Solution of systems of general-form nonlinear algebraic equations. Methods and algorithms. IV

This paper considers the solution of a system of m nonlinear equations in q ≥ 2 variables (SNAE-q). A method for finding all of the finite zero-dimensional roots of a given SNAE-q, which extends the method suggested previously for q = 2 and q = 3 to the case q ≥ 2, is developed and theoretically justified. This method is based on the algorithm of the ΔW-q factorization of a polynomial q-parameter matrix and on the algorithm of relative factorization of a scalar polynomial in q variables. © 2000 Kluwer Academic/Plenum Publishers.