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SIAMJO
2008
79views more  SIAMJO 2008»
13 years 11 months ago
A Class of Inexact Variable Metric Proximal Point Algorithms
For the problem of solving maximal monotone inclusions, we present a rather general class of algorithms, which contains hybrid inexact proximal point methods as a special case and ...
Lisandro A. Parente, Pablo A. Lotito, Mikhail V. S...
SIAMJO
2008
95views more  SIAMJO 2008»
13 years 11 months ago
Geometric Duality in Multiple Objective Linear Programming
We develop in this article a geometric approach to duality in Multiple Objective Linear Programming. This approach is based on a very old idea, the duality of polytopes, which can...
Frank Heyde, Andreas Löhne
SIAMJO
2008
108views more  SIAMJO 2008»
13 years 11 months ago
Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
This paper discusses how to find the global minimum of functions that are summations of small polynomials ("small" means involving a small number of variables). Some spa...
Jiawang Nie, James Demmel
SIAMJO
2008
212views more  SIAMJO 2008»
13 years 11 months ago
Convergence Rate of an Optimization Algorithm for Minimizing Quadratic Functions with Separable Convex Constraints
A new active set algorithm for minimizing quadratic functions with separable convex constraints is proposed by combining the conjugate gradient method with the projected gradient. ...
Radek Kucera
SIAMJO
2008
175views more  SIAMJO 2008»
13 years 11 months ago
On Bin Packing with Conflicts
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
Leah Epstein, Asaf Levin
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 11 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
SIAMJO
2008
74views more  SIAMJO 2008»
13 years 11 months ago
Lagrangian-Dual Functions and Moreau--Yosida Regularization
In this paper, we consider the Lagrangian dual problem of a class of convex optimization problems. We first discuss the semismoothness of the Lagrangian-dual function . This prope...
Fanwen Meng, Gongyun Zhao, Mark Goh, Robert de Sou...
SIAMJO
2008
114views more  SIAMJO 2008»
13 years 11 months ago
An Inexact SQP Method for Equality Constrained Optimization
We present an algorithm for large-scale equality constrained optimization. The method is based on a characterization of inexact sequential quadratic programming (SQP) steps that ca...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal
SIAMJO
2008
93views more  SIAMJO 2008»
13 years 11 months ago
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint