Ioannis K. Argyros

发表

Convergence and Dynamics of a Higher-Order Method

Alejandro Moysi, Ioannis K. Argyros, Samundra Regmi, 2020, Symmetry.

Local Convergence of Solvers with Eighth Order Having Weak Conditions

Ioannis K. Argyros, Ramandeep Behl, I. Argyros, 2020, Symmetry.

On Ulm’s method using divided differences of order one

Ioannis K. Argyros, I. Argyros, 2009, Numerical Algorithms.

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014

Alicia Cordero, Juan R. Torregrosa, Ioannis K. Argyros, 2014, J. Appl. Math..

On the local and semilocal convergence of a parameterized multi-step Newton method

Ioannis K. Argyros, Sergio Amat, Sonia Busquier, 2020, J. Comput. Appl. Math..

New semilocal and local convergence analysis for the Secant method

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2015, Appl. Math. Comput..

Local convergence of iterative methods for solving equations and system of equations using weight function techniques

José António Tenreiro Machado, Ioannis K. Argyros, Ramandeep Behl, 2019, Appl. Math. Comput..

Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa, 2015, Algorithms.

A Fréchet derivative-free cubically convergent method for set-valued maps

Ioannis K. Argyros, Saïd Hilout, 2008, Numerical Algorithms.

Majorizing functions and two-point Newton-type methods

Ravi P. Agarwal, Ioannis K. Argyros, Jinhai Chen, 2010, J. Comput. Appl. Math..

On the convergence of two-step methods generated by point-to-point operators

Ioannis K. Argyros, 1999, Appl. Math. Comput..

Extending the domain of starting points for Newton's method under conditions on the second derivative

Ioannis K. Argyros, Ángel Alberto Magreñán, Miguel Ángel Hernández, 2018, J. Comput. Appl. Math..

A unifying theorem for Newton's method on spaces with a convergence structure

Ioannis K. Argyros, Saïd Hilout, 2011, J. Complex..

Sixth-order iterative methods

Á. Alberto Magreñán, Ioannis K. Argyros, 2017 .

On an improved convergence analysis of Newton's method

Ioannis K. Argyros, Saïd Hilout, 2013, Appl. Math. Comput..

On the local convergence study for an efficient k-step iterative method

Ioannis K. Argyros, Sergio Amat, Eulalia Martínez, 2018, J. Comput. Appl. Math..

A new iterative method of asymptotic order 1+√2 for the computation of fixed points

Ioannis K. Argyros, I. Argyros, 2005, Int. J. Comput. Math..

On the Kurchatov method for solving equations under weak conditions

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2016, Appl. Math. Comput..

On the Solution of Equations by Extended Discretization

Ioannis K. Argyros, Samundra Regmi, Gus I. Argyros, 2020, Comput..

On a class of secant-like methods for solving nonlinear equations

Ioannis K. Argyros, I. Argyros, 2010, Numerical Algorithms.

On an iterative method for unconstrained optimization

Ioannis K. Argyros, 2015 .

Introduction to complex dynamics

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2018 .

Extending the Newton-Kantorovich hypothesis for solving equations

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010, J. Comput. Appl. Math..

TWO CONTEMPORARY COMPUTATIONAL ASPECTS OF NUMERICAL ANALYSIS

Ioannis K. Argyros, 2000 .

Expanding the applicability of the Secant method under weaker conditions

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2015, Appl. Math. Comput..

A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions

Ioannis K. Argyros, I. Argyros, 1990, Computing.

Developments on the Convergence of Some Iterative Methods

Á. Alberto Magreñán, Ioannis K. Argyros, Juan Antonio Sicilia, 2017 .

On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2016, J. Comput. Appl. Math..

An extension of a theorem by Wang for Smale’s α-theory and applications

Ioannis K. Argyros, Ángel Alberto Magreñán, 2014, Numerical Algorithms.

Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems

Ioannis K. Argyros, Yeol Je Cho, Narin Petrot, 2010, Comput. Math. Appl..

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2013, J. Comput. Appl. Math..

A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems

Ioannis K. Argyros, Poom Kumam, Nasser Aedh Alreshidi, 2020, Symmetry.

Sixth order derivative free family of iterative methods

Ioannis K. Argyros, Sanjay Kumar Khattri, I. Argyros, 2011, Appl. Math. Comput..

Domain of parameters

Á. Alberto Magreñán, Ioannis K. Argyros, 2019 .

New Improvement of the Domain of Parameters for Newton’s Method

Ioannis K. Argyros, Samundra Regmi, Daniel González, 2020 .

New conditions for the convergence of Newton-like methods and applications

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2012, Appl. Math. Comput..

Majorizing sequences for iterative procedures in Banach spaces

Ioannis K. Argyros, Saïd Hilout, 2012, J. Complex..

