Trust-region methods adjust the radius $\Delta_k$ based on the ratio $\rho_k = (f(x_k) - f(x_k+p_k))/(m_k(0) - m_k(p_k))$. What does $\rho_k$ measure?

Trust Region Methods

1 selectedDifficulty 5-51 unseenView topic

IntermediateNew

0 answered

1 intermediateAdapts to your performance

Question 1 of 1

120sintermediate (5/10)state theorem

Trust-region methods adjust the radius Δ_{k} based on the ratio ρ_{k} = (f (x_{k}) - f (x_{k} + p_{k})) / (m_{k} (0) - m_{k} (p_{k})) . What does ρ_{k} measure?