Memory based approaches to one-dimensional nonlinear models

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10) Numerical computation of roots of polynomial equations (65H04)

Cites Work

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Advances in iterative methods for nonlinear equations
Three-point methods with and without memory for solving nonlinear equations
Multipoint methods for solving nonlinear equations: a survey
Derivative free two-point methods with and without memory for solving nonlinear equations
Geometric constructions of iterative functions to solve nonlinear equations
Results on Newton methods. II: Perturbed Newton-like methods in generalized Banach spaces
Stability and applicability of iterative methods with memory
Some variants of Halley's method with memory and their applications for solving several chemical problems
Some real-life applications of a newly constructed derivative free iterative scheme
On a new family of high‐order iterative methods for the matrix pth root
Ball convergence of a novel Newton-Traub composition for solving equations
A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations
A Unified Convergence Theory for a Class of Iterative Processes
On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations
Two‐step iterative methods for multiple roots and their applications for solving several physical and chemical problems
From Halley to secant: redefining root finding with memory-based methods including convergence and stability

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