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JC
2008
92views more  JC 2008»
13 years 7 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
JC
2008
53views more  JC 2008»
13 years 7 months ago
Relative widths of smooth functions determined by fractional order derivatives
For two subsets W and V of a normed space X. The relative Kolmogorov n-width of W relative to V in X is defined by Kn(W, V )X := inf Ln sup f W inf gV Ln f - g X, where the infimu...
Liu Yongping, Yang Lianhong
JC
2008
128views more  JC 2008»
13 years 7 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
SCL
2008
75views more  SCL 2008»
13 years 7 months ago
Stabilization of a Boussinesq system of KdV-KdV type
A family of Boussinesq systems has recently been proposed by J. L. Bona, M. Chen, and J.-C. Saut in [2] to describe the two-way propagation of small amplitude gravity waves on the ...
Ademir F. Pazoto, Lionel Rosier
TEC
2008
109views more  TEC 2008»
13 years 7 months ago
Particle Swarm Optimization: Basic Concepts, Variants and Applications in Power Systems
Many areas in power systems require solving one or more nonlinear optimization problems. While analytical methods might suffer from slow convergence and the curse of dimensionality...
Y. del Valle, Ganesh K. Venayagamoorthy, Salman Mo...