What happens in Example I of Sec. 22.1 if you replace the function fex) = X1 2 + 3X22 by

Chapter 22, Problem 22.1.63

(choose chapter or problem)

What happens in Example 1 of Sec. 22.1 if you replace the function \(f(x)=x_{1}{ }^{2}+3{x_{2}}^{2}\) by \(f(x)=x_{1}{ }^{2}+5 x_{2}{ }^{2}\)? Do 5 steps, starting from \(x_{0}= [6  3]^{T}\). Is the convergence faster or slower?

Text Transcription:

f(x) = x_{1}{ }^{2} + 3{x_{2}}^{2}

f(x) = x_{1}{ }^{2} + 5x_{2}{ }^{2}

x_{0} = [6  3]^{T}