Abbas Y. Al-Bayati - Basim A. Hassan - University of Mosul

The Extended CG Method for Non-Quadratic ModelsAppendixThese test function are from general literature [8].1. Generalized Powell FunctionF(X)n/4=∑i=2[(x4i-3-10 x4i-2)2+ 5(xTxo = (3, -1, 0 ,1, K)2. Generalized Wood FunctionF(x) =xn/4∑i=2[100(x4i-2+ 90(x− x- x24i-32 44i 4i-1To= (- 3, -1, - 3 , -1, K)3. Non-diagonal Functions:F(x) =xn∑[100(xi=2To= ( -1, K)))2+ (1 −4i-12 22i- xo)i]4. Generalized Dixon Function- x4i-32x4i −1922= (1−x1 ) + (1−xo)+ ∑(xi- xi+1)i=2To= (-1, K)F(x)x5. Wolfe Functions:))4i22)2+ (x4i-2+ 10 (X+ 1.0]- 2 xn-1222= (- x (3 - x1/2)+ 2x 2 -1) + ∑(xi-1 - x i (3 - x i/2)+ 2x i+ 1 -1) + (x n-1 - x n (3x n/2)-1)i=1To= (-1, K)F(X)x6. Shallo Function+ (1- x+ (1- x )n/22 22∑(x2i -1- x2i)+ (1- x2i-1)i=1To= ( - 2 , - 2 , K)F(x) =x7. Generalized Rosenbrock FunctionF(x) =n/2∑2 2100(x2i − x2i-1)+ (1−x2i-1)i=2To= (-1, 2 ,1, K)x8. Beale Function22 23F(x) = (1.5 − x1 (1−x2))+ (2.25−x1(1−x2))+ (2.625 − x1(1−x2))Txo= (0 , 0)24i-34i-1- x)4i4)4]219