闭区间上神经数值计算模型与方法分析

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1、o-西，“缸习【-b学位髓．文闭区闰t-的神甥嘎‘值计算模型与方渤蝌完THERESEARCHoNNEURALNETWoRKCoMPUTINGMoDELANDMETHoDoFINTERVALARITHMETICABSTRACTWiththedevelopmentoftheartificialneuralnetworktechnology,itsuseisgradllallywidespread；theapplicationfieldalsoisdeveloping,tobroadalreadyineveryprojectfieldunceasin

2、gly．Butinthesciencecomputationandtheprojecttechnologyapplicationfield,manyquestionsfinallycomedowntothenon-linearalgebraicequationsolutionproblem．Thisarticleismairayaboutusingtheartificialneuralnetworktechnologyforthetraditionalnumeficalcalculation．Andcombiningintervalalgori

3、thmconcept,proposedaneu戌dnetworkcomputingmodelandmethodbasedonintervaliterativealgorithm,inordertodeveloptraditionalintervalcomputationalmethod，expandsitsapplyingrange．Atpresent，thepeopleUSethetraditionalnumericalcalculationmethod，successiveiterativealgorithmisoneofpeople’Sc

4、ommonlyusedmethods．Findthenon-linearequationnumericalrootnottobeexceptional，thetraditionaliterativealgorithmisfromsomeorseveralinitialvaluesstart,leavesaseriesofapproximatesolutions∞cordingtothespecificiterafiveprocessstructure．Butithastwosignificantweaknesses．First，itisvery

5、stricttothestartingvalueselectionrequest,requestinginitialingvaluefullyapproachestheequationthezerospotx+．Second，a'IDriscannotgive工‘‘’(x‘‘’isiterationnumberof血nes)outatthesametimetotheiterativeprocessineverystep．Combiningintervaliterativealgorithmwithneuralnetwork,thispapera

6、neuralnetworkcomputingmodelandmethodbasedonintervaliterativealgorithmisproposedtosolvetheseproblems．Thismethodsuccessiveiterationeachstepallc弛iteratecontainstherootinterval，exactlyCanmakeupforthesetwoaspectsoftheirweaknesses，thushasovercomethetraditionaliterationmethodweakne

7、sses．Theseproposedfiveneuralnetworkcomputingmodelsandmethodarc-(1)BisectintervaliterationRI．广。西大学唾士掌位鼬．文冉’眉问上的神经基值计算模型与方剖"开究method，(2)N—sectintervaliterationmethod,(3)Chordorsecantintervaliterationmethod，(4)Nevnonintervaliterationmethod，(5)Secantintervaliterationmethod．FinaS

8、ly,throughtospecificallycalcllIatctheexamplesimulationexperiment,confu'mati