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

Alicia Cordero, Juan R. Torregrosa, Ioannis K. Argyros, 2015, Appl. Math. Comput..

Transactions on Mathematical Programming and Applications

Ioannis K. Argyros, Santhosh George, Shobha M Erappa, 2017 .

An improved convergence analysis for the Newton–Kantorovich method using recurrence relations

Ioannis K. Argyros, 2010, Int. J. Comput. Math..

Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems

Ioannis K. Argyros, Santhosh George, I. Argyros, 2013, Appl. Math. Comput..

On the convergence of King-Werner-type methods of order 1 + √2 free of derivatives

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2015, Appl. Math. Comput..

Convergence planes of iterative methods

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2019 .

Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals

Ioannis K. Argyros, Hongmin Ren, Long Wu, 2013, Appl. Math. Comput..

On The Convergence And Application Of Newton's Method Under Weak HÖlder Continuity Assumptions

Ioannis K. Argyros, I. Argyros, 2003, Int. J. Comput. Math..

Two-Step Solver for Nonlinear Equations

Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola, 2019, Symmetry.

The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2016, J. Comput. Appl. Math..

Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications

Ioannis K. Argyros, Sunil Kumar, George A. Anastassiou, 2017, Fundam. Informaticae.

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order

Ioannis K. Argyros, Ángel Alberto Magreñán, Santhosh George, 2015, J. Comput. Appl. Math..

Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

Ioannis K. Argyros, George A. Anastassiou, 2016, Studies in Computational Intelligence.

Intelligent Numerical Methods: Applications to Fractional Calculus

Ioannis K. Argyros, George A. Anastassiou, G. Anastassiou, 2015, Studies in Computational Intelligence.

Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations

Ioannis K. Argyros, Vinay Kanwar, Munish Kansal, 2017, Appl. Math. Comput..

Improved generalized differentiability conditions for Newton-like methods

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010, J. Complex..

Weaker conditions for the convergence of Newton's method

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2012, J. Complex..

Iterative Methods for Nonlinear Equations or Systems and Their Applications

Alicia Cordero, Juan R. Torregrosa, Ioannis K. Argyros, 2013, J. Appl. Math..

Unified majorizing sequences for Traub-type multipoint iterative procedures

Ioannis K. Argyros, Daniel González, 2012, Numerical Algorithms.

Inexact Newton-type methods

Ioannis K. Argyros, Saïd Hilout, 2010, J. Complex..

Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications

Ioannis K. Argyros, 1999, Appl. Math. Comput..

On the convergence region of Newton's method under Hölder continuity conditions

Ioannis K. Argyros, 2010, Int. J. Comput. Math..

Secant-type methods and nondiscrete induction

Ioannis K. Argyros, Saïd Hilout, 2012, Numerical Algorithms.

Acknowledgement

Tofigh Allahviranloo, Ioannis K. Argyros, Choon Ki Ahn, 2016, Int. J. Comput. Math..

Expanding the applicability of Newton's method using Smale's α-theory

Ioannis K. Argyros, Saïd Hilout, Sanjay Kumar Khattri, 2014, J. Comput. Appl. Math..

On the convergence of Newton-type methods under mild differentiability conditions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2009, Numerical Algorithms.

Expanding the Applicability of High-Order Traub-Type Iterative Procedures

Ioannis K. Argyros, Sergio Amat, Sonia Busquier, 2014, J. Optim. Theory Appl..

Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations

Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola, 2020, Symmetry.

Extending the applicability of Newton's method for a class of boundary value problems using the shooting method

Ioannis K. Argyros, Daniel González, José Manuel Gutiérrez Jiménez, 2020, Appl. Math. Comput..

On the convergence of Newton-type methods using recurrent functions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010, Int. J. Comput. Math..

On an improved local convergence analysis for the Secant method

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2009, Numerical Algorithms.

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

Alicia Cordero, Juan R. Torregrosa, Ioannis K. Argyros, 2017, J. Comput. Appl. Math..

Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa, 2016, Algorithms.

Improved convergence analysis for Newton-like methods

Ioannis K. Argyros, Ángel Alberto Magreñán, 2015, Numerical Algorithms.

Local Convergence of an Optimal Eighth Order Method under Weak Conditions

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa, 2015, Algorithms.

Local Convergence of a Family of Weighted-Newton Methods

José António Tenreiro Machado, Ioannis K. Argyros, Ramandeep Behl, 2019, Symmetry.

Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces

Ioannis K. Argyros, Daniel González, 2014, Appl. Math. Comput..

Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems

Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola, 2020, Symmetry.

Local Comparison between Two Ninth Convergence Order Algorithms for Equations

Ioannis K. Argyros, Samundra Regmi, Santhosh George, 2020, Algorithms.

On the weakening of the convergence of Newton's method using recurrent functions

Ioannis K. Argyros, Saïd Hilout, 2009, J. Complex..

