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Stability of solutions for a class of nonlinear cone constrained optimization problems. II: Application to parameter estimation. (English) Zbl 0679.49027

We study a problem of parameter estimation in two point boundary value problems. Using a stability theorem for nonlinear cone constrained optimization problems derived in Part I of the paper [see the author, ibid.; Zbl 0679.49026] we investigate stability properties of the solutions of the parameter estimation problem in the output-least-squares formulation.
Reviewer: W.Alt

MSC:

49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
90C90 Applications of mathematical programming
93B15 Realizations from input-output data

Citations:

Zbl 0679.49026
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References:

[1] Alt W., Mathematical Programming with Data Perturbations pp 7–
[2] Aubin J. P., Approximation of elliptic boundary value problems (1972) · Zbl 0248.65063
[3] DOI: 10.1515/crll.1986.370.1 · Zbl 0584.34009
[4] DOI: 10.1007/BF01442186 · Zbl 0632.49014
[5] DOI: 10.1137/0713043 · Zbl 0347.90050
[6] DOI: 10.1287/moor.1.2.130 · Zbl 0418.52005
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