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On well-posedness and conditioning in optimization. (English) Zbl 1045.49025
Summary: We survey some results dealing with well-posedness of scalar optimization problems, with applications to the optimal control of ordinary differential equations under plant perturbations. Then we deal with the definition of a condition number for optimization problems. Corresponding distance theorems are discussed, aiming to generalize the Eckart-Young theorem to the infinite-dimensional setting.

MSC:
49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
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