Extending the convergence domain of the Secant and Moser method in Banach Space

Ioannis K. Argyros, Ángel Alberto Magreñán, 2015, J. Comput. Appl. Math..

On the convergence of the midpoint method

Ioannis K. Argyros, Livinus Ugochukwu Uko, 2007, Numerical Algorithms.

Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions

Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar, 2017, Algorithms.

On the convergence of optimization algorithms modeled by point-to-set mappings

Ioannis K. Argyros, Ferenc Szidarovszky, 1992 .

Convergence rates for inexact Newton-like methods at singular points and applications

Ioannis K. Argyros, 1999, Appl. Math. Comput..

New improved convergence analysis for the secant method

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2016, Math. Comput. Simul..

On convergence of the modified Newton's method under Hölder continuous Fréchet derivative

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2009, Appl. Math. Comput..

Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces

Ioannis K. Argyros, 1999, Appl. Math. Comput..

Directional Newton methods

Á. Alberto Magreñán, Ioannis K. Argyros, 2018 .

Convergence and dynamics of a higher order family of iterative methods

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2019 .

Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations

Ioannis K. Argyros, Jidesh Pacheeripadikkal, Santhosh George, 2014, Int. J. Math. Math. Sci..

A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa, 2016, Appl. Math. Comput..

On a result by Dennis and Schnabel for Newton's method: Further improvements

Ioannis K. Argyros, Santhosh George, 2016, Appl. Math. Lett..

Generalized Kung-Traub method and its multi-step iteration in Banach spaces

Ioannis K. Argyros, Janak Raj Sharma, Sunil Kumar, 2019, J. Complex..

HOW TO DEVELOP FOURTH AND SEVENTH ORDER ITERATIVE METHODS

Ioannis K. Argyros, Sanjay Khattri, I. Argyros, 2010 .

Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2010, Appl. Math. Comput..

Local convergence of Newton-like methods for generalized equations

Ioannis K. Argyros, Saïd Hilout, 2008, Appl. Math. Comput..

Development of Optimal Eighth Order Derivative-Free Methods for Multiple Roots of Nonlinear Equations

Ioannis K. Argyros, Janak Raj Sharma, Sunil Kumar, 2019, Symmetry.

On the semilocal convergence of damped Newton's method

Ioannis K. Argyros, Saïd Hilout, 2012, Appl. Math. Comput..

Local convergence of a secant type method for solving least squares problems

Ioannis K. Argyros, Hongmin Ren, 2010, Appl. Math. Comput..

A semilocal convergence analysis for directional Newton methods

Ioannis K. Argyros, I. Argyros, 2010, Math. Comput..

Improved local analysis for a certain class of iterative methods with cubic convergence

Ioannis K. Argyros, Hongmin Ren, 2011, Numerical Algorithms.

Improved local convergence analysis of the Gauss–Newton method under a majorant condition

Ioannis K. Argyros, Ángel Alberto Magreñán, 2015, Comput. Optim. Appl..

Extending the applicability of Newton's method on Lie groups

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2013, Appl. Math. Comput..

Müller’s Method

Á. Alberto Magreñán, Ioannis K. Argyros, K. Fink, 2021, Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century.

Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative

Ioannis K. Argyros, Ramandeep Behl, Ali Saleh Alshomrani, 2020, Int. J. Comput. Math..

Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces

Ioannis K. Argyros, Saïd Hilout, 2013, J. Frankl. Inst..

Generalized equations, variational inequalities and a weak Kantorovich theorem

Ioannis K. Argyros, Livinus Ugochukwu Uko, 2009, Numerical Algorithms.

Convergence of Directional Methods under mild differentiability and applications

Ioannis K. Argyros, Saïd Hilout, 2011, Appl. Math. Comput..

On the convergence of Newton-like methods using restricted domains

Ioannis K. Argyros, Santhosh George, I. Argyros, 2017, Numerical Algorithms.

Local convergence of a fast Steffensen-type method on Banach space under weak conditions

Ioannis K. Argyros, Santhosh George, 2017, Int. J. Comput. Sci. Math..

On Newton's method under mild differentiability conditions and applications

Ioannis K. Argyros, 1999, Appl. Math. Comput..

A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities

Ioannis K. Argyros, Saïd Hilout, 2010, Numerical Algorithms.

Improved error bounds for the modified secant method

Ioannis K. Argyros, I. Argyros, 1992, Int. J. Comput. Math..

Majorizing sequences for iterative methods

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2012, J. Comput. Appl. Math..

Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem

Ioannis K. Argyros, Poom Kumam, Wiyada Kumam, 2020, Symmetry.

On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces

Ioannis K. Argyros, Yeol Je Cho, Xiaolong Qin, 2009, J. Comput. Appl. Math..

Enlarging the convergence ball of the method of parabola for finding zero of derivatives

Ioannis K. Argyros, Santhosh George, 2015, Appl. Math. Comput..

