Steepest descent method to minimize a differentiable function of 2 variables

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Tom Reiland

Created: 2020-11-20 19:34:07, Last updated: 2020-11-20 19:34:07

The negative of the gradient (vector partial derivatives) of a differentiable function evaluated at a point (x1, x2) points in the direction of the fastest instantaneous rate of decrease of the function. This fact can be used to generate a sequence of points that leads to smaller and smaller values of the function. It is one of the first algorithms introduced in nonlinear programming courses. Reference: https://mathworld.wolfram.com/MethodofSteepestDescent.html

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