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A constrained approximation problem arising in parameter identification

Birgit Jacob 1, 2 Juliette Leblond 3 Jean-Paul Marmorat 4 Jonathan R. Partington 2
1 University of Paderborn
2 School of Mathematics - University of Leeds
3 MIAOU - Mathematics and Computing in Automatic Control and Optimization for the User
CRISAM - Inria Sophia Antipolis - Méditerranée
4 CMA - Centre de Mathématiques Appliquées
Abstract : We pose and solve an extremal problem in the Hardy class H-2 of the disc, involving the best approximation of a function on a subarc of the circle by a H-2 function, subject to a constraint on its imaginary part on the complementary arc. A constructive algorithm is presented for the computation of such a best approximant, and the method is illustrated by a numerical example. The whole problem is motivated by boundary parameter identification problems arising in non-destructive control
Mots-clés : Laplace's equation Parameter identification Inverse problem Constrained approximation Extremal problem
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Submitted on : Wednesday, July 21, 2010 - 3:24:51 PM
Last modification on : Thursday, September 24, 2020 - 5:22:33 PM

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Birgit Jacob, Juliette Leblond, Jean-Paul Marmorat, Jonathan R. Partington. A constrained approximation problem arising in parameter identification. Linear Algebra and its Applications, Elsevier, 2002, 351-352, pp.487-500. ⟨10.1016/S0024-3795(01)00445-1⟩. ⟨hal-00504824⟩

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