A Multiobjective Optimization Algorithm to Solve Nonlinear Systems
نویسنده
چکیده
In this paper a computational method to find the solutions of a system of nonlinear equations as the utopia points of a suitable multiobjective optimization problem is proposed. These utopia points are points that minimize/maximize all the objective functions of the multiobjective problem at once. The proposed algorithm finds the utopia points as limit points of trajectories which are solutions of suitable initial value problems for ordinary differential equations. Moreover, it is locally convergent and even works when the number of unknowns is greater than the number of equations. The computational method has been validated on several test problems. A comparison with “fminsearch” Matlab solver has also been carried out. Mathematics Subject Classification: 65K05, 90C29
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