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Set-valued interpolation, differential inclusions, and sensitivity in optimization

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

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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