal Dual

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Modified unsymmetric SOR method for saddle-point problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.061 ◽

2014 ◽

Vol 234 ◽

pp. 584-598 ◽

Cited By ~ 7

Author(s):

Zhao-Zheng Liang ◽

Guo-Feng Zhang

Keyword(s):

Saddle Point ◽

Saddle Point Problems ◽

Sor Method

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The corrected Uzawa method for solving saddle point problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.1983 ◽

2015 ◽

Vol 22 (4) ◽

pp. 717-730 ◽

Cited By ~ 8

Author(s):

C. F. Ma ◽

Q. Q. Zheng

Keyword(s):

Saddle Point ◽

Uzawa Method ◽

Saddle Point Problems

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