dCATCH: numerical package for d-variate discrete measure compression,
near-optimal design and polynomial fitting - v1.1
DISCLAIMER: These programs are free software; you can use, redistribute
and/or modify them under the terms of the GNU/General Public License as
published by the Free Software Foundation; either version 2 of the
License,
or (at your opinion) any later version
Note: works in low-moderate dimension at moderate-low polynomial degrees
Matlab codes
Polynomial bases and Vandermonde-like matrices
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mono_next_grlex.m (d-variate monomial ordering, by J. Burkardt)
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dCHEBVAND (d-variate Chebyshev-Vandermonde matrix)
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dORTHVAND (d-variate Vandermonde matrix in a discrete orthogonal basis)
Discrete measure compression
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dCATCH (d-variate CAratheodory-TCHakaloff discrete measure compression)
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LHDM (Lawson-Hanson NNLS solver accelerated by Deviation Maximization)
Regression design optimization
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dNORD (d-variate Near (G-)Optimal Regression Designs)
Polynomial fitting
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dPOLYFIT (d-variate polynomial fitting construction)
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dPOLYVAL (d-variate polynomial fitting evaluation)
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dLEB (d-variate Lebesgue constant evaluation, i.e. uniform norm
of the fitting operator)
Matlab demos
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demo5bubble (compression of grid points in a 5bubble: union of
5 balls, d=3)
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demoChebgrids (compression of Chebyshev grids in d-cubes)
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demoHalton (compression of Halton points in d-cubes)
haltonseq (generation of d-variate Halton sequences, by D. Dougherty)
References