Hermite muaj nuj nqi f (x)

Txog rau qhov kev ua f (x), peb feem ntau paub tsis yog nws txoj haujlwm muaj nuj nqis ntawm qee cov ntsiab lus, tab sis kuj hais txog nws nqe ntawm cov ntsiab lus no. Cov kev txhais lus muaj nuj nqi P (x) nyob rau lub sijhawm tam sim no ib txwm tsis tas muaj nuj nqi ntawm f (x) ntawm cov ntsiab lus no, tab sis kuj suav qhov nqi ntawm P (x) ntawm cov ntsiab lus no. Nov yog Hermitian interpolation teeb meem, tseem hu ua teeb meem interpolation nrog derivatives. Los ntawm qhov kev pom ntawm geometric, qhov nkhaus polynomial nrhiav rau qhov kev sib txuam no yuav tsum tsis yog tsuas yog dhau los ntawm cov pab pawg taw tes paub ntawm lub dav hlau, tab sis kuj" rau qhov qub nkhaus ntawm cov ntsiab lus no (lossis ib feem ntawm lawv), uas yog, lawv muaj tib txoj kab nqes. Nws tuaj yeem pom tias Hermite interpolation polynomial muaj qhov siab dua qhov yuav tsum tau ua zoo dua li ntawm qhov kev txhais lus polynomial dav.