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Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes.

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A highly efficient class of optimal fourth-order methods for solving nonlinear systems.

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Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations.

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Axioms, January, 2024

Increasing in three units the order of convergence of iterative methods for solving nonlinear systems.

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A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations.

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An iterative scheme to obtain multiple solutions simultaneously.

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Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota's Bilinear Technique.

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Symmetry, September, 2023

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A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve.

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Algorithms, March, 2023

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Symmetry, 2023

Introducing memory to a family of multi-step multidimensional iterative methods with weight function.

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CoRR, 2023

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Symmetry, 2022

Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory.

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Symmetry, 2022

On the effect of the multidimensional weight functions on the stability of iterative processes.

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An optimal and low computational cost fractional Newton-type method for solving nonlinear equations.

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Algorithms, 2022

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Symmetry, 2021

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Appl. Math. Comput., 2021

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Algorithms, 2021

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On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory.

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Symmetry, 2019

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Symmetry, 2019

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CoRR, 2019

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Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability.

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A fractional Newton method with 2αth-order of convergence and its stability.

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A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics.

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Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics.

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J. Comput. Appl. Math., 2018

Choosing the most stable members of Kou's family of iterative methods.

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Numerically stable improved Chebyshev-Halley type schemes for matrix sign function.

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A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?

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Stability of King's family of iterative methods with memory.

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On the convergence of a higher order family of methods and its dynamics.

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Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems.

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Complex., 2017

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Math. Comput. Simul., 2016

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Study of iterative methods through the Cayley Quadratic Test.

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Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE).

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Higinio Ramos

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Low-complexity root-finding iteration functions with no derivatives of any order of convergence.

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Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces.

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Towards a Better Learning Models Through OCWs and MOOCs.

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Int. J. Interact. Multim. Artif. Intell., 2015

Some new efficient multipoint iterative methods for solving nonlinear systems of equations.

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Dynamics of the family of c-iterative methods.

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Two weighted eight-order classes of iterative root-finding methods.

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On the local convergence of a fifth-order iterative method in Banach spaces.

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A new family of iterative methods widening areas of convergence.

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Construction of fourth-order optimal families of iterative methods and their dynamics.

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On developing fourth-order optimal families of methods for multiple roots and their dynamics.

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On the convergence of a damped Newton-like method with modified right hand side vector.

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On the convergence of a Damped Secant method with modified right-hand side vector.

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Numerical Solution of Turbulence Problems by Solving Burgers' Equation.

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Algorithms, 2015

Dynamics and Fractal Dimension of Steffensen-Type Methods.

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On improved three-step schemes with high efficiency index and their dynamics.

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Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane.

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Math. Comput. Simul., 2014

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On the extension of Householder's method for weighted Moore-Penrose inverse.

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Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation.

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Math. Comput. Model., 2013

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Math. Comput. Model., 2013

Increasing the order of convergence of iterative schemes for solving nonlinear systems.

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Study of the dynamics of third-order iterative methods on quadratic polynomials.

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Artificial satellites preliminary orbit determination by the modified high-order Gauss method.

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