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1、DifferentiableOptimizationandEquationSolving:ATreatiseonAlgorithmicScienceandtheKarmarkarRevolutionJohnLawrenceNazarethSpringerCanadianMathematicalSocietySoci′et′emath′ematiqueduCanadaEditors-in-ChiefR′edacteurs-en-chefJonathanBorweinPeterBorweinSpringerNewYorkBerlinHeidelbergHongKongLondonMi
2、lanParisTokyoJohnLawrenceNazarethDi?erentiableOptimizationandEquationSolvingATreatiseonAlgorithmicScienceandtheKarmarkarRevolutionWith14Illustrations1SpringerJohnLawrenceNazarethandProfessorA?liateProfessorDepartmentofPureandAppliedDepartmentofAppliedMathematicsMathematicsUniversityofWashingt
3、onWashingtonStateUniversitySeattle,WA98195Pullman,WA99164-3113USAUSAnazareth@amath.washington.eduEditors-in-ChiefR′edacteurs-en-chefJonathanBorweinPeterBorweinCentreforExperimentalandConstructiveMathematicsDepartmentofMathematicsandStatisticsSimonFraserUniversityBurnaby,BritishColumbiaV5A1S6C
4、anadacbs-editors@cms.math.caMathematicsSubjectClassi?cation(2000):34G20,65K05,68Wxx,90C05,90C30LibraryofCongressCataloging-in-PublicationDataNazareth,J.L.(JohnLawrence)Di?erentiableoptimizationandequationsolving:atreatiseonalgorithmicscienceandtheKarmarkarrevolution/JohnLawrenceNazareth.p.cm.
5、—(CMSbooksinmathematics;13)Includesbibliographicalreferencesandindex.ISBN0-387-95572-0(alk.paper)1.Mathematicaloptimization.2.Programming(Mathematics)3.Algorithms.I.Title.II.Series.QA402.5.N3752003519.3—dc212002030238ISBN0-387-95572-0Printedonacid-freepaper.c2003JohnLawrenceNazarethAllrights
6、reserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwith-outthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithre-viewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,ele
7、ctronicadaptation,computersoftware,orbysimilarordissimilarmethod-ologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidenti?edassuch,isnottobetakenasanexpres
