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1、SolvingNonlinearEquationsthNewton'sMthodfundamentalsofAlgorithmsEditor-in-Chief:NicholasJ.Higham,UniversityofManchesterTheSIAMseriesonFundamentalsofAlgorithmspublishesmonographsonstate-of-the-artnumericalmethodstoprovidethereaderwithsufficientknowledgetochoosetheappropriatemethodforagivenapplica
2、tionandtoaidthereaderinunderstandingthelimitationsofeachmethod.Themonographsfocusonnumericalmethodsandalgorithmstosolvespecificclassesofproblemsandarewrittenforresearchers,practitioners,andstudents.Thegoaloftheseriesistoproduceacollectionofshortbookswrittenbyexpertsonnumericalmethodsthatincludea
3、nexplanationofeachmethodandasummaryoftheoreticalbackground.Whatdistinguishesabookinthisseriesisitsemphasisonexplaininghowtobestchooseamethod,algorithm,orsoftwareprogramtosolveaspecifictypeofproblemanditsdescriptionsofwhenagivenalgorithmormethodsucceedsorfails.Kelley,C.T.SolvingNonlinearEquations
4、withNewton'sMethodCT.KellegNorthCarolinaStateUniversityRaleigh,NorthCarolinaSolvingNonlinearEquationswithNewton'sMethodsiammSocietyforIndustrialandAppliedMathematicsPhiladelphiaCopyright©2003bytheSocietyforIndustrialandAppliedMathematics.10987654321Allrightsreserved.PrintedintheUnitedStatesofAme
5、rica.Nopartofthisbookmaybereproduced,stored,ortransmittedinanymannerwithoutthewrittenpermissionofthepublisher.Forinformation,writetotheSocietyforIndustrialandAppliedMathematics,3600UniversityCityScienceCenter,Philadelphia,PA19104-2688.LibraryofCongressCataloging-in-PublicationDataKelley,C.T.Solv
6、ingnonlinearequationswithNewton'smethod/C.T.Kelley.p.cm.—(Fundamentalsofalgorithms)Includesbibliographicalreferencesandindex.ISBN0-89871-546-6(pbk.)1.Newton-Raphsonmethod.2.Iterativemethods(Mathematics)3.Nonlineartheories.I.Title.II.Series.QA297.8.K4552003511'.4—dc212003050663AppleandMacintoshar
7、etrademarksofAppleComputer,Inc.,registeredintheU.S.andothercountries.VAIOisaregisteredtrademarkofSonyCorporation.Nowarranties,expressorimplied,aremadebythepublisher,author,andtheiremployersthattheprogramscontainedinthisvolum