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus

Ioannis K. Argyros, George A. Anastassiou, 2015, Algorithms.

On two high‐order families of frozen Newton‐type methods

Ioannis K. Argyros, Sergio Amat, Sonia Busquier, 2018, Numer. Linear Algebra Appl..

A unified approach for the convergence of certain numerical algorithms, using recurrent functions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010, Computing.

On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2012, Appl. Math. Comput..

Weaker convergence for Newton's method under Hölder differentiability

Ioannis K. Argyros, Saïd Hilout, 2014, Int. J. Comput. Math..

Unified convergence analysis of frozen Newton-like methods under generalized conditions

Ioannis K. Argyros, Santhosh George, 2019, J. Comput. Appl. Math..

Local Convergence of an Efficient Multipoint Iterative Method in Banach Space

Ioannis K. Argyros, Sunil Kumar, Janak Raj Sharma, 2020, Algorithms.

Ball Convergence for Combined Three-Step Methods Under Generalized Conditions in Banach Space

Ioannis K. Argyros, Ramandeep Behl, R. A. Alharbey, 2019, Symmetry.

Convergence of Steffensen’s method for non-differentiable operators

Ioannis K. Argyros, Miguel Ángel Hernández, M. J. Rubio, 2016, Numerical Algorithms.

Iterative Methods and Their Dynamics with Applications: A Contemporary Study

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2017 .

An Efficient Class of Traub-Steffensen-Like Seventh Order Multiple-Root Solvers with Applications

Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar, 2019, Symmetry.

Ball Convergence for Steffensen-type Fourth-order Methods

Ioannis K. Argyros, Santhosh George, I. Argyros, 2015, Int. J. Interact. Multim. Artif. Intell..

On the convergence of Broyden's method in Hilbert spaces

Ioannis K. Argyros, Y. J. Cho, Sanjay Kumar Khattri, 2014, Appl. Math. Comput..

Newton's method on generalized Banach spaces

Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa, 2016, J. Complex..

Improved local convergence of Newton's method under weak majorant condition

Ioannis K. Argyros, Saïd Hilout, 2012, J. Comput. Appl. Math..

Directional Secant-Type Methods for Solving Equations

Ioannis K. Argyros, Saïd Hilout, 2013, J. Optim. Theory Appl..

The convergence of algorithmic models

Ioannis K. Argyros, Ferenc Szidarovszky, 2018 .

Extending the applicability of the local and semilocal convergence of Newton's method

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2017, Appl. Math. Comput..

Directional Chebyshev-type methods for solving equations

Ioannis K. Argyros, Miguel Ángel Hernández, Saïd Hilout, 2014, Math. Comput..

Efficient Steffensen-type algorithms for solving nonlinear equations

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2013, Int. J. Comput. Math..

On the solution of systems of equations with constant rank derivatives

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011, Numerical Algorithms.

Local convergence of Cauchy-type methods under hypotheses on the first derivative

Ioannis K. Argyros, Daniel González, 2017, Int. J. Comput. Vis. Robotics.

Extending the applicability of Secant methods and nondiscrete induction

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011, Appl. Math. Comput..

Third-degree anomalies of Traub's method

Alicia Cordero, Juan R. Torregrosa, Ioannis K. Argyros, 2017, J. Comput. Appl. Math..

Weaker Kantorovich type criteria for inexact Newton methods

Ioannis K. Argyros, Sanjay Kumar Khattri, 2014, J. Comput. Appl. Math..

A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative

Ioannis K. Argyros, Ángel Alberto Magreñán, 2015, Numerical Algorithms.

Local Convergence and the Dynamics of a Two-Step Newton-Like Method

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2016, Int. J. Bifurc. Chaos.

Directional Newton methods and restricted domains

Á. Alberto Magreñán, Ioannis K. Argyros, 2017 .

Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations

Ioannis K. Argyros, Santhosh George, Kedarnath Senapati, 2019, Numerical Algorithms.

Journal of Computational and Applied Mathematics on the Semilocal Convergence of Efficient Chebyshev–secant-type Methods

Ioannis K. Argyros, Miguel Ángel Hernández, José Antonio Ezquerro, 2022 .

Two-step Newton methods

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2014, J. Complex..

Expanding the Applicability of Some High Order Househölder-Like Methods

Ioannis K. Argyros, Sergio Amat, Miguel Ángel Hernández, 2017, Algorithms.

Kantorovich-type semilocal convergence analysis for inexact Newton methods

Ioannis K. Argyros, Hongmin Ren, 2011, J. Comput. Appl. Math..

Forcing sequences and inexact Newton iterates in Banach space

Ioannis K. Argyros, 2000, Appl. Math. Lett..

On the convergence of efficient King-Werner-type methods of order 1+√2

Ioannis K. Argyros, Hongmin Ren, 2015, J. Comput. Appl. Math..

