Solved: Apply the method of steepest descent to f(x) =

Chapter 22, Problem 22.1.64

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Apply the method of steepest descent to \(f(x)=9 x_{1}^{2}+x_{2}^{2}+18 x_{1}-4 x_{2},\) 5 steps, starting from \(\mathbf{x}_{0}=\left[\begin{array}{ll}2 & 4\end{array}\right]^{\top}\).

Text Transcription:

f(x) = 9x_{1}^{2} + x_{2}^{2} + 18x_{1} - 4x_{2}

x_{0} = [2  4]^{top}