Ioannis K. Argyros

252 papers Journal 250
YearRankTypeTitle / Venue / Authors
2026 J jnl
A high-efficiency fourth-order iterative method for nonlinear equations: Convergence and computational gains.
J. Complex.
Amir Naseem, Krzysztof Gdawiec, Sania Qureshi, Ioannis K. Argyros, Muhammad Aziz ur Rehman, Amanullah Soomro, Evren Hincal, Kamyar Hosseini, Ausif Padder
2026 J jnl
Extended convergence analysis of a generalized Newton-type iterative method: a unified local-semilocal approach.
Comput. Appl. Math.
Ioannis K. Argyros, Harmandeep Singh, Sunil Kumar, Janak Raj Sharma, Samundra Regmi, Michael I. Argyros
2025 J jnl
A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions.
Math. Comput. Simul.
Chih-Wen Chang, Sania Qureshi, Ioannis K. Argyros, Francisco I. Chicharro, Amanullah Soomro
2025 J jnl
A procedure for increasing the convergence order of iterative methods from p to 5p for solving nonlinear system.
J. Complex.
Santhosh George, Muniyasamy M, Manjusree Gopal, Chandhini Godavarma, Ioannis K. Argyros
2025 J jnl
An Improved Convergence Analysis of a Multi-Step Method with High-Efficiency Indices.
Algorithms
Santhosh George, Manjusree Gopal, Samhitha Bhide, Ioannis K. Argyros
2025 J jnl
Extended Parametric Family of Two-Step Methods with Applications for Solving Nonlinear Equations or Systems.
Axioms
Ioannis K. Argyros, Stepan Shakhno, Mykhailo Shakhov
2