Convergence of iterative methods for multiple zeros

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2019 .

Local convergence of efficient Secant-type methods for solving nonlinear equations

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2012, Appl. Math. Comput..

Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2014, Appl. Math. Comput..

A derivative free iterative method for solving least squares problems

Ioannis K. Argyros, Hongmin Ren, Saïd Hilout, 2011, Numerical Algorithms.

On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two

Ioannis K. Argyros, 2009, Appl. Math. Comput..

Newton–Tikhonov Method for Ill-posed Problems

Ioannis K. Argyros, Saïd Hilout, 2013 .

Shadowing lemma for operators with chaotic behavior

Á. Alberto Magreñán, Ioannis K. Argyros, 2019 .

Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines

J. A. Tenreiro Machado, Ioannis K. Argyros, Ramandeep Behl, 2019, Symmetry.

Local Convergence for an Improved Jarratt-type Method in Banach Space

Ioannis K. Argyros, Daniel González, I. Argyros, 2015, Int. J. Interact. Multim. Artif. Intell..

On a two-point Newton-like method of convergent order two

Ioannis K. Argyros, I. Argyros, 2005, Int. J. Comput. Math..

Extending the applicability of the Gauss–Newton method under average Lipschitz–type conditions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011, Numerical Algorithms.

Improved results on estimating and extending the radius of an attraction ball

Ioannis K. Argyros, Jinhai Chen, 2010, Appl. Math. Lett..

Improved convergence and complexity analysis of Newton's method for solving equations

Ioannis K. Argyros, 2007, Int. J. Comput. Math..

Optimizing the applicability of a theorem by F. Potra for Newton-like methods

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2014, Appl. Math. Comput..

Majorizing sequences for Newton's method under centred conditions for the derivative

Á. Alberto Magreñán, Ioannis K. Argyros, D. González, 2014, Int. J. Comput. Math..

A new analysis for the Keller-Segel model of fractional order

Sunil Kumar, Ioannis K. Argyros, Amit Kumar, 2017, Numerical Algorithms.

Extended convergence results for the Newton-Kantorovich iteration

Ioannis K. Argyros, Ángel Alberto Magreñán, 2015, J. Comput. Appl. Math..

Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space

Ioannis K. Argyros, Gilson N. Silva, 2017, J. Complex..

Improved convergence analysis for the Secant method based on a certain type of recurrence relations

Ioannis K. Argyros, 2004, Int. J. Comput. Math..

Robust semi-local convergence analysis for inexact Newton method

Ioannis K. Argyros, Ángel Alberto Magreñán, Saïd Hilout, 2014, Appl. Math. Comput..

Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations

Ioannis K. Argyros, Stefan Maruster, I. Argyros, 2018, Appl. Math. Comput..

Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions

Ioannis K. Argyros, Ángel Alberto Magreñán, Sergio Amat, 2017, Numerical Algorithms.

Newton's method for solving optimal shape design problems

Á. Alberto Magreñán, Ioannis K. Argyros, 2019 .

An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications

Ioannis K. Argyros, Nuttapol Pakkaranang, Habib Ur Rehman, 2020, Axioms.

A convergence analysis for directional two-step Newton methods

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010, Numerical Algorithms.

Estimating upper bounds on the limit points of majorizing sequences for Newton’s method

Ioannis K. Argyros, Saïd Hilout, 2012, Numerical Algorithms.

Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method

Ioannis K. Argyros, Á. Alberto Magreñán, Santhosh George, 2019, Symmetry.

On local convergence of a Newton-type method in Banach space

Ioannis K. Argyros, Jinhai Chen, I. Argyros, 2009, Int. J. Comput. Math..

Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space

Ioannis K. Argyros, 1999, Int. J. Comput. Math..

On the midpoint method for solving equations

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout, 2010, Appl. Math. Comput..

Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory

Ioannis K. Argyros, Saïd Hilout, Sanjay Kumar Khattri, 2013, Appl. Math. Comput..

On the radius of convergence of newton's method

Ioannis K. Argyros, 2001, Int. J. Comput. Math..

On the convergence of inexact two-point Newton-like methods on Banach spaces

Á. Alberto Magreñán, Ioannis K. Argyros, I. Argyros, 2015, Appl. Math. Comput..

Improving the domain of parameters for Newton's method with applications

Ioannis K. Argyros, Ángel Alberto Magreñán, Juan Antonio Sicilia, 2017, J. Comput. Appl. Math..

Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space

Ioannis K. Argyros, 1999, Computing.

Extending the Kantorovich’s theorem on Newton’s method for solving strongly regular generalized equation

Ioannis K. Argyros, Gilson N. Silva, 2019, Optim. Lett..

On the convergence of an optimal fourth-order family of methods and its dynamics

Ioannis K. Argyros, Ángel Alberto Magreñán, I. Argyros, 2015, Appl. Math. Comput..

