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Compression of Multivariate Discrete Measures and Applications |
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| Authors: | Alvise Sommariva |
| Institution: | Department of Mathematics , University of Padova , Padova , Italy |
| Abstract: | In this article, we discuss two methods for the compression of multivariate discrete measures, with applications to node reduction in numerical cubature and least-squares approximation. The methods are implemented in the Matlab computing environment, in dimension two. |
| Keywords: | Algebraic cubature Approximate Fekete points Compressed least-squares Compression Multivariate discrete measures Node reduction Nonnegative least-squares (NNLS) QR factorization with column pivoting |