简介:ThebasicprincipleofintervalarithmeticandthebasicalgorithmoftheintervalNewtonmethodsareintroduced.Theprototypealgorithmcannotfindanyzeroinanintervalthathaszerosometimes,thatis,itisinstable.Sotheprototyperelaxationprocedureisimprovedinthispaper.Additionally,animmediatetestoftheexistenceofasolutionfollowingbranch-and-boundisproposed,whichavoidsunwantedcomputationsinthoseintervalsthathavenosolution.ThenumericalresultsdemonstratthattheimprovedintervalNewtonmethodissuperiortoprototypealgorithmintermsofsolutionquality,stabilityandconvergentspeed.
简介:Theprocessingofnonlineardatawasoneofhottopicsinsurveyingandmappingfieldinrecentyears.Asaresult,manylinearmethodsandnonlinearmethodshavebeendeveloped.Butthemethodsforprocessinggeneralizednonlinearsurveyingandmappingdata,especiallyfordifferentdatatypesandincludingunknownparameterswithrandomornonrandom,areseldomnoticed.Anewalgorithmmodelispresentedinthispaperforprocessingnonlineardynamicmultiple-periodandmultiple-accuracydataderivedfromdeformationmonitoringnetwork.