On the local convergence of inexact Newton-type methods under residual control-type conditions

Ioannis K. Argyros, Hongmin Ren, 2010, J. Comput. Appl. Math..

On a non-smooth version of Newton's method based on Hölderian assumptions

Ioannis K. Argyros, 2007, Int. J. Comput. Math..

Sufficient conditions for constructing methods faster than Newton's

Ioannis K. Argyros, 1998, Appl. Math. Comput..

Weak convergence conditions for Inexact Newton-type methods

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011, Appl. Math. Comput..

Extended sufficient semilocal convergence for the Secant method

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout, 2011, Comput. Math. Appl..

Accessibility of solutions of operator equations by Newton-like methods

Ravi P. Agarwal, Ioannis K. Argyros, Y. J. Cho, 2015, J. Complex..

On the convergence of modified Newton methods for solving equations containing a non-differentiable term

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2009, J. Comput. Appl. Math..

Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences

Ioannis K. Argyros, Ramandeep Behl, Fouad Othman Mallawi, 2021, Symmetry.

A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models

Ioannis K. Argyros, Shanta Kumari Sunanda, Christopher I. Argyros, 2021, Symmetry.

Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications

Ioannis K. Argyros, I. Argyros, 2021, Mathematics.

Extended High Order Algorithms for Equations under the Same Set of Conditions

Ioannis K. Argyros, Michael I. Argyros, Shanta Kumari Sunanda, 2021, Algorithms.

Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of Equation Solvers

Ioannis K. Argyros, Shanta Kumari Sunanda, Debasis Sharma, 2021, Fractal and Fractional.

Extended iterative schemes based on decomposition for nonlinear models

Ioannis K. Argyros, Shanta Kumari Sunanda, Christopher I. Argyros, 2021, Journal of Applied Mathematics and Computing.

Local comparison between two-step methods under the same conditions

Ioannis K. Argyros, Santhosh George, I. Argyros, 2021, Afrika Matematika.

Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations

Ioannis K. Argyros, I. Argyros, 2021, European Journal of Mathematical Analysis.

Ball analysis for an efficient sixth convergence order scheme under weaker conditions

Ioannis K. Argyros, Santhosh George, I. Argyros, 2021 .

Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications

Ioannis K. Argyros, Michael I. Argyros, Johan Ceballos, 2021, Comput. Math. Methods.

Extended domain for fifth convergence order schemes

Ioannis K. Argyros, Santhosh George, 2021 .

Ball Convergence of Multipoint Methods for Non-linear Systems

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa, 2020, Communications in Computer and Information Science.

Ball convergence of an efficient multi-step scheme for solving equationsand systems of equations

Ioannis K. Argyros, Santhosh George, I. Argyros, 2021, Applicationes Mathematicae.

On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative

Ioannis K. Argyros, Hongmin Ren, I. Argyros, 2020, J. Complex..

Some High-Order Convergent Iterative Procedures for Nonlinear Systems with Local Convergence

Ioannis K. Argyros, Ramandeep Behl, Fouad Mallawi, 2021, Mathematics.

A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities

Ioannis K. Argyros, Meshal Shutaywi, Wejdan Deebani, 2021, Symmetry.

Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications

Ioannis K. Argyros, Poom Kumam, Nasser Aedh Alreshidi, 2021 .

On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations

Ioannis K. Argyros, Samundra Regmi, Santhosh George, 2021, Symmetry.

Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities

Ioannis K. Argyros, Poom Kumam, Wiyada Kumam, 2021, Optimization.

Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen-Cahn Equations

Ioannis K. Argyros, Janak Joshi, Harish Bhatt, 2021, Symmetry.

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

Ioannis K. Argyros, Ramandeep Behl, Ali Ahmadian, 2021 .

Extending the applicability of Newton's and Secant methods under regular smoothness

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa, 2021 .

An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method

Ioannis K. Argyros, Mahmoud S. Alrawashdeh, Seba A. Migdady, 2021, Symmetry.

Extending the applicability and convergence domain of a higher-order iterative algorithm under $$\omega $$ ω condition

Ioannis K. Argyros, Shanta Kumari Sunanda, Christopher I. Argyros, 2021, Rendiconti del Circolo Matematico di Palermo Series 2.

Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces

Ioannis K. Argyros, Nasser Aedh Alreshidi, Kanikar Muangchoo, 2021, Symmetry.

Extended local and semilocal convergence for interpolatory iterative methods for nonlinear equations

Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola, 2021, SeMA Journal.

Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions

Ioannis K. Argyros, Roman Iakymchuk, Stepan Shakhno, 2021, Axioms.

Solving unconstrained optimization problems via hybrid CD-DY conjugate gradient methods with applications

Ioannis K. Argyros, Auwal Bala Abubakar, Jitsupa Deepho, 2021, J. Comput. Appl. Math..

