Optimum parameters for the generalized ADI method |
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Authors: | B Le Bailly JP Thiran |
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Institution: | (1) Department of Mathematics, Facultés Universitaires Notre-Dame de la Paix, Rempart de la Vierge, 8, B-5000 Namur, Belgium; e-mail: jpt@math.fundp.ac.be , BE |
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Abstract: | Summary. In the context of the generalized ADI method, we are concerned with the problem of finding in the set of rational functions
r with numerator degree m and denominator degree n an element that minimizes where E,F are disjoint real intervals. By extending a recent analysis by Levin and Saff, we present an explicit formula for choosing
the pair (m,n) for given m +n. Furthermore, we provide a characterization of and a Remes type algorithm for its determination. Extensive numerical computations furnish some comparison of with asymptotically optimal solutions based on Fejér-Walsh and Leja-Bagby points.
Received September 6, 1996 / revised version received June 30, 1997 |
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