## Moderator: Gaurav Saha

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#### Posts by Gaurav Saha

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... Q:- Minimize $f(x_1,x_2)=2x_1-2x_2+2x_1^2+2x_1x_2+x_2^2$ starting from the point $$$X_1=\begin{bmatrix}0\\0\end{bmatrix}$$$ Solution:- $X_{1+i} = X_i-[J_i]^{-1}\nabla f_i$ and $\nabla f=\begin{bmatrix} \frac{\partial f}{\partial x_1}\\ \frac{\part ... written 6 weeks ago by Gaurav Saha0 • updated 5 weeks ago by Sanket Shingote ♦♦ 250 0 answers 86 views 0 answers Page: The Steepest Descent ... The Steepest Descent method, also called the Cauchy Method ,was put forward by Cauchy in 1857. In this method, we choose an initial point$X_1\$ and iteratively move along the steepest descent direction to find the optimum point. Minimization occurs in the negative direction of the gradient vector . ...