@Book{1986547175,
author="Mayer, G{\"u}nter",
title="A  survey on properties and algorithms for the symmetric solution set",
series="Preprints aus dem Institut f{\"u}r Mathematik",
year="2012",
address="Germany; Rostock",
abstract="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{\textasciiacute}{\i}k. 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 Hlad{\'{\i}}k's paper.<eng>",
note="G{\"u}nter Mayer, dedicated to Professor Dr. G{\"o}tz Alefeld on the occasion of his 70th birthday",
doi="10.18453/rosdok_id00005822",
url="https://purl.uni-rostock.de/rosdok/id00005822",
url="https://doi.org/10.18453/rosdok_id00005822",
language="English"
}