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On well‐posedness and conditioning in optimization
Author(s) -
Zolezzi T.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310113
Subject(s) - scalar (mathematics) , mathematics , optimization problem , ordinary differential equation , conditioning , optimal control , mathematical optimization , control (management) , computer science , calculus (dental) , differential equation , mathematical analysis , statistics , geometry , artificial intelligence , medicine , dentistry
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.