Springer.Differentiable.optimization.and.equation.solving(Springer,2003)

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1、DifferentiableOptimizationandEquationSolving:ATreatiseonAlgorithmicScienceandtheKarmarkarRevolutionJohnLawrenceNazarethSpringerCanadianMathematicalSocietySoci´et´emath´ematiqueduCanadaEditors-in-ChiefR´edacteurs-en-chefJonathanBorweinPeterBorweinSpringerNewYorkBerlinHeidelbergHongKongLondonMi

2、lanParisTokyoJohnLawrenceNazarethDifferentiableOptimizationandEquationSolvingATreatiseonAlgorithmicScienceandtheKarmarkarRevolutionWith14Illustrations1SpringerJohnLawrenceNazarethandProfessorAffiliateProfessorDepartmentofPureandAppliedDepartmentofAppliedMathematicsMathematicsUniversityofWashingt

3、onWashingtonStateUniversitySeattle,WA98195Pullman,WA99164-3113USAUSAnazareth@amath.washington.eduEditors-in-ChiefR´edacteurs-en-chefJonathanBorweinPeterBorweinCentreforExperimentalandConstructiveMathematicsDepartmentofMathematicsandStatisticsSimonFraserUniversityBurnaby,BritishColumbiaV5A1S6C

4、anadacbs-editors@cms.math.caMathematicsSubjectClassification(2000):34G20,65K05,68Wxx,90C05,90C30LibraryofCongressCataloging-in-PublicationDataNazareth,J.L.(JohnLawrence)Differentiableoptimizationandequationsolving: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,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpres