Abstract

MACIAS C, MAURICIO; MARTINEZ, HÉCTOR J  and  PEREZ, ROSANA. On the convergence of a secant method for nonlinear matrix equations. Integración - UIS [online]. 2014, vol.32, n.2, pp.181-197. ISSN 0120-419X.

In this paper we develop a general theory of convergence of a secant method to solve nonlinear matrix equations. In addition, we give sufficient conditions in order to this method provide a local and superlinearly convergent algorithm

Keywords : Matrix function; Fréchet operator; Fréchet differentiable; secant method; nonlinear matrix equation; superlinear convergence.

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