A generalization of the Newton-Kantorovich method for systems of nonlinear real equations
DOI:
https://doi.org/10.15407/dopovidi2020.03.003Keywords:
half-inverse matrix, matrix pseudoinverse by Moore—Penrose, modification of Newton—Kantorovich method, nonlinear real equationsAbstract
Constructive conditions for the solvability and an iterative scheme of finding the solutions of systems of nonli near real equations in the case of a Jacobian with constant rank are obtained. The results are a generalization of the Newton-Kantorovich method for systems of nonlinear real equations, the number of components of which does not coincide with the number of the unknowns.
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