A Multi-Simplex Imperialist Competitive Paradigm for Solving Nonlinear Physical Systems

This paper proposes a novel gradient free multi-simplex topology fabric aided imperialist competitive algorithm (ICA) for solving nonlinear systems of algebraic equations by transforming them to equivalent global optimization problems. The high dependence traditional based solvers such on initial guesses and the Jacobeans resulting in false convergence is main motivation behind present work. work provides mechanism enhancing exploitation powers search phase hence improves speed. variants emerging from proposed approach are applied diverse arising different scientific areas results so obtained analyzed details. Based analysis empirical complex benchmark models, it observed that enhancement ICA has not only boosted problem power system when multidimensional physical but also emerged as an efficient gradient/initial guess alternative solver with accuracy systems.