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Question 1: Consider the following multi-variate nonlinear function: f(x1,x2)=9x12+x223x1x2+15x1x2+5 Implement the Steepest Descent Method to find a stationary point of f(x1,x2). Pick x0=[150150] as the
Question 1: Consider the following multi-variate nonlinear function: f(x1,x2)=9x12+x223x1x2+15x1x2+5 Implement the Steepest Descent Method to find a stationary point of f(x1,x2). Pick x0=[150150] as the starting point and =0.01 as the precision level. For the exact line search to find the steplength, use the Bisection Method with the parameters [a,b]=[100,100] and =0.01. Utilize Python or MATLAB for the implementation. 1. Analytically calculate the stationary points of f(x1,x2) and discuss their types (local max,min,) 2. Give the surface plot of the function f(x1,x2). 3. Implement the Steepest Descent Method in order to find a stationary point of f(x1,x2)
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