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Article Dans Une Revue Linear Algebra and its Applications Année : 2002

A constrained approximation problem arising in parameter identification

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Résumé

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

Dates et versions

hal-00504824 , version 1 (21-07-2010)

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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, 2002, 351-352, pp.487-500. ⟨10.1016/S0024-3795(01)00445-1⟩. ⟨hal-00504824⟩
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