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Physical Sciences and Mathematics
Missouri University of Science and Technology
<p>Approximation theory -- Data processing<br />Error analysis (Mathematics)<br />Chebyshev approximation</p>
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Error Analysis Of Rational Approximations Of Functions With Emphasis On Minimax Techniques, Mary Frances Good
Error Analysis Of Rational Approximations Of Functions With Emphasis On Minimax Techniques, Mary Frances Good
Masters Theses
"This study examines the various considerations which are made when a function is approximated by a rational function. None of the four approximations considered here gives both a rapidly calculated approximation and one in which the maximum magnitude of the error function over a given interval is a minimum.
The second algorithm of Remes produces a sequence of rational approximations which converge to the rational approximation that minimizes the maximum magnitude of the error function for a given number of parameters to be calculated if the initial approximation in the sequence is chosen properly. Several rational function approximations are investigated …