非線性方程的求解-畢業(yè)論文

1、I非線性方程的求解TheSolutionofNonlinearEquations目錄緒論.....................................................................................................................................11非線性方程的簡(jiǎn)介.................................

2、........................................................................11.1非線性方程的背景...............................................................................................11.2非線性方程的概念.............................

3、..................................................................22非線性方程求解的數(shù)值方法..........................................................................................32.1二分法...........................................

4、.......................................................................32.1.1二分法的思想...........................................................................................32.1.2二分法的推理..................................

5、.........................................................32.1.3二分法的應(yīng)用...........................................................................................42.2牛頓迭代法...................................................

6、.......................................................42.2.1迭代法.......................................................................................................42.2.2牛頓迭代法..........................................

7、.....................................................62.3改進(jìn)牛頓迭代法................................................................................................102.3.1改進(jìn)牛頓迭代法的背景...........................................

8、..............................102.3.2改進(jìn)的法....................................................................................11Newton3牛頓迭代法和改進(jìn)牛頓迭代法的應(yīng)用......................................................................

9、.123.1牛頓迭代法的應(yīng)用............................................................................................123.2改進(jìn)牛頓迭代法的應(yīng)用....................................................................................194結(jié)束語(yǔ).........

10、...................................................................................................................22參考文獻(xiàn)...................................................................................................

11、........................23致謝...................................................................................................................................24IIITheSolutionofNonlinearEquationsAbstractNonlinearequation

12、sappearfrequentlyinpracticalproblemsmanyofusarefamiliarwiththelinearmodelobtainedbythesimplifiednonlinearproblemsundercertainconditions.Nonlinearequationsarebecomingmemeimptantinscienceengineeringcomputing.Therefeitisnec

13、essarytostudyexplewaystosolvenonlinearequations.Firstlythispaperrecommendsomebasicconceptionsrelatedbackgroundofnonlinearequationsthendescribesomemethodsofthesolutionofnonlinearequationemphaticallysuchas:theprocedureofdi

14、chotomytheiteratemethodtheNewtoniteratemethodtheimprovedNewtoniteratemethod.ItisveryusefuleffectivetousetheNewtoniteratemethodfsolvingnonlinearequationsinthosemethods.HoweverweproposetheimprovedNewtoniteratemethodbecause

15、ofthelimitsoftheNewtoniteratemethod.AlsowehavecarriedontheapproximatecalculationtothenonlinearequationshavecomparedtheNewtoniteratemethodwiththeimprovedNewtoniteratemethodIntheendweintroducetheapplicationoftheNewtonitera