On the approximation of mth power divided differences preserving the local order of convergence

Ioannis K. Argyros, Abdolreza Amiri, 2021, Appl. Math. Comput..

Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa, 2021 .

Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation

Á. Alberto Magreñán, Ioannis K. Argyros, Lara Orcos, 2016, Journal of Mathematical Chemistry.

On the comparison of a weak variant of the Newton-Kantorovich and Miranda theorems

Ioannis K. Argyros, 2004 .

The midpoint method for solving nonlinear operator equations in Banach space

Ioannis K. Argyros, Dong Chen, I. Argyros, 1992 .

Concerning the convergence of Newton’s method and quadratic majorants

Ioannis K. Argyros, 2009 .

On a class of nonlinear integral equations arising in neutron transport

Ioannis K. Argyros, I. Argyros, 1988 .

The Theory and Applications of Iteration Methods

Ioannis K. Argyros, Ferenc Szidarovszky, F. Szidarovszky, 1993 .

Optimization Based Methods for Solving the Equilibrium Problems with Applications in Variational Inequality Problems and Solution of Nash Equilibrium Models

Ioannis K. Argyros, Poom Kumam, Zahir Shah, 2020 .

A fixed point technique for some iterative algorithm with applications to generalized right fractional calculus

Ioannis K. Argyros, George A. Anastassiou, 2016 .

On the semilocal convergence of the Halley method using recurrent functions

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout, 2011 .

CONVERGENCE OF THE RELAXED NEWTON'S METHOD

Á. Alberto Magreñán, Ioannis K. Argyros, José M. Gutiérrez, 2014 .

On the method of tangent hyperbolas

Ioannis K. Argyros, I. Argyros, 1996, Approximation Theory and its Applications.

Advances in the Efficiency of Computational Methods and Applications

Ioannis K. Argyros, I. Argyros, 2000 .

Concerning the “terra incognita” between convergence regions of two Newton methods

Ioannis K. Argyros, I. Argyros, 2005 .

Polynomial Operator Equations in Abstract Spaces and Applications

Ioannis K. Argyros, I. Argyros, 1998 .

On the Gauss–Newton method

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011 .

Approximating Newton-like procedures

Ioannis K. Argyros, I. Argyros, 1992 .

Newton’s method on Lie groups

Ioannis K. Argyros, I. Argyros, 2009 .

Advanced Fractional Taylor’s Formulae

Ioannis K. Argyros, George A. Anastassiou, 2016 .

Convergence domains under Zabrejko–Zinčenko conditions using recurrent functions

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2011 .

On the convergence and application of Newton-like methods for analytic operators

Ioannis K. Argyros, 2002 .

Quadratic equations and applications to Chandrasekhar's and related equations

Ioannis K. Argyros, I. Argyros, 1985, Bulletin of the Australian Mathematical Society.

ENCLOSING ROOTS OF POLYNOMIAL EQUATIONS AND THEIR APPLICATIONS TO ITERATIVE PROCESSES

Ioannis K. Argyros, I. Argyros, 2009 .

On the convergence of Newton's method for a class of nonsmooth operators

Ioannis K. Argyros, 2007 .

A note on the Halley method in Banach spaces

Ioannis K. Argyros, Dong Chen, I. Argyros, 1993 .

Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions

Ioannis K. Argyros, Janak Raj Sharma, Sunil Kumar, 2018, Mathematics.

ON THE CONVERGENCE OF INEXACT TWO-STEP NEWTON-TYPE METHODS USING RECURRENT FUNCTIONS

Ioannis K. Argyros, I. Argyros, Sad Hilout, 2011 .

New sufficient convergence conditions for the secant method

Ioannis K. Argyros, 2005 .

A local convergence theorem for the super-halley method in a Banach space

Ioannis K. Argyros, Dong Chen, I. Argyros, 1994 .

Results on the Chebyshev method in banach spaces

Ioannis K. Argyros, Dong Chen, I. Argyros, 1993 .

Local convergence of Newton's method using Kantorovich convex majorants

Ioannis K. Argyros, 2010 .

The super-Halley method using divided differences

Ioannis K. Argyros, 1997 .

A Newton-Kantorvich theorem for equations involving m Fréchet differentiable operators and applications in radiative transfer

Ioannis K. Argyros, 2001 .

Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure

Ioannis K. Argyros, Ramandeep Behl, Sandile S. Motsa, 2017 .

On a general class of optimal order multipoint methods for solving nonlinear equations

Ioannis K. Argyros, Janak Raj Sharma, I. Argyros, 2017 .

On the solution of equations with nondifferentiable and ptak error estimates

Ioannis K. Argyros, 1990 .

The secant method and fixed points of nonlinear operators

Ioannis K. Argyros, I. Argyros, 1988 .

