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1、JamesE.GentleMatrixAlgebraTheory,Computations,andApplicationsinStatisticsJamesE.GentleDepartmentofComputationalandDataSciencesGeorgeMasonUniversity4400UniversityDriveFairfax,VA22030-4444jgentle@gmu.eduEditorialBoardGeorgeCasellaStephenFienbergIngramOlkinDepartmentofStatisticsDepartm
2、entofStatisticsDepartmentofStatisticsUniversityofFloridaCarnegieMellonUniversityStanfordUniversityGainesville,FL32611-8545Pittsburgh,PA15213-3890Stanford,CA94305USAUSAUSAISBN:978-0-387-70872-0e-ISBN:978-0-387-70873-7LibraryofCongressControlNumber:2007930269©2007SpringerScience+Busin
3、essMedia,LLCAllrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY,10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyfor
4、mofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpression
5、ofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaper.987654321springer.comToMar´ıaPrefaceIbeganthisbookasanupdateofNumericalLinearAlgebraforApplicationsinStatistics,publishedbySpringerin1998.Therewasamodestamountofnewmaterialtoadd,butIalsowantedtosupply
6、moreofthereasoningbehindthefactsaboutvectorsandmatrices.Ihadusedmaterialfromthattextinsomecourses,andIhadspentaconsiderableamountofclasstimeprovingassertionsmadebutnotprovedinthatbook.AsIembarkedonthisproject,thecharacterofthebookbegantochangemarkedly.Inthepreviousbook,Iapologizedfo
7、rspending30pagesonthetheoryandbasicfactsoflinearalgebrabeforegettingontothemaininterest:numericallinearalgebra.Inthepresentbook,discussionofthosebasicfactstakesupoverhalfofthebook.Theorientationandperspectiveofthisbookremainsnumericallinearal-gebraforapplicationsinstatistics.Computa
8、tionalconsideration
