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1、LINE~OPTIMIZATIONPROBLEMSWITHINEXACTDATALINEAROPTIMIZATIONPROBLEMSWITHINEXACTDATAM.FIEDLERAcademyofSciences,Prague,CzechRepublicJ.NEDOMAAcademyofSciences,Prague,CzechRepublicJ.RAM~KSilesianUniversity,KarvinB,CzechRepublicJ.ROHNAcademyofSciences,Prague,CzechRepublicK.ZIMMERMANNA
2、cademyofSciences,Prague,CzechRepublic-SpringerLibraryofCongressControlNumber:2006921166Printedonacid-freepaper.AMSSubiectClassifications:90C05.90C60.90C70.15A06.65640O2006SpringerScience+BusinessMedia,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithou
3、tthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,Inc.,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimi
4、larordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnit
5、edStatesofAmerica.ToourwivesEva,Libuge,Eva,HelenaandOlgaContentsPreface........................................................XI1MatricesM.Fiedler..................................................11.1Basicnotionsonmatrices,determinants....................11.2Norms,basicnumeric
6、allinearalgebra......................141.3Symmetricmatrices......................................191.4Generalizedinverses.....................................231.5Nonnegativematrices,M-andP-matrices..................271.6Examplesofotherspecialclassesofmatrices................31
7、SolvabilityofsystemsofintervallinearequationsandinequalitiesJ.Rohn....................................................352.1Introductionandnotations...............................352.2AnalgorithmforgeneratingY,...........................362.3Auxiliarycomplexityresult............
8、...................382.4Solvabilityandfeasibility.....