A mesh-independence principle for operators equations and the Steffensen method

Ioannis K. Argyros, 1997 .

The Jarratt method in Banach space setting

Ioannis K. Argyros, Dong Chen, I. Argyros, 1994 .

Local convergence of a relaxed two-step Newton like method with applications

Á. Alberto Magreñán, Ioannis K. Argyros, Juan Antonio Sicilia, 2017, Journal of Mathematical Chemistry.

Extending the applicability of modified Newton-HSS method for solving systems of nonlinear equations

Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar, 2018, Studia Universitatis Babes-Bolyai Matematica.

On a two-point Newton method in Banach spaces and the Pták error estimates

Ioannis K. Argyros, 1999 .

Regularization Methods for Ill-Posed Problems with Monotone Nonlinear Part

Ioannis K. Argyros, I. Argyros, 2014 .

Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations

Ioannis K. Argyros, 2008 .

A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative

Ioannis K. Argyros, 1999 .

Inexact Newton methods and recurrent functions

Ioannis K. Argyros, Saïd Hilout, 2010 .

Computational Theory of Iterative Methods, Volume 15

Ioannis K. Argyros, I. Argyros, 2007 .

A new convergence theorem for the Jarratt method in Banach space

Ioannis K. Argyros, 1998 .

On the Newton-Kantorovich hypothesis for solving equations

Ioannis K. Argyros, I. Argyros, 2004 .

Weak sufficient convergence conditions and applications for newton methods

Ioannis K. Argyros, I. Argyros, 2004 .

On the semilocal convergence of inexact Newton methods in Banach spaces

Ioannis K. Argyros, 2009 .

The asymptotic mesh independence principle for inexact Newton-Galerkin-like methods

Ioannis K. Argyros, I. Argyros, 1997 .

On a class of Newton-like methods for solving nonlinear equations

Ioannis K. Argyros, I. Argyros, 2009 .

Robust estimation and testing for general nonlinear regression models

Ioannis K. Argyros, M. A. Tabatabai, 1993 .

A unified approach for constructing fast two-step Newton-like methods

Ioannis K. Argyros, I. Argyros, 1995 .

Convergence conditions for secant-type methods

Ioannis K. Argyros, Saïd Hilout, I. Argyros, 2010 .

Local convergence of inexact Newton-like-iterative methods and applications

Ioannis K. Argyros, 2000 .

An improved error analysis for Newton-like methods under generalized conditions

Ioannis K. Argyros, I. Argyros, 2003 .

Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

Ioannis K. Argyros, I. Argyros, Á. Alberto Magreñán, 2015 .

An inverse-free Jarratt type approximation in a Banach space

Ioannis K. Argyros, Dong Chen, Q. Qian, 1996 .

Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots

Ioannis K. Argyros, Janak Raj Sharma, I. Argyros, 2020 .

The midpoint method in Banach spaces and the Ptaˆk error estimates

Ioannis K. Argyros, Dong Chen, 1994 .

A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions

Ioannis K. Argyros, I. Argyros, 1994 .

ON THE SEMILOCAL CONVERGENCE OF THE GAUSS-NEWTON METHOD USING RECURRENT FUNCTIONS

Ioannis K. Argyros, Saïd Hilout, 2010 .

On Ulm’s method for Fréchet differentiable operators

Ioannis K. Argyros, I. Argyros, 2009 .

Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions

Ioannis K. Argyros, Janak Raj Sharma, I. Argyros, 2018 .

An improved unifying convergence analysis of Newton’s method in Riemannian manifolds

Ioannis K. Argyros, 2007 .

A New Convergence Theorem for Steffensen's Method on Banach Spaces and Applications

Ioannis K. Argyros, 1997 .

On the Local Convergence of the Gauss–Newton Method

Ioannis K. Argyros, Cameron, 2009 .

On the monotone convergence of general Newton-like methods

Ioannis K. Argyros, Ferenc Szidarovszky, 1992, Bulletin of the Australian Mathematical Society.

On the midpoint iterative method for solving nonlinear operator equations in Banach space and its applications in integral equations

Ioannis K. Argyros, Dong Chen, 1994 .

A unifying local–semilocal convergence analysis and applications for two-point Newton-like methods in Banach space

Ioannis K. Argyros, I. Argyros, 2004 .

OF PURE AND APPLIED MATHEMATICS

Ioannis K. Argyros, Mohammad A. Tabatabai, I. Argyros, 2003 .

On the Local Convergence of an Eighth-order Method for Solving Nonlinear Equations

Ioannis K. Argyros, Vinay Kanwar, Munish Kansal, 2016 .

On the Convergence of Newton’s Method for Polynomial Equations and Applications in Radiative Transfer

Ioannis K. Argyros, 1999 .

Concerning the semilocal convergence of Newton’s method and convex majorants

Ioannis K. Argyros, 2008 .