## Title data

Lempio, Frank:

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

*In:* Lucchetti, Roberto ; Revalski, Julian
(ed.):
Recent Developments in Well-Posed Variational Problems. -
Dordrecht
: Springer
,
1995
. - pp. 137-169
. - (Mathematics and its Applications
; 331
)

ISBN 978-94-015-8472-2

DOI: https://doi.org/10.1007/978-94-015-8472-2_6

Review: |

## Related URLs

## Abstract in another language

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: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | differential inclusions; difference methods; set-valued interpolation; set-valued integration; Aumann's integral; sensitivity in optimization; attainable sets |

Subject classification: | Mathematics Subject Classification Code: 34A60 (49M25 65D05 65D30 65L05 90C31 93B03) |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science 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 > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 18 Feb 2021 07:50 |

Last Modified: | 05 May 2021 11:27 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63172 |