Let x0 .... ,XN be N + 1 interpolation points (nodes) and f0,...,fN be N+ 1 interpolation data. Then every rational function r with numerator and denominator degrees ~<N interpolating these values can be written in its barycentric form ## r(x) = x-x---SJkl x-xk, which is completely determined by
A matrix for determining lower complexity barycentric representations of rational interpolants
β Scribed by Jean-Paul Berrut
- Book ID
- 110386216
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 106 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1017-1398
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π SIMILAR VOLUMES
Let the column vectors of X: M\_N, M<N, be distributed as independent complex normal vectors with the same covariance matrix 7. Then the usual quadratic form in the complex normal vectors is denoted by Z=XLX H where L: N\_N is a positive definite hermitian matrix. This paper deals with a representat
Consider the quadratic form Z=Y H (XL X H ) &1 Y where Y is a p\_m complex Gaussian matrix, X is an independent p\_n complex Gaussian matrix, L is a Hermitian positive definite matrix, and m p n. The distribution of Z has been studied for over 30 years due to its importance in certain multivariate s