Revista Integración
ISSN 0120-419X
MACIAS C, MAURICIO; MARTINEZ, HÉCTOR J PEREZ, ROSANA. On the convergence of a secant method for nonlinear matrix equations. []. , 32, 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
: Matrix function; Fréchet operator; Fréchet differentiable; secant method; nonlinear matrix equation; superlinear convergence.