A survey on properties and algorithms for the symmetric solution set Mayer, Günter , 1951- (VerfasserIn) Alefeld, Götz , 1941- (GefeierteR) Text Text 2012 2012 eng electronic resourceremoteComputermedienOnline-Ressource1 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]--(DE-627)720563658 urn:nbn:de:gbv:28-rosdok_id00005822-8 doi: 10.18453/rosdok_id00005822 oclc: 1621341194 ppn: (DE-627)1986547175