Question

Lagrange interpolation formula for rational function

Answer 1

Answer:

Step-by-step explanation: Say i  want a function passes through (x,Y)  points (3,0),(4,-1),(6,3) and (7,2)using lagrange interpolation i get

-Xcube-15xsq+70X-102 upon 2 but  using  this interpolation method for rational function i get  (X-3)/(x-5)  . this is cause when  rational interpolation is lot  simple than polynomial interpolation.