mycoreobjectrosdok_document_0000027957rosdok_document_0000027957rosdokdocumentrosdok_derivate_00002298832026-10-13T13:20:21.772Z2026-10-13T11:45:25.664ZeditorKEeditorKEpublished1rosdok_derivate_0000229883truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id000058221986547175Oau2026-10-132026-10-13T13:20:20ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperAsurvey on properties and algorithms for the symmetric solution setWe 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.GünterMayer1951 -VerfasserInaut13177509XGötzAlefeld1941 -GefeierteRhnr174094442https://purl.uni-rostock.de/rosdok/id00005822urn:nbn:de:gbv:28-rosdok_id00005822-810.18453/rosdok_id00005822510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (58 Seiten)2012University of Rostock, Institute of MathematicsRostockmonographic20122026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005822Günter Mayer, dedicated to Professor Dr. Götz Alefeld on the occasion of his 70th birthdayrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-812/20012-0002doctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.workingpaperdoctype:epub.workingpaperWorkingpaperworking paperdiniPublType:workingPaper diniPublType2022:WorkingPaperinfo:eu-repo/semantics/workingPaperdocumentdiniPublType2022:WorkingPaperdiniPublType2022:WorkingPaperArbeitspapierWorking paperKDSF (Pu37)SDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsunirostocklicenseinfo:deposit.rightsunirostockRechteinhaber Universität Rostockrightsholder Rostock Universityaccesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2licenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/rfc5646:enrfc5646:enEnglischEnglishengengAsurvey on properties and algorithms for the symmetric solution setA survey on properties and algorithms for the symmetric solution setgnd:13177509Xgnd:174094442gnd:13177509Xgnd:174094442rosdok_document_0000027957-d3966769e50gnd:13177509XGünter MayerGünter Mayerrosdok_document_0000027957-d3966769e64gnd:174094442Götz AlefeldGötz AlefeldGünter MayerGötz AlefeldGünter MayerGötz AlefeldGünter MayerRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005822urn:nbn:de:gbv:28-rosdok_id00005822-810.18453/rosdok_id00005822We 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.20122012Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-812/20012-0002https://purl.uni-rostock.de/rosdok/id000058163255797-8Günter Mayer, dedicated to Professor Dr. Götz Alefeld on the occasion of his 70th birthdayepub.workingpaper1 Mayer_survey_2012.pdf 397788 44cd90213049ff0ac2358986fe3d7991 rosdok_id000058221986547175Oau2026-10-132026-10-13T13:20:20ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperAsurvey on properties and algorithms for the symmetric solution setWe 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.GünterMayer1951 -VerfasserInaut13177509XGötzAlefeld1941 -GefeierteRhnr174094442https://purl.uni-rostock.de/rosdok/id00005822urn:nbn:de:gbv:28-rosdok_id00005822-810.18453/rosdok_id00005822510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (58 Seiten)2012University of Rostock, Institute of MathematicsRostockmonographic20122026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005822Günter Mayer, dedicated to Professor Dr. Götz Alefeld on the occasion of his 70th birthdayrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-812/20012-0002 2026-10-13T11:45:25.664Z 2026-10-13T13:20:21.772Z 2026-10-23T13:20:21.781Z editorKE {"identifier":"rosdok/id00005822","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-13T11:45:25.703Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005822-8","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-13T11:45:25.721Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005822","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-13T11:45:25.725Z","registrationStarted":"2026-10-13T11:51:37.862Z"} {"identifier":"10.18453/rosdok_id00005822","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-13T11:45:25.730Z","registrationStarted":"2026-10-13T11:51:37.620Z","registered":"2026-10-13T11:51:39.224Z"} editorKEfulltextfile/rosdok_document_0000027957/rosdok_derivate_0000229883/Mayer_survey_2012.pdfAsurvey on properties and algorithms for the symmetric solution setA survey on properties and algorithms for the symmetric solution setgnd:13177509Xgnd:174094442gnd:13177509Xgnd:174094442rosdok_document_0000027957-d3966769e50gnd:13177509XGünter MayerGünter Mayerrosdok_document_0000027957-d3966769e64gnd:174094442Götz AlefeldGötz AlefeldGünter MayerGötz AlefeldGünter MayerGötz AlefeldGünter MayerRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005822urn:nbn:de:gbv:28-rosdok_id00005822-810.18453/rosdok_id00005822We 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.20122012Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-812/20012-0002https://purl.uni-rostock.de/rosdok/id000058163255797-8Günter Mayer, dedicated to Professor Dr. Götz Alefeld on the occasion of his 70th birthday[xslt]Saxonrosdok_id00005822https://purl.uni-rostock.de/rosdok/id00005822198654717510.18453/rosdok_id00005822urn:nbn:de:gbv:28-rosdok_id00005822-8Günter MayerMayer GünterA survey on properties and algorithms for the symmetric solution setWorkingpaperworking paperUniversity of Rostock, Institute of Mathematics, 2012We 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…rosdok_id000058160012-000212/2Günter MayerAsurvey on properties and algorithms for the symmetric solution setPreprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005822GünterMayer1951 -VerfasserInaut13177509XGötzAlefeld1941 -GefeierteRhnr174094442[purl]https://purl.uni-rostock.de/rosdok/id00005822[urn]urn:nbn:de:gbv:28-rosdok_id00005822-8[doi]10.18453/rosdok_id00005822open_access20122012epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published