Abstract

QUEMADA-VILLAGOMEZ, Miriam Lucero; LOPEZ-GONZALEZ, María de la Luz; OLIVEROS-MUNOZ, Juan Manuel  and  JIMENEZ-ISLAS, Hugo. Teaching the homotopic continuation method with hyperspherical tracking for engineering students. Acta univ [online]. 2022, vol.32, e3358.  Epub Aug 28, 2023. ISSN 2007-9621.  https://doi.org/10.15174/au.2022.3358.

Homotopic continuation is a global convergence numerical method that allows finding solutions to systems of nonlinear algebraic equations; however, it is not widely used as a standardized method due to its apparent complexity. This work presents, in an educational way, the homotopic continuation method with hyperspherical tracking applied in the resolution of nonlinear algebraic equations systems reported in the literature, which are present in various areas of engineering.

Keywords : Algebraic equations; homotopy; homotopic continuation; hyperspheric tracking.

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