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Geometric constructions of iterative functions to solve nonlinear equations
A modified Chebyshev's iterative method with at least sixth order of convergence
On the stability of the PPH nonlinear multiresolution
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing
A nonlinear multiresolution scheme within Harten's framework is presented, based on a new nonlinear, centered piecewise polynomial interpolation technique, which shows promising results in terms of convergence, smoothness, and stability.
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
Chaotic dynamics of a third-order Newton-type method
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
This paper is devoted to the convergence and stability analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms and shows that if some contractivity properties are satisfied, then stability and convergence can be achieved.
Tensor product multiresolution analysis with error control for compact image representation
A two-step Steffensen's method under modified convergence conditions
Review of some iterative root-finding methods from a dynamical point of view
From a dynamical point of view applied to complex polynomials, we study a number of root–finding iterative methods. We consider Newton’s method, Newton’s method for multiple roots, Jarratt’s method,…