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Question

1. Let f R R be the objective function given by 5 a a. Express f(r) in the form f(a) a, r) (b, a). b. Find the minimizer of f using the conjugate gradient algorithm with starting point no (0,0) c. Calculate the minimizer of f explicitly from Q and b, and check it with your answer in part b.

Solution

xxx conjugate xxxxxxxx xxxxxx xx used xxx the xxxxxxxxx xxxxxxxx xx particular xyxxxxx of xxxxxx xxxxxxxxx, xxxxxy those xxxxx matrix xx xyxxxxxxx xxx positive-definite.

xx first xx xxxx xx check xx the xxxxx xxxxxxxxxxxxxx xxxx is xyxxxxxxx and xxxxxxxx xxxxxxxx xx not.

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