A
survey on properties and algorithms for the symmetric solution set
Mayer, Günter
1951-
VerfasserIn
aut
Alefeld, Götz
1941-
GefeierteR
hnr
text
Text
gw
2012
monographic
XA-DE
Rostock
University of Rostock, Institute of Mathematics
publisher
2012
Rostock
Universitätsbibliothek
distributor
eng
1 Online-Ressource (58 Seiten)
We give a survey on the symmetric solution set of linear systems of equations with perturbed input data starting with a description of its form and presenting several algorithms whose resulting interval vector encloses it. In particular, we derive the describing inequalities in a new way and represent them in a modified form as compared with a recent result by Hlad´ık. This form enables us to improve a known upper bound for their number essentially. We thus end up with an Oettli–Prager like theorem for the symmetric solution set which we can prove by elementary means and completely different from Hladík’s paper.<eng>
Open Access
Urheberrechtsschutz 1.0
Günter Mayer, dedicated to Professor Dr. Götz Alefeld on the occasion of his 70th birthday
510
https://purl.uni-rostock.de/rosdok/id00005822
A Survey on Properties and Algorithms for the Symmetric Solution Set. [Universität Rostock, Institut für Mathematik]
Rostock : Inst. für Mathematik, 2012
Druck-Ausgabe
(DE-627)720563658
Mayer, Günter, 1951 -
Preprints aus dem Institut für Mathematik
12/2
urn:nbn:de:gbv:28-rosdok_id00005822-8
10.18453/rosdok_id00005822
1621341194
rda
DE-627
261013
1986547175
20261013T150519.0
Converted from MARCXML to MODS version 3.8 using MARC21slim2MODS3-8_XSLT1-0.xsl
(Revision 1.174 20250328)
ger