TITLE:
A Method for Solving Global Minimization Problems and Systems of Nonlinear Equations
AUTHORS:
Ivan Raykov
KEYWORDS:
Continuous Differentiable Functions, Global Minimum, Global Minimization Algorithm, Iterative Procedure, Composite Functions, Systems of Nonlinear Equations
JOURNAL NAME:
Applied Mathematics,
Vol.17 No.10,
October
30,
2026
ABSTRACT: In this work, we introduce a method of finding the global minimum of bounded from below functions with continuous partial derivatives in an Euclidean space
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with existing finite points of the global minimum. We create a function that finds the zeros of the sign function of the sum of the squares of the partial derivatives of the function to minimize. We can solve with this method also systems of simultaneous continuous nonlinear equations. We create, in that case, a function that finds the zeros of the sign function of the sum of the squares of the equations of the system to solve.