On discrete rational least squares approximation |
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Authors: | Dr. Tomaso Pomentale |
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Affiliation: | (1) Division DD, Cern, CH 1211 Genève 23 |
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Abstract: | Summary The paper deals with the finite rational least squares approximation to a discrete function. An approximation without poles and depending on a parameter is defined which tends to the least squares approximation for 0. It gives an acceptable approximation when the least squares approximation does not exist. Further it is shown that, if the discrete function to be fitted is sufficiently close to a rational function, then the least squares approximation exists. |
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