Lagrange Newton Interpolations

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Mayelana nalolu hlelo lokusebenza

I-interpolation calculator iyithuluzi lezibalo lamahhala elisiza ukuxazulula izihumusho ze-Lagrange ne-Newton. Lesi sibali sokuhumusha sedijithali sikunikeza indlela elula nelula yokunquma inani phakathi kwamanani amabili noma ngaphezulu. Nokho, lolu lohlelo lokusebenza lokubala lunikeza izixazululo ezilula ngokunemba okuphezulu.


 


Asisekho isidingo sezibalo zokuhumusha mathupha. Faka isethi yakho yamaphoyinti futhi uthole imiphumela phakathi kwamasekhondi ambalwa. Ungakwazi ukwenza izibalo zibe lula kokuhumusha ngomugqa nezinye izinkinga. Yiba ngumfundi wezibalo ohlakaniphile futhi wonge isikhathi sakho esiyigugu ngesibali sethu se-interpolation.


 


Lolu hlelo lokusebenza lwamahhala luvumela abasebenzisi ukuthi bahumushe idatha ngezindlela ezimbili ezisebenzayo nezinamandla ezigcwele. ILagrange interpolating polynomial iyithuluzi elisisiza ukuthi sakhe i-polynomial ehamba kunoma iyiphi isethi yamaphoyinti esiwafunayo.


 


Ifomula ka-Newton yokuhumusha umehluko ohlukanisiwe iyindlela yokuhumusha esetshenziswa lapho umehluko wesikhawu ungafani kukho konke ukulandelana kwamanani.


 


Ama-coefficient e-newton azobalwa futhi aboniswe ukuze ukwazi ukuwasebenzisa kwenye indawo. Igrafu ihlela idatha enikeziwe kanye nedatha elinganiselwe ngegrafu eskroleka. Ungafaka amaphuzu amaningi njengoba unawo.


== Isibali Se-Interpolation


Ukubala ukuhunyushwa kwamanani we-Newton kanye nemisebenzi ye-Lagrange iyinhloso eyinhloko yalesi isibali se-interpolation. Amanani okokufaka, khetha uhlobo lokuhumusha bese ucindezela inketho yokubala ukuze wenze ubuqili.


== I-Lagrange Interpolation  


I-

Lagrange interpolating calculator iyithuluzi elilula nelisebenza kahle lokuthuthukisa i-polynomial enelisa wonke amaphuzu esethi enikeziwe. Nokho, ungabonisa umsebenzi we-polynomial we-Lagrange ukuze uhlole imiphumela.


== Newton Interpolation


Umehluko ifomula yokuhumusha indlela esetshenziselwa ukuhumusha kuka-Newton imibuzo yezibalo. Lena indlela elula uma ukulandelana kwamanani kunesikhawu esihlukile. Zigcine uphambili ngenkathi uxazulula izinkinga zokuhumusha i-Newton


IZICI ZOKUSEBENZA:



  • Isixhumi esibonakalayo esimaphakathi nomsebenzisi esinezinketho ezinembile

  • Isibalo se-polynomial ye-Lagrange kumaphoyinti anikiwe

  • Umsebenzi ka-Newton izibalo zokuhumusha

  • Kulula ukufaka amaphuzu edatha endaweni enikeziwe

  • Ibala imiphumela ngokushesha yabasebenzisi

  • Okungaxhunyiwe ku-inthanethi kanye isibali sokuhumusha samahhala


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Nov 29, 2022

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