Question: Consider the function U = (x - 1)2 + 3(y - 2)2. (a) By inspection, find its minimum. (b) Start at an arbitrary point x1,

Consider the function U = (x - 1)2 + 3(y - 2)2.
(a) By inspection, find its minimum.
(b) Start at an arbitrary point x1, y1 and show that the Newton-Raphson equation (15.72) with all partial derivatives evaluated exactly from U gives the minimum in one step.

UWUYA - UWUXI UQUW - UQUX - UWUrI UWUW - (UW)? Y,1 XX X2 = X1 + Y2 = Y1 + (UW)2" XY

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a The minimum is at x 1 y 2 since U is zero at this point and is positive at every other poin... View full answer

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