## Moderator: Gaurav Saha

Gaurav Saha ♦

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#### Posts by Gaurav Saha

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The Newton Method

... Q:- Minimize $f(x_1,x_2)=2x_1-2x_2+2x_1^2+2x_1x_2+x_2^2 $ starting from the point
$\begin{equation}X_1=\begin{bmatrix}0\\0\end{bmatrix}\end{equation}$
Solution:- $X_{1+i} = X_i-[J_i]^{-1}\nabla f_i$
and
$\begin{equation} \nabla f=\begin{bmatrix} \frac{\partial f}{\partial x_1}\\ \frac{\part ...

written 6 weeks ago by
Gaurav Saha ♦

**0**• updated 5 weeks ago by Sanket Shingote ♦♦**250**0

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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 . ...

written 6 weeks ago by
Gaurav Saha ♦

**0**• updated 5 weeks ago by Syedahina Mohi ♦**0**#### Latest awards to Gaurav Saha

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