Indefinite Linear Algebra and Applications.pdf

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1、IsraelGohbergPeterLancasterLeibaRodmanIndefiniteLinearAlgebraandApplicationsBirkhäuserBasel•Boston•BerlinAuthors:IsraelGohbergPeterLancasterSchoolofMathematicalSciencesDepartmentofMathematicsandStatisticsRaymondandBeverlySacklerUniversityofCalgaryFacultyofExactSciencesCalgar

2、y,AlbertaT2N1N4,CanadaTelAvivUniversitye-mail:lancaste@ucalgary.caRamatAviv69978,Israele-mail:gohberg@math.tau.ac.ilLeibaRodmanDepartmentofMathematicsCollegeofWilliamandMaryP.O.Box8795Williamsburg,VA23187-8795,USAe-mail:lxrodm@math.wm.edu2000MathematicsSubjectClassification3

3、2-01ACIPcataloguerecordforthisbookisavailablefromtheLibraryofCongress,WashingtonD.C.,USABibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetat

4、://dnb.ddb.de>.ISBN3-7643-7349-0BirkhäuserVerlag,Basel–Boston–BerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcast-ing,reproductiononmicr

5、ofilmsorinotherways,andstorageindatabanks.Foranykindofusepermissionofthecopyrightownermustbeobtained.©2005BirkhäuserVerlag,P.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaCoverdesign:MichaLotrovsky,CH-4106Therwil,SwitzerlandPrintedonacid-freepaperproduc

6、edfromchlorine-freepulp.TCF°°PrintedinGermanyISBN-10:3-7643-7349-0e-ISBN:3-7643-7350-4ISBN-13:978-3-7643-7349-8987654321www.birkhauser.chWefondlydedicatethisbooktofamilymembers:IsraelGohberg:Tohiswife,children,andgrandchildren.PeterLancaster:Tohiswife,Diane.LeibaRodman:ToEll

7、a,Daniel,Ruth,Benjamin,Naomi.PrefaceThefollowingtopicsofmathematicalanalysishavebeendevelopedinthelastfiftyyears:thetheoryoflinearcanonicaldifferentialequationswithperiodicHamiltoni-ans,thetheoryofmatrixpolynomialswithselfadjointcoefficients,lineardifferen-tialanddifferenceequatio

8、nsofhigherorderwithselfadjointconstantcoefficients,andalgebraicRiccatiequatio