Juan R. Torregrosa

Renso V. Rojas-Hiciano

Numer. Algorithms, April, 2024

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

[BibT_eX]

[DOI]

Axioms, January, 2024

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

[BibT_eX]

[DOI]

Algorithms, 2024

2023

An iterative scheme to obtain multiple solutions simultaneously.

[BibT_eX]

[DOI]

Muhammad Zafarullah Baber

Appl. Math. Lett., November, 2023

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

[BibT_eX]

[DOI]

Baboucarr Ceesay

Symmetry, September, 2023

Generalized conformable fractional Newton-type method for solving nonlinear systems.

[BibT_eX]

[DOI]

Numer. Algorithms, July, 2023

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

[BibT_eX]

[DOI]

Algorithms, March, 2023

Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems.

[BibT_eX]

[DOI]

Javier García-Maimó

Antmel Rodríguez-Cabral

Algorithms, March, 2023

Editorial Conclusion for the Special Issue "Fixed Point Theory and Computational Analysis with Applications".

[BibT_eX]

[DOI]

Symmetry, 2023

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

[BibT_eX]

[DOI]

Eva G. Villalba

CoRR, 2023

2022

New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction.

[BibT_eX]

[DOI]

Symmetry, 2022

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

[BibT_eX]

[DOI]

Symmetry, 2022

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

High order family of multivariate iterative methods: Convergence and stability.

[BibT_eX]

[DOI]

Ramandeep Behl

J. Comput. Appl. Math., 2022

A new higher-order optimal derivative free scheme for multiple roots.

[BibT_eX]

[DOI]

Ramandeep Behl

J. Comput. Appl. Math., 2022

Iterative schemes for finding all roots simultaneously of nonlinear equations.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2022

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

[BibT_eX]

[DOI]

Appl. Math. Lett., 2022

Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods.

[BibT_eX]

[DOI]

Miguel A. Leonardo Sepúlveda

Algorithms, 2022

2021

A General Optimal Iterative Scheme with Arbitrary Order of Convergence.

[BibT_eX]

[DOI]

Symmetry, 2021

New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis.

[BibT_eX]

[DOI]

Numer. Algorithms, 2021

Semilocal Convergence of the Extension of Chun's Method.

[BibT_eX]

[DOI]

Axioms, 2021

A general class of arbitrary order iterative methods for computing generalized inverses.

[BibT_eX]

[DOI]

Pablo Soto-Quiros

Appl. Math. Comput., 2021

Chaos and Stability in a New Iterative Family for Solving Nonlinear Equations.

[BibT_eX]

[DOI]

Marlon Moscoso-Martínez

Algorithms, 2021

2020

Anomalies in the convergence of Traub-type methods with memory.

[BibT_eX]

[DOI]

Comput. Math. Methods, 2020

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

[BibT_eX]

[DOI]

Appl. Math. Lett., 2020

2019

A Variant of Chebyshev's Method with 3αth-Order of Convergence by Using Fractional Derivatives.

[BibT_eX]

[DOI]

Ivan Girona

Symmetry, 2019

Fixed Point Root-Finding Methods of Fourth-Order of Convergence.

[BibT_eX]

[DOI]

Lucia Guasp

Symmetry, 2019

A Convex Combination Approach for Mean-Based Variants of Newton's Method.

[BibT_eX]

[DOI]

Symmetry, 2019

Stability analysis of a family of optimal fourth-order methods for multiple roots.

[BibT_eX]

[DOI]

Fiza Zafar

Numer. Algorithms, 2019

Dynamical Analysis to Explain the numerical Anomalies in the family of Ermakov-Kalitlin Type Methods.

[BibT_eX]

[DOI]

Math. Model. Anal., 2019

Dynamics of iterative families with memory based on weight functions procedure.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2019

A fast algorithm to solve systems of nonlinear equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2019

A fractional Traub method with (2α+1)th-order of convergence and its stability.

[BibT_eX]

[DOI]

Giro Candelario

CoRR, 2019

A class of four parametric with- and without-memory root finding methods.

[BibT_eX]

[DOI]

Comput. Math. Methods, 2019

Wide stability in a new family of optimal fourth-order iterative methods.

[BibT_eX]

[DOI]

Comput. Math. Methods, 2019

Stability Anomalies of Some Jacobian-Free Iterative Methods of High Order of Convergence.

[BibT_eX]

[DOI]

Axioms, 2019

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

[BibT_eX]

[DOI]

Axioms, 2019

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

[BibT_eX]

[DOI]

Ali Akgül

Appl. Math. Lett., 2019

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2019

Stability Analysis of Jacobian-Free Newton's Iterative Method.

[BibT_eX]

[DOI]

Algorithms, 2019

2018

An eighth-order family of optimal multiple root finders and its dynamics.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2018

Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5.

