گرادیان کاهشی

${\displaystyle \nabla f(x_{1},x_{2})={\begin{bmatrix}-2\times (1-x_{1})-400\times (x_{2}-{x_{1}}^{2})\times x_{1}\\200\times (x_{2}-{x_{1}}^{2})\end{bmatrix}}}$

${\displaystyle {\begin{bmatrix}x_{1}^{n+1}\\x_{2}^{n+1}\end{bmatrix}}={\begin{bmatrix}x_{1}^{n}\\x_{2}^{n}\end{bmatrix}}-0.1\times {\begin{bmatrix}-2\times (1-x_{1}^{n})-400\times (x_{2}^{n}-{x_{1}^{n}}^{2})\times x_{1}^{n}\\200\times (x_{2}^{n}-{x_{1}^{n}}^{2})\end{bmatrix}}}$