The purpose of this paper is to analyze the modified three-step iterative scheme for solving nonlinear operator equations in real Banach spaces. Our results can be viewed as an extension of three-step and two-step iterative schemes of Glowinski and Le ...
In this paper we present an algorithm for the numerical solution of (1.1) which is quadratically convergent and requires only (N2/2 + 3N/2) function evaluations per iterative step as compared with (N2 + N) evaluations for Newton's Method. Brown [1] has ...
In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we show that when applied to solve symmetric nonlinear ...
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