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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 / /3-4/ /7-2/7-16/21
P01 = ((X- -1) * -1 – (X - 2)*0)/( ) = -4/3 P02 = ((X- -1) * 2 – (X - 5)*0)/(5- - 1) = 4/3 P03 = ((X- -1) * 5 – (X - 6)*0)/( ) = 20/ 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/ P0123 = ((X - 5) * - 2/7 – (X - 6)* - 4/9)/(6 - 5) = -16/21
XiX - XiF(Xi)P0iP01iP012iP0123i
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