Armijo method

The method of Armijo finds the optimum steplength for the search of candidate points to minimum

From a guess point is possible to obtain the next point, measured along a direction and distance dictated by the steplength of Armijo. The objective function to be minimized is calculated in the next step and if it satisfies the Armijo condition, so it has to be worth less than the starting point, it returns the optimal value of the step.