# XkFKP0KP01KP012K X0F0... X1F1P01.. X2F2P02P012. X3F3P03P013P0123 P0,...,k+1(x) = (x−xk)P0,...,k−1,k+1(x)−(x−xk+1)P0,...,k(x) _______________________________________________________.

## Presentation on theme: "XkFKP0KP01KP012K X0F0... X1F1P01.. X2F2P02P012. X3F3P03P013P0123 P0,...,k+1(x) = (x−xk)P0,...,k−1,k+1(x)−(x−xk+1)P0,...,k(x) _______________________________________________________."— Presentation transcript:

XkFKP0KP01KP012K X0F0... X1F1P01.. X2F2P02P012. X3F3P03P013P0123 P0,...,k+1(x) = (x−xk)P0,...,k−1,k+1(x)−(x−xk+1)P0,...,k(x) _______________________________________________________ xk+1 −xk

XiX-XiF(Xi)P0iP01iP012i 40--- 21 -4/3-- 5-224/3-4/9- 6-3520/7-2/7-16/21

P01 = ((X- -1) * -1 – (X - 2)*0)/(2 - - 1) = -4/3 P02 = ((X- -1) * 2 – (X - 5)*0)/(5- - 1) = 4/3 P03 = ((X- -1) * 5 – (X - 6)*0)/(6 - - 1) = 20/7 ------------------------------------------------------------------- P011 = ((X - 2) * 4/3 – (X - 5)* - 4/3)/(5 - 2) = -4/9 P012 = ((X - 2) * 20/7 – (X - 6)* - 4/3)/(6 - 2) = -2/7 --------------------------------------------------------------------- P0123 = ((X - 5) * - 2/7 – (X - 6)* - 4/9)/(6 - 5) = -16/21

XiX - XiF(Xi)P0iP01iP012iP0123i 40.50.60206---- 4.20.30.62325--- 4.40.10.64345-- 4.6-0.10.66276- 4.8-0.30.68124