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This paper shows the development of the minimization method in a variable called "Armijo Rule", a method that goes into the selected denomination of line search methods. The intermediate sections show the optimization methods based on direct search and search with descent directions in such a way that the reader has enough information to choose one method or another depending on their optimization problem, whether it is linear optimization with restrictions, non-linear optimization unlimiteddoi:10.12988/ces.2018.8121 fatcat:h6dmdoipqrhclkpy4xuhv6l454