6. Let gk = f(xk). Suppose f(x) is quadratic with a Hessian Q. We choose the direction dk+1 Vkgk +1 + dk, and we wish th

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6 Let Gk F Xk Suppose F X Is Quadratic With A Hessian Q We Choose The Direction Dk 1 Vkgk 1 Dk And We Wish Th 1 (71.89 KiB) Viewed 92 times

6. Let gk = f(xk). Suppose f(x) is quadratic with a Hessian Q. We choose the direction dk+1 Vkgk +1 + dk, and we wish the directions dk and dk+1 to be Q-conjugate. Find the formula for rk in terms of dk, gk+1 and Q. Use the following information to calculate the value of yk, [2 marks] gk+1 = (-3,0, -1)", d' = [1,2,1)", and Q= 3 0 1 0 4 2 1 2 3