4. Consider the function f (x) = 2x +3x +10x, +x,x, +3x,x, + x,x3 +2x, +x3...
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4. Consider the function f (x) = 2x +3x +10x, +x,x, +3x,x, + x,x3 +2x, +x3 +5 where x=[x,,x,,x3]' eR'.Suppose that we use a fixed-step-size gradient algorithm to find the || minimize of f: xlk+1) = x(k) – aVf (x") Find the largest range of value of a for which the algorithm is globally convergent. 4. Consider the function f (x) = 2x +3x +10x, +x,x, +3x,x, + x,x3 +2x, +x3 +5 where x=[x,,x,,x3]' eR'.Suppose that we use a fixed-step-size gradient algorithm to find the || minimize of f: xlk+1) = x(k) – aVf (x") Find the largest range of value of a for which the algorithm is globally convergent.
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