Homotopies exploiting Newton polytopes for solving sparse polynomial systems
SIAM Journal on Numerical Analysis
A family of multi-point iterative methods for solving systems of nonlinear equations
Journal of Computational and Applied Mathematics
Conjugate direction particle swarm optimization solving systems of nonlinear equations
Computers & Mathematics with Applications
Imperialist Competitive Algorithm Using Chaos Theory for Optimization (CICA)
UKSIM '10 Proceedings of the 2010 12th International Conference on Computer Modelling and Simulation
Solving the integrated product mix-outsourcing problem using the Imperialist Competitive Algorithm
Expert Systems with Applications: An International Journal
A new filled function method for an unconstrained nonlinear equation
Journal of Computational and Applied Mathematics
Particle swarm algorithm for solving systems of nonlinear equations
Computers & Mathematics with Applications
A New Approach for Solving Nonlinear Equations Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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Solving systems of nonlinear equations is a relatively complicated problem in which arise a diverse range of sciences. There are a number of different approaches that have been proposed. In this paper, we employ the imperialist competitive algorithm (ICA) for solving systems of nonlinear equations. Some well-known problems are presented to demonstrate the efficiency of this new robust optimization method in comparison to other known methods.