A multi-iterate method to solve systems of nonlinear equations

Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation

“…All practical approaches to solve such a nonlinear system are iterative and currently, there are much interests for finding a more efficient method for solving such nonlinear systems, e.g. see [2,7,11,18], and [19]. System of Eq.…”

On Broyden-like update via some quadratures for solving nonlinear systems of equations

“…From the early 1970s, there has been serious attention paid to the issue of reducing the amount of storage required for the iterative methods. Several modifications of Broyden's method were given in order to reduce its computational cost; see, for example, [1,3,5,9,15,16,18,24] and references therein. The Broyden rank reduction method involves approaching the update matrix by a low-rank matrix.…”