To the generalization of the Newton-Kantorovich theorem.
DOI:
https://doi.org/10.26565/2221-5646-2017-85-05Keywords:
Newton-Kantorovich method; iterative scheme; nonlinear equation; pseudoinverse matrices.Abstract
Constructive conditions for solvability are obtained, as well as an iterative scheme for finding solutions of the nonlinear equation that generalize the well-known Newton-Kantorovich theorem. The case of a nonlinear equation whose dimension does not coincide with the dimension of the unknown has been researched.
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