"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 that do not have the accuracy of the minimax approximation but may be calculated more rapidly"--Abstract, page ii.
Gillett, Billy E.
Lee, Ralph E., 1921-2010
Carlile, Robert E.
Zenor, Hughes M., 1908-2001
M.S. in Computer Science
University of Missouri at Rolla
iv, 216 pages
© 1966 Mary Frances Good, All rights reserved.
Thesis - Open Access
Approximation theory -- Data processing
Error analysis (Mathematics)
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Good, Mary Frances, "Error analysis of rational approximations of functions with emphasis on minimax techniques" (1966). Masters Theses. 2957.