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# Closed convex function

In mathematics, a function is said to be closed if for each , the sublevel set is a closed set. Equivalently, if the epigraph defined by is closed… Expand
Wikipedia

## Papers overview

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2019
2019
• SIAM J. Optim.
• 2019
• Corpus ID: 117728691
In this paper, we study accelerated Regularized Newton Methods for minimizing objectives formed as a sum of two functions: one is… Expand
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2019
2019
• Xudong Li
• Math. Program.
• 2019
• Corpus ID: 724294
For a symmetric positive semidefinite linear system of equations $$\mathcal{Q}{{\varvec{x}}}= {{\varvec{b}}}$$Qx=b, where… Expand
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2018
2018
• Comp. Opt. and Appl.
• 2018
• Corpus ID: 4339491
We consider a class of difference-of-convex (DC) optimization problems whose objective is level-bounded and is the sum of a… Expand
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2017
2017
• Comp. Opt. and Appl.
• 2017
• Corpus ID: 5933149
In this paper, we further study the forward–backward envelope first introduced in Patrinos and Bemporad (Proceedings of the IEEE… Expand
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2017
2017
• SIAM J. Optim.
• 2017
• Corpus ID: 42412913
In this paper, we study the proximal gradient algorithm with extrapolation for minimizing the sum of a Lipschitz differentiable… Expand
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2013
2013
Given x0, a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every… Expand
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Review
2009
Review
2009
Computational convex analysis algorithms have been rediscovered several times in the past by researchers from different fields… Expand
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2005
2005
• Math. Oper. Res.
• 2005
• Corpus ID: 11568399
In order to minimize a closed convex function that is approximated by a sequence of better behaved functions, we investigate the… Expand
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Highly Cited
2005
Highly Cited
2005
Let $\Phi_0:\mathbb{R}^n\to \mathbb{R}\cup \{+\infty\}$ be a closed convex function and $\Phi_1:\mathbb{R}^n\to \mathbb{R}$ be a… Expand
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1996
1996
Let X be a real Hilbert space endowed with inner product 〈., .〉 and associated norm ‖.‖, and let f be a proper closed convex… Expand
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