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SIAMJO
2000
88views more  SIAMJO 2000»
13 years 11 months ago
A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems
Abstract. We propose a BFGS primal-dual interior point method for minimizing a convex function on a convex set defined by equality and inequality constraints. The algorithm generat...
Paul Armand, Jean Charles Gilbert, Sophie Jan-J&ea...
SIAMCO
2000
110views more  SIAMCO 2000»
13 years 11 months ago
On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
Felipe Alvarez
SIAMJO
2008
143views more  SIAMJO 2008»
13 years 11 months ago
The Proximal Average: Basic Theory
Abstract. The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study th...
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianf...
MP
2008
101views more  MP 2008»
13 years 11 months ago
Accelerating the cubic regularization of Newton's method on convex problems
In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz...
Yu. Nesterov
INFOCOM
2007
IEEE
14 years 5 months ago
Stochastic Ordering for Internet Congestion Control and its Applications
— Window growth function for congestion control is a strong determinant of protocol behaviors, especially its second and higher-order behaviors associated with the distribution o...
Han Cai, Do Young Eun, Sangtae Ha, Injong Rhee, Li...