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A Kantorovich-type convergence analysis for the quasi-Gauss-Newton method. (English) Zbl 0872.65044
The author considers a quasi-Gauss-Newton-method for finding a solution to a system of nonlinear algebraic equations \(f(x)=0\) in \(\mathbb{R}^n\). He shows theoretically that the iterates \(x_k\) converge to a root by means of a Kantorovich-type convergence analysis with a superlinear rate of convergence.

MSC:
65H10 Numerical computation of solutions to systems of equations
26C10 Real polynomials: location of zeros
12Y05 Computational aspects of field theory and polynomials (MSC2010)
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