Simplex-fruit fly optimization algorithm for solving systems of non-linear equations

It is proposed that a hybrid algorithm to solve systems of non-linear equations based on fruit fly optimization algorithm (FOA) in the paper. In consideration of the imperfections that the low computation accuracy of the basic FOA algorithm and simplex method (SM) easily falls into local optimum, we present the simplex fruit fly optimization algorithm (SFOA) by combing FOA and SM, which has strong global and local searching abilities, in order to avoid the shortcomings existing in the basic algorithms. The results of calculation examples show that the SFOA algorithm can achieve a higher convergence accuracy and reliability, and therefore a brand new global solution strategy is provided to solve systems of non-linear equations.