zhan x. matrix inequalities (lnm 1790, springer, 2002)(121s)

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1、LectureNotesinMathematics1790Editors:J.-M.Morel,CachanF.Takens,GroningenB.Teissier,Paris3BerlinHeidelbergNewYorkBarcelonaHongKongLondonMilanParisTokyoXingzhiZhanMatrixInequalities13AuthorXingzhiZHANInstituteofMathematicsPekingUniversityBeijing100871,ChinaE-mail:zhan@math.pku.edu.cnCataloging

2、-in-PublicationDataappliedforDieDeutscheBibliothek-CIP-EinheitsaufnahmeZhan,Xingzhi:Matrixinequalities/XingzhiZhan.-Berlin;Heidelberg;NewYork;Barcelona;HongKong;London;Milan;Paris;Tokyo:Springer,2002(Lecturenotesinmathematics;Vol.1790)ISBN3-540-43798-3MathematicsSubjectClassification(2000):15

3、-02,15A18,15A60,15A45,15A15,47A63ISSN0075-8434ISBN3-540-43798-3Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,repr

4、oductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Violationsareliableforprosecutionunderth

5、eGermanCopyrightLaw.Springer-VerlagBerlinHeidelbergNewYorkamemberofBertelsmannSpringerScience+BusinessMediaGmbHhttp://www.springer.de©Springer-VerlagBerlinHeidelberg2002PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsen

6、ceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheauthorSPIN:1088261641/3142/du-543210-Printedonacid-freepaperPrefaceMatrixanalysisisaresearchfieldofbasicinterestandhasapplicationsinscien

7、tificcomputing,controlandsystemstheory,operationsresearch,mathe-maticalphysics,statistics,economicsandengineeringdisciplines.Sometimesitisalsoneededinotherareasofpuremathematics.Alotoftheoremsinmatrixanalysisappearintheformofinequalities.Givenanycom