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Compare the efficiency of the optimal search (Fibonacci numbers) and the
Golden mean search for four and seven iterations.
Find minimum of F(x) = .3 x - exp(-x^2) , starting from the point
x_1= -4, by using Gradient Method, modified Newton method,
Quadratic approximation. Perform three iterations. Compare.
Use Secant and Newton method to solve the equation: ln(1+ x) -3=0,
x_1= 0
Perform three first iteration for the global search of F(x) = x^(1/2) cos(x),
0 <x < 4, by bounding its gradient.
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Jan. 23 |