A generalization of the Newton-Kantorovich method for systems of nonlinear real equations

1Chuiko, SM
1Donbass State Pedagogical University, Slovyansk
Dopov. Nac. akad. nauk Ukr. 2020, 3:3-9
https://doi.org/10.15407/dopovidi2020.03.003
Section: Mathematics
Language: Russian
Abstract: 

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.

Keywords: half-inverse matrix, matrix pseudoinverse by Moore—Penrose, modification of Newton—Kantorovich method, nonlinear real equations
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