11 Stairs: A Novel Multivariate Optimization Method Based on a Univariate Approach
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This article proposes a novel method for multivariate optimization unconstrained named Stairs, based on optimization in one variable. The proposed method is compared against methods from the specialized literature such as the Multivariate Newton-Raphson and the Multivariate Fletcher-Powell. The instances of the problems were taken from real life situations. For a real comparison, metrics such as Number of Iterations, Number of Instructions and Processing time were taken into account. Stairs showed a speed improvement relative to the compared methods in problems that include difficult differentiation because it does not use matrix operations.