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1、AlgorithmsandComputationinMathematics•Volume14EditorsManuelBronsteinArjehM.CohenHenriCohenDavidEisenbudBerndSturmfelsAliciaDickensteinIoannisZ.Emiris(Editors)SolvingPolynomialEquationsFoundations,Algorithms,andApplicationsWith46Figures123EditorsAliciaDickensteinDepa

2、rtamentodeMatem´aticaFacultaddeCienciasExactasyNaturalesUniversidaddeBuenosAiresCiudadUniversitaria–Pab.IC1428EGABuenosAires,Argentinae-mail:alidick@dm.uba.arIoannisZ.EmirisDepartmentofInformaticsandTelecommunicationsNationalKapodistrianUniversityofAthensPanepistimi

3、opolisGR-15784,Greecee-mail:emiris@di.uoa.grLibraryofCongressControlNumber:2005921469MathematicsSubjectClassification(2000):14QXX,68W30,65H10,13PXX,11C08,12F10,12Y05,13P05,13P10,32A27,52A39,52B11,52B20,68Q25,68U07ISSN1431-1550ISBN-103-540-24326-7SpringerBerlinHeidelb

4、ergNewYorkISBN-13978-3-540-24326-7SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononm

5、icrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliableforprosecution

6、undertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstat

7、ement,thatsuchnamesareexemptfromtherelevantpro-tectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorsandTechBooksusingaSpringerLATEXmacropackageCoverdesign:design&productionGmbH,HeidelbergPrintedonacid-freepaper46/sz-543210Tomyfamily.A.D.Tom

8、yparents.I.Z.E.PrefaceThesubjectofthisbookisthesolutionofpolynomialequations,thatis,sys-temsof(generally)non-linearalgebraicequations.This