[BibT_eX]

[DOI]

Esther Sanabria-Codesal

J. Comput. Appl. Math., 2018

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

[BibT_eX]

[DOI]

Lucia Guasp

J. Comput. Appl. Math., 2018

Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems.

[BibT_eX]

[DOI]

J. Enrique Vázquez-Lozano

J. Comput. Appl. Math., 2018

Corrigendum to "Dynamical Techniques for Analyzing Iterative Schemes with Memory".

[BibT_eX]

[DOI]

Complex., 2018

Dynamical Techniques for Analyzing Iterative Schemes with Memory.

[BibT_eX]

[DOI]

Complex., 2018

Dynamical analysis on cubic polynomials of Damped Traub's method for approximating multiple roots.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2018

Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2018

A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function.

[BibT_eX]

[DOI]

Fiza Zafar

Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method.

[BibT_eX]

[DOI]

Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Multidimensional Real Dynamics for High-Order Processes.

[BibT_eX]

[DOI]

Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Stability of a Family of Iterative Methods of Fourth-Order.

[BibT_eX]

[DOI]

Lucia Guasp

Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations.

[BibT_eX]

[DOI]

Ivan Giménez

Proceedings of the Finite Difference Methods. Theory and Applications, 2018

2017

A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

Stability of a fourth order bi-parametric family of iterative methods.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

Third-degree anomalies of Traub's method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

Esther Gómez

Complex., 2017

King-Type Derivative-Free Iterative Families: Real and Memory Dynamics.

[BibT_eX]

[DOI]

Complex., 2017

A family of Kurchatov-type methods and its stability.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

Stable high-order iterative methods for solving nonlinear models.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

Design and multidimensional extension of iterative methods for solving nonlinear problems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

2016

A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

An optimal fourth-order family of methods for multiple roots and its dynamics.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

Damped Traub's method: Convergence and stability.

[BibT_eX]

[DOI]

Alfredo Ferrero

Math. Comput. Simul., 2016

Mathematical modeling and computational methods.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

Stability study of eighth-order iterative methods for solving nonlinear equations.

[BibT_eX]

[DOI]

Carlos Quemada

J. Comput. Appl. Math., 2016

Study of iterative methods through the Cayley Quadratic Test.

[BibT_eX]

[DOI]

D. K. R. Babajee

J. Comput. Appl. Math., 2016

Stability analysis of a parametric family of iterative methods for solving nonlinear models.

[BibT_eX]

[DOI]

José Manuel Gutiérrez Jiménez

Appl. Math. Comput., 2016

Dynamics of a multipoint variant of Chebyshev-Halley's family.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

New efficient methods for solving nonlinear systems of equations with arbitrary even order.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

2015

An efficient two-parametric family with memory for nonlinear equations.

[BibT_eX]

[DOI]

Numer. Algorithms, 2015

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

One-point Newton-type iterative methods: A unified point of view.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

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

[BibT_eX]

[DOI]

Miguel Ángel Hernández-Verón

Natalia Romero Álvarez

J. Comput. Appl. Math., 2015

Towards a Better Learning Models Through OCWs and MOOCs.

[BibT_eX]

[DOI]

Esther Sanabria-Codesal

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

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

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2015

Dynamics of the family of c-iterative methods.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2015

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

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2015

A stable family with high order of convergence for solving nonlinear equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

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

[BibT_eX]

[DOI]

Miguel Ángel Hernández-Verón

José Antonio Ezquerro

Appl. Math. Comput., 2015

A multidimensional dynamical approach to iterative methods with memory.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

A new family of iterative methods widening areas of convergence.

[BibT_eX]

[DOI]

Dzmitry A. Budzko

Appl. Math. Comput., 2015

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

Numerical Solution of Turbulence Problems by Solving Burgers' Equation.

[BibT_eX]

[DOI]

Antonio Franques

Algorithms, 2015

Dynamics and Fractal Dimension of Steffensen-Type Methods.

[BibT_eX]

[DOI]

Algorithms, 2015

2014

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2014

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

[BibT_eX]

[DOI]

José Manuel Gutiérrez Jiménez

Math. Comput. Simul., 2014

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014.

[BibT_eX]

[DOI]

J. Appl. Math., 2014

Basins of Attraction for Various Steffensen-Type Methods.

[BibT_eX]

[DOI]

J. Appl. Math., 2014

Optimal High-Order Methods for Solving Nonlinear Equations.

[BibT_eX]

[DOI]

J. Appl. Math., 2014

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?

[BibT_eX]

[DOI]

Fazlollah Soleymani

Appl. Math. Comput., 2014

A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

2013

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

[BibT_eX]

[DOI]

Math. Comput. Model., 2013

Derivative-free high-order methods applied to preliminary orbit determination.

[BibT_eX]

[DOI]

Francisco Chicharro

Math. Comput. Model., 2013

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2013

A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2013

Iterative Methods for Nonlinear Equations or Systems and Their Applications.

