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ALGORITHMICA
2010
104views more  ALGORITHMICA 2010»
13 years 9 months ago
Fixed-Parameter Approximation: Conceptual Framework and Approximability Results
The notion of fixed-parameter approximation is introduced to investigate the approximability of optimization problems within the framework of fixed-parameter computation. This work...
Liming Cai, Xiuzhen Huang
CP
2005
Springer
14 years 2 months ago
Sub-optimality Approximations
Abstract. The sub-optimality approximation problem considers an optimization problem O, its optimal solution σ∗ , and a variable x with domain {d1, . . . , dm} and returns appro...
Russell Bent, Irit Katriel, Pascal Van Hentenryck
SIAMCO
2002
121views more  SIAMCO 2002»
13 years 8 months ago
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
As shown in [7], optimal control problems with either ODE or PDE dynamics can be solved efficiently using a setting of consistent approximations obtained by numerical discretizati...
Olivier Pironneau, Elijah Polak
AMC
2004
105views more  AMC 2004»
13 years 8 months ago
Block matrix Sinc-Galerkin solution of the wind-driven current problem
A block matrix formulation is presented for the Sinc-Galerkin technique applied to the wind-driven current problem from oceanography. The block matrix form is used to determine an...
Sanoe Koonprasert, Kenneth L. Bowers
IPL
2006
151views more  IPL 2006»
13 years 9 months ago
Approximating weighted matchings in parallel
We present an NC approximation algorithm for the weighted matching problem in graphs with an approximation ratio of (1 - ). This improves the previously best approximation ratio of...
Stefan Hougardy, Doratha E. Drake Vinkemeier