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MPC
2015
Springer
9views Mathematics» more  MPC 2015»
8 years 7 months ago
The strength of multi-row models
We develop a method for computing facet-defining valid inequalities for any mixed-integer set PJ . While our practical implementation does not return only facet-defining inequal...
Quentin Louveaux, Laurent Poirrier, Domenico Salva...
MPC
2015
Springer
13views Mathematics» more  MPC 2015»
8 years 7 months ago
Solving network design problems via iterative aggregation
In this work, we present an exact approach for solving network design problems that is based on an iterative graph aggregation procedure. The scheme allows existing preinstalled c...
Andreas Bärmann, Frauke Liers, Alexander Mart...
MPC
2015
Springer
26views Mathematics» more  MPC 2015»
8 years 7 months ago
A parallel quadratic programming method for dynamic optimization problems
Quadratic programming problems (QPs) that arise from dynamic optimization problems typically exhibit a very particular structure. We address the ubiquitous case where these QPs are...
Janick V. Frasch, Sebastian Sager, Moritz Diehl
MPC
2015
Springer
11views Mathematics» more  MPC 2015»
8 years 7 months ago
On solving a hard quadratic 3-dimensional assignment problem
Abstract We address the solution of a very challenging (and previously unsolved) instance of the quadratic 3-dimensional assignment problem, arising in digital wireless communicati...
Hans D. Mittelmann, Domenico Salvagnin
MPC
2015
Springer
11views Mathematics» more  MPC 2015»
8 years 7 months ago
On fast trust region methods for quadratic models with linear constraints
: Quadratic models Qk(x), x ∈ Rn , of the objective function F(x), x∈Rn , are used by many successful iterative algorithms for minimization, where k is the iteration number. Gi...
M. J. D. Powell
MPC
2015
Springer
22views Mathematics» more  MPC 2015»
8 years 7 months ago
Generalized alternating direction method of multipliers: new theoretical insights and applications
Recently, the alternating direction method of multipliers (ADMM) has received intensive attention from a broad spectrum of areas. The generalized ADMM (GADMM) proposed by Eckstein ...
Ethan X. Fang, Bingsheng He, Han Liu, Xiaoming Yua...
MPC
2015
Springer
12views Mathematics» more  MPC 2015»
8 years 7 months ago
Methods for convex and general quadratic programming
Philip E. Gill, Elizabeth Wong
MPC
2015
Springer
13views Mathematics» more  MPC 2015»
8 years 7 months ago
A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees
We present a line search algorithm for minimizing nonconvex and/or nonsmooth objective functions. The algorithm is a hybrid between a standard Broyden-Fletcher-Goldfarb-Shanno (BFG...
Frank E. Curtis, Xiaocun Que
MPC
2015
Springer
18views Mathematics» more  MPC 2015»
8 years 7 months ago
Hierarchy in Generic Programming Libraries
Generic programming (GP) is a form of abstraction in programming languages that serves to reduce code duplication by exploiting the regular structure of algebraic datatypes. Severa...
José Pedro Magalhães, Andres Lö...
MPC
2015
Springer
23views Mathematics» more  MPC 2015»
8 years 7 months ago
Polynomial Functors Constrained by Regular Expressions
We show that every regular language, via some DFA which accepts it, gives rise to a homomorphism from the semiring of polynomial functors to the semiring of n×n matrices over poly...
Dan Piponi, Brent A. Yorgey