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1、MatrixAnalysisSecondEditionLinearalgebraandmatrixtheoryarefundamentaltoolsinmathematicalandphysicalscience,aswellasfertileÞeldsforresearch.Thisneweditionoftheacclaimedtextpresentsresultsofbothclassicandrecentmatrixanalysisusingcanonicalformsasaunifyingtheme
2、,anddemonstratestheirimportanceinavarietyofapplications.Theauthorshavethoroughlyrevised,updated,andexpandedontheÞrstedition.Thebookopenswithanextendedsummaryofusefulconceptsandfactsandincludesnumerousnewtopicsandfeatures,suchas:Newsectionsonthesingularvalu
3、eandCSdecompositionsNewapplicationsoftheJordancanonicalformAnewsectionontheWeyrcanonicalformExpandedtreatmentsofinverseproblemsandofblockmatricesAcentralroleforthevonNeumanntracetheoremAnewappendixwithamodernlistofcanonicalformsforapairofHermitianmatri
4、cesandforasymmetricÐskewsymmetricpairExpandedindexwithmorethan3,500entriesforeasyreferenceMorethan1,100problemsandexercises,manywithhints,toreinforceunderstand-inganddevelopauxiliarythemessuchasÞnite-dimensionalquantumsystems,thecompoundandadjugatematrice
5、s,andtheLoewnerellipsoidAnewappendixprovidesacollectionofproblem-solvinghints.RogerA.HornisaResearchProfessorintheDepartmentofMathematicsattheUniversityofUtah.HeistheauthorofTopicsinMatrixAnalysis(CambridgeUniversityPress1994).CharlesR.Johnsonistheauthorof
6、TopicsinMatrixAnalysis(CambridgeUniversityPress1994).MatrixAnalysisSecondEditionRogerA.HornUniversityofUtahCharlesR.JohnsoncambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SaoPaulo,Delhi,MexicoCity÷CambridgeUniversityPress32Aven
7、ueoftheAmericas,NewYork,NY10013-2473,USAwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521548236CRogerA.HornandCharlesR.Johnson1985,2013Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingag
8、reements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished1985Firstpaperbackedition1990SecondeditionÞrstpublished2013PrintedintheUnitedStatesofAmer