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… (More)
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Topic mentions per year

1974-2017
02419742017

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2017
2017
For a symmetric positive semidefinite linear system of equations Qx = b, where x = (x1, . . . , xs) is partitioned into s blocks… (More)
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2017
2017
We propose a fast first-order method to solve multi-term nonsmooth composite convex minimization problems by employing a recent… (More)
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2017
2017
In this paper, we study the proximal gradient algorithm with extrapolation for minimizing the sum of a Lipschitz differentiable… (More)
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2011
2011
A corollary of a celebrated theorem of Minty is that the subdifferential graph of a closed convex function on Rn has uniform… (More)
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2011
2011
Given x0, a point of a convex subset C of an Euclidean space, the two following statements are proven to be equivalent: (i) any… (More)
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2005
2005
In order to minimize a closed convex function that is approximated by a sequence of better behaved functions, we investigate the… (More)
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2005
2005
Let Φ0 : Rn → R ∪ {+∞} be a closed convex function and Φ1 : Rn → R be a finite convex function that are bounded from below. Our… (More)
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Highly Cited
2002
Highly Cited
2002
We study a class of generalized bundle methods where the stabilizing term can be any closed convex function satisfying certain… (More)
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1996
1996
The asymptotical limit of the trajectory deened by the continuous steepest descent method for a proper closed convex function f… (More)
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Highly Cited
1974
Highly Cited
1974
  • R Tyrrell Rockafellar
  • 1974
Kuhn-Tucker condition (0, 0) e dK(x, y) into a more explicit and familiar form. Writing where -k(y) = /0(x) + ylfl(x… (More)
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