| Jongen,H.Th., Jonker,P. and Twilt,F., Nonlinear Optimization in IR n .II. Transversality, Flows, Parametric Aspects, Peter Lang Verlag, Frankfurt, 1983. |
....3 (IR n 1 ; IR p 1 ) fi fi fi fi fi each point of Sigma gc belongs to one of the Types 1; 2; 3; 4; 5 ) In [12] it is also shown that F is a C 3 s open and dense subset of the space C 3 (IR n 1 ; IR p 1 ) endowed with the strong (or Whitney ) C 3 s topology. c.f. e.g. 9] or [13] for the definition of this topology) If the one parametric problem (P (t) belongs to F , then, the corresponding set Sigma gc has a suitable structure for the use of pathfollowing methods. Pathfollowing methods are the main tools for solving one parametric optimization problems. However, they ....
Jongen, H.Th., Jonker, P. and Twilt, F., Nonlinear optimization in IR n . II: transversality, flows, parametric aspects, Peter Lang Verlag, Frankfurt a. M., 1986.
....(LICQ) ffl The five types of generalized critical points defining regularity in the sense of Jongen, Jonker and Twilt. ffl The strong, or Whitney, topology in the space of all three time differentiable mappings. For a definition of most of the concepts (and even more) see e.g. the books [16, 17] and the paper [14] The rest of the report is organized as follows. In the second section the generic property will be presented and its proof will be reduced to three claims. The proof of these claims is the purpose of the third section. Some conclusions and examples are presented in the last ....
Jongen, H.Th., Jonker, P. and Twilt, F., Nonlinear optimization in IR n . II: transversality, flows, parametric aspects, Peter Lang Verlag, Frankfurt a. M., 1986. 25
....(LICQ) ffl The five types of generalized critical points defining regularity in the sense of Jongen, Jonker and Twilt. ffl The strong, or Whitney, topology in the space of all three time differentiable mappings. For a definition of most of the concepts (and even more) see e.g. the books [16, 17] and the paper [14] The rest of the report is organized as follows. In the second section the generic property will be presented and its proof will be reduced to three claims. The proof of these claims is the purpose of the third section. Some conclusions and examples are presented in the last ....
Jongen, H.Th., Jonker, P. and Twilt, F., Nonlinear optimization in IR n . I: Morse Theory, Chebychev Approximation, Peter Lang Verlag, Frankfurt a. M., 1986.
No context found.
Jongen,H.Th., Jonker,P. and Twilt,F., Nonlinear Optimization in IR n .II. Transversality, Flows, Parametric Aspects, Peter Lang Verlag, Frankfurt, 1983.
No context found.
Jongen,H.Th., Jonker,P. and Twilt,F., Nonlinear Optimization in IR n .I. Morse Theory, Chebishev Approximation, Peter Lang Verlag, Frankfurt, 1983.
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