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1、LectureNotesinComputationalScienceandEngineering46EditorsTimothyJ.BarthMichaelGriebelDavidE.KeyesRistoM.NieminenDirkRooseTamarSchlickDanielKressnerNumericalMethodsforGeneralandStructuredEigenvalueProblemsWith32Figuresand10Tables123DanielKressnerInstitutfürMathematik,MA4-5Tech
2、nischeUniversitätBerlin10623Berlin,Germanyemail:kressner@math.tu-berlin.deLibraryofCongressControlNumber:2005925886MathematicsSubjectClassification(2000):65-02,65F15,65F35,65Y20,65F50,15A18,93B60ISSN1439-7358ISBN-103-540-24546-4SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-2
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7、tsinsolvingeigen-valueproblems,inparticularwithrespecttotheQRandQZalgorithmsaswellasstructuredmatrices.OutlineMathematicallyspeaking,theeigenvaluesofasquarematrixAaretherootsofitscharacteristicpolynomialdet(A−λI).Aninvariantsubspaceisalinearsubspacethatstaysinvariantunderthea
8、ctionofA.Inrealisticapplications,itusuallytakesalongprocessofsimplifi
