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Plots related to subgradient optimization
Proceedings of seventh international conference on APL - APL '75, 1975The subgradient optimization procedure used first by Held and Karp for the travelling salesman problem and refined by Held Wolfe and Crowder in a recent paper, seems to be effective for many mathematical programming problems. In this paper some plots related to the concave function to be maximized in the subgradient method are suggested, in order to ...
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1985
Let f be a convex function defined on E n . The subgradient method is an algorithm which generates a sequence \(\{{x_k}\}_{k = 0}^\infty\) according to the formula $${x_{k + 1}} = {x_k} - {h_{k + 1}}\,({x_k})\,gf(x_k^{\rm{r}}),$$ (2.1) where x0 is a given starting point.
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Let f be a convex function defined on E n . The subgradient method is an algorithm which generates a sequence \(\{{x_k}\}_{k = 0}^\infty\) according to the formula $${x_{k + 1}} = {x_k} - {h_{k + 1}}\,({x_k})\,gf(x_k^{\rm{r}}),$$ (2.1) where x0 is a given starting point.
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Generalized Subgradients in Mathematical Programming
1983Mathematical programming problems, and the techniques used in solving them, naturally involve functions that may well fail to be differentiable. Such functions often have “subdifferential” properties of a sort not covered in classical analysis, but which provide much information about local behavior.
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Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities
Journal of Scientific Computing, 2022Yonghong Yao +2 more
exaly
Nonlinear Analysis: Theory, Methods & Applications, 1993
Ray Redheffer, Wolfgang Walter
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Ray Redheffer, Wolfgang Walter
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Conditional subgradient optimization — Theory and applications
European Journal of Operational Research, 1996Torbjörn Larsson +2 more
exaly
Incremental Stochastic Subgradient Algorithms for Convex Optimization
SIAM Journal on Optimization, 2009S Sundhar Ram, Angelia Nedic
exaly
Stochastic Subgradient Method Converges on Tame Functions
Foundations of Computational Mathematics, 2019Damek Davis +2 more
exaly
Heterogeneous Distributed Subgradient
2024 American Control Conference (ACC)Yixuan Lin, Marco Gamarra, Ji Liu
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A Dynamic Subgradient-Based Branch-and-Bound Procedure for Set Covering
Operations Research, 1996Egon Balas
exaly