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DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005437
URN to cite this document: urn:nbn:de:bvb:703-epub-5437-4
URN to cite this document: urn:nbn:de:bvb:703-epub-5437-4
Title data
Lempio, Frank:
Set-valued interpolation, differential inclusions, and sensitivity in optimization.
Bayreuth
,
1995
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Abstract
Set-valued interpolation and integration methods are introduced with special emphasis on error representations and error estimates with respect to Hausdorff distance. The connection between order of convergence results and sensitivity properties of finite-dimensional convex optimization problems is discussed. The results are applied to the numerical approximation of reachable sets of linear control problems by quadrature formulae and interpolation techniques for set-valued mappings.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erschienen In:
Lucchetti, Roberto ; Revalski, Julian (Hrsg.): Recent Developments in Well-Posed Variational Problems. - Dordrecht : Springer , 1995 . - S. 137-169 |
| Keywords: | differential inclusions; difference methods; set-valued interpolation; set-valued integration; Aumann's integral; sensitivity in optimization; attainable sets |
| DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-5437-4 |
| Date Deposited: | 05 May 2021 11:25 |
| Last Modified: | 05 May 2021 11:28 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/5437 |
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