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Distances, norms and error propagation in idempotent semirings

Glück, Roland (2018) Distances, norms and error propagation in idempotent semirings. In: LECTURE NOTES IN COMPUTER SCIENCE (11194), pp. 53-69. 17th International Conference on Relational and Algebraic Methods in Computer Science, 29. Okt. - 01. Nov. 2018, Groningen, Niederlande. DOI: 10.1007/978-3-030-02149-8\_4

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Official URL: https://link.springer.com/chapter/10.1007%2F978-3-030-02149-8_4

Abstract

Error propagation and perturbation theory are well-investigated areas of mathematics dealing with the influence of errors and perturbations of input quantities on output quantities. However, these methods are restricted to quantities relying on real numbers under traditional addition and multiplication. We aim to present first steps of an analogous theory on idempotent semirings, so we define distances and norms on idempotent semirings and matrices over them. These concepts are used to derive inequalities characterizing the influence of changes in the input quantities on the output quantities of some often used semiring expressions.

Item URL in elib:https://elib.dlr.de/122725/
Document Type:Conference or Workshop Item (Speech)
Title:Distances, norms and error propagation in idempotent semirings
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Glück, Rolandroland.glueck (at) dlr.dehttps://orcid.org/0000-0001-7909-1942
Date:2018
Journal or Publication Title:LECTURE NOTES IN COMPUTER SCIENCE
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:Yes
DOI :10.1007/978-3-030-02149-8\_4
Page Range:pp. 53-69
Editors:
EditorsEmail
Desharnais, JulesJules.Desharnais@ift.ulaval.ca
Guttmann, Walterwalter.guttmann@canterbury.ac.nz
Joosten, Stefstef. joosten@ou. nl
Status:Published
Keywords:Semirings Distance Norm Error propagation
Event Title:17th International Conference on Relational and Algebraic Methods in Computer Science
Event Location:Groningen, Niederlande
Event Type:international Conference
Event Dates:29. Okt. - 01. Nov. 2018
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment
Location: Augsburg
Institutes and Institutions:Institute of Structures and Design > Automation and Production Technology
Deposited By: Glück, Dr. Roland
Deposited On:15 Nov 2018 10:12
Last Modified:15 Nov 2018 10:12

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