kressner d. numerical methods for general and structured eigenvalue problems (isbn 3540245464)(springer, 2005)(266s)_mnl_

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1、LectureNotesinComputationalScienceandEngineering46EditorsTimothyJ.BarthMichaelGriebelDavidE.KeyesRistoM.NieminenDirkRooseTamarSchlickDanielKressnerNumericalMethodsforGeneralandStructuredEigenvalueProblemsWith32Figuresand10Tables123DanielKressnerInstitutfürMathematik,MA4-5TechnischeUniversitä

2、tBerlin10623Berlin,Germanyemail:kressner@math.tu-berlin.deLibraryofCongressControlNumber:2005925886MathematicsSubjectClassification(2000):65-02,65F15,65F35,65Y20,65F50,15A18,93B60ISSN1439-7358ISBN-103-540-24546-4SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-24546-9SpringerBerlinHeidelbergNe

3、wYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broad-casting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthe

4、reofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBe

5、rlinHeidelberg2005PrintedinTheNetherlandsTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorusi

6、ngaSpringerTEXmacropackageCoverdesign:design&production,HeidelbergPrintedonacid-freepaperSPIN:1136050641/TechBooks-543210Immerwennesregnet...PrefaceThepurposeofthisbookistodescriberecentdevelopmentsinsolvingeigen-valueproblems,inparticularwithrespecttotheQRandQZalgorithmsaswellasstructuredma

7、trices.OutlineMathematicallyspeaking,theeigenvaluesofasquarematrixAaretherootsofitscharacteristicpolynomialdet(A−λI).AninvariantsubspaceisalinearsubspacethatstaysinvariantundertheactionofA.Inrealisticapplications,itusuallytakesalongprocessofsimplifi