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1、KroneckerProductsandMatrixCalculus:withApplicationsALEXANDERGRAHMvI,M.A.,M.Sc.,Ph.D.,C.Eng.M.LE.E.SeniorLecturerinMathematics,TheOpenUniversity,MiltonKeynes.,...;.ELLISHORWOODLIMITEDPublishers·ChichesterHalstedPress:adivisionofJOHNWILEY&SONSNewYork·Brisbane·Chichester·Torontofirstpublishe
2、din1981byELLiSHORWOODLIMiTEDMarketCrossHouse,CooperStreet,Chichester,WestSussex,PO19lEB,England11Iepublisher'scolophonisreproducedfromJamesGillison'sdrawingoftheallcientMarketCross,Chichester.Distributors:Australia,NewZealand,South-eastAsia;Jacaranda-WUeyLtd.,JacarandaPress,JOHNWILEY&SONS
3、INC.,G.P.O.Box859,Brisbane,Queensland40001,AustraliaCanada:JOHNWILEY&SONSCANADALIMITED22WorcesterRoad,Rexdale,OntariO,Canada.b'urope,Africa.'JOHNWILEY&SONSLIMITEDBaffinsLane,Chichester,WestSussex,England,NorthandSouthAmericaandtherestoftheworld:HalstedPress:adivisionofJOliNWILEY&SONS605Th
4、irdAvenue,NewYork,N.Y.10016,U.S.A.©1981A.Graham/EllisHorwoodLtd.BritishLibraryCataloguinginPublicationDataGrw:un.AlexanderKroneckerproductsandmatrixcalculus.-(EllisHorwoodseriesinmathematicsanditsapplications)1.Matrices1.Title512.9'43QA188LibraryofCongressCardNo.81-7132AACR2ISBN0-85312-39
5、1-8(EllisHorwoodLimited,LibraryEdition)[SBN0-85312-427-2(EllisHorwoodLimited.StudentEdition)ISBN0-470-27300-3(HalstedPress)TypesetinPressRomanbyEllisHorwoodLtd.PIlntedinGreatBritainbyR.J.Acford,ChichesterCOI'YRIGIITNOTICE-AllRillht~Rescrved.No[lurtorthispublicationmaybercproduccd,storedin
6、aretricval~ystCl\,ortranSlllillcd,lnanyformorbyanymeans,ele~tronic,mcchanical,photocopying,recordingorotherwise,withoutthepermissionofE111sHorwoodLimited,MarketCrossHouse,CooperSIIeet,Chichester,WestSussex,England.TableofContentsAuthor'sPreface..........................................7S
7、ymbolsandNotationUsed..................................9Chapter1-Preliminaries1.1Introduction.......................................111.2UnitVectorsandElementaryMatrices......................111.3DecompositionsofaMatrix.............................131.4TheTraceFunct