Discrete ℓp approximation by rational functions
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The numerical solution of rational discrete ℓp approximation problems is considered. For the cases 1 < p < ∞, Gauss-Newton and separated Gauss-Newton methods are developed, and convergence results established. An algorithm for the problem with p=1 is also outlined.
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- 7.Golub, G.H. and Pereyra, V., Differentiation of pseudo-inverses, separable nonlinear least squares problems and other tales, Generalized Inverses and Applications, Academic Press, New York, 1976.Google Scholar
- 12.Osborne, M.R. and Watson, G.A., Nonlinear approximation problems in vector norms, in Numerical Analysis, Dundee 1977, ed. G.A. Watson, Springer-Verlag, Berlin, 1978.Google Scholar
- 15.Watson, G.A., Discrete ℓ1 approximation by rational functions, University of Dundee, Department of Mathematical Sciences Report NA/67, 1983; IMAJ Num. Anal. 4, in press.Google Scholar