A constrained approximation problem arising in parameter identification

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 s...

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 351; pp. 487 - 500
Main Authors: Jacob, Birgit, Leblond, Juliette, Marmorat, Jean-Paul, Partington, Jonathan R.
Format: Journal Article
Language:English
Published: Elsevier Inc 01.08.2002
Elsevier
Subjects:
Constrained approximation
domain_math.appl
Extremal problem
Inverse problem
Laplace's equation
Mathematics
Parameter identification
30E10
35R30
46E20
Laplace's equation
Constrained approximation
Parameter identification
Extremal problem
41A29
Inverse problem
ISSN:0024-3795, 1873-1856
Online Access:Get full text
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Summary: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.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(01)00445-1