[BibT_eX]

[DOI]

J. Appl. Math., 2013

Period-doubling bifurcations in the family of Chebyshev-Halley-type methods.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2013

Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2013

Chaos in King's iterative family.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2013

Dynamics of a family of Chebyshev-Halley type methods.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2013

Complex dynamics of derivative-free methods for nonlinear equations.

[BibT_eX]

[DOI]

Francisco Chicharro

José Manuel Gutiérrez Jiménez

Appl. Math. Comput., 2013

2012

Steffensen type methods for solving nonlinear equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems.

[BibT_eX]

[DOI]

Diyashvir Kreetee Rajiv Babajee

J. Appl. Math., 2012

A Family of Iterative Methods with Accelerated Eighth-Order Convergence.

[BibT_eX]

[DOI]

J. Appl. Math., 2012

On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations.

[BibT_eX]

[DOI]

Fazlollah Soleymani

J. Appl. Math., 2012

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

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2012

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

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2012

Increasing the convergence order of an iterative method for nonlinear systems.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2012

Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems.

[BibT_eX]

[DOI]

Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2011

Fuzzy control for obstacle detection in stereo video sequences.

[BibT_eX]

[DOI]

Math. Comput. Model., 2011

Approximation of artificial satellites' preliminary orbits: The efficiency challenge.

[BibT_eX]

[DOI]

Víctor Arroyo

Math. Comput. Model., 2011

Three-step iterative methods with optimal eighth-order convergence.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

A family of modified Ostrowski's methods with optimal eighth order of convergence.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2011

A class of Steffensen type methods with optimal order of convergence.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2011

Efficient high-order methods based on golden ratio for nonlinear systems.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2011

Some results about inverse-positive matrices.

[BibT_eX]

[DOI]

Manuel F. Abad

María T. Gassó

Appl. Math. Comput., 2011

2010

A modified Newton-Jarratt's composition.

[BibT_eX]

[DOI]

Numer. Algorithms, 2010

Efficient three-step iterative methods with sixth order convergence for nonlinear equations.

[BibT_eX]

[DOI]

Numer. Algorithms, 2010

Fuzzy control for obstacle detection in object tracking.

[BibT_eX]

[DOI]

Eduardo Parrilla

Jaime Riera

Math. Comput. Model., 2010

A family of iterative methods with sixth and seventh order convergence for nonlinear equations.

[BibT_eX]

[DOI]

Math. Comput. Model., 2010

Iterative methods for use with nonlinear discrete algebraic models.

[BibT_eX]

[DOI]

Math. Comput. Model., 2010

On interpolation variants of Newton's method for functions of several variables.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

Accelerated methods of order 2p for systems of nonlinear equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

2009

Handling occlusion in object tracking in stereoscopic video sequences.

[BibT_eX]

[DOI]

Math. Comput. Model., 2009

The number of viable ecological trophic networks.

[BibT_eX]

[DOI]

Math. Comput. Model., 2009

Iterative methods of order four and five for systems of nonlinear equations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2009

N0 completions on partial matrices.

[BibT_eX]

[DOI]

C. Mendes Araújo

Appl. Math. Comput., 2009

Third order iterative methods free from second derivative for nonlinear systems.

[BibT_eX]

[DOI]

José L. Hueso

Appl. Math. Comput., 2009

Third and fourth order iterative methods free from second derivative for nonlinear systems.

[BibT_eX]

[DOI]

José L. Hueso

Appl. Math. Comput., 2009

2008

Handling occlusion in optical flow algorithms for object tracking.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2008

A note on some three-step iterative methods for nonlinear equations.

[BibT_eX]

[DOI]

José L. Hueso

Appl. Math. Comput., 2008

A class of multi-point iterative methods for nonlinear equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2008

2007

A class of totally positive P-matrices whose inverses are M-matrices.

[BibT_eX]

[DOI]

Maite Gassó

Appl. Math. Lett., 2007

Variants of Newton's Method using fifth-order quadrature formulas.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2007

2006

Variants of Newton's method for functions of several variables.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2006

Bidiagonal Factorization of Totally Nonnegative Rectangular Matrices.

[BibT_eX]

[DOI]

Maite Gassó

Proceedings of the Positive Systems, 2006

2004

A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination.

[BibT_eX]

[DOI]

Maite Gassó

SIAM J. Matrix Anal. Appl., 2004

2003

Paths and Cycles in the Totally Positive Completion Problem.

[BibT_eX]

[DOI]

Proceedings of the Positive Systems, 2003

2002

r-Numbers completion problems of partial upper canonical form II.

[BibT_eX]

[DOI]

Ana M. Urbano

Appl. Math. Lett., 2002

r-Numbers completion problems of partial upper canonical form I.

[BibT_eX]

[DOI]

Ana M. Urbano

Appl. Math. Lett., 2002

Inverse M-matrix completion problem with zeros in the inverse completion.

[BibT_eX]

[DOI]