Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition

Authors:
M. L. N. GonçAlves
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2013

Citing 7
Cited 0

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Abstract

A local convergence analysis of the Gauss-Newton method for solving injective-overdetermined systems of nonlinear equations under a majorant condition is provided. The convergence as well as results on its rate are established without a convexity hypothesis on the derivative of the majorant function. The optimal convergence radius, the biggest range for uniqueness of the solution along with some other special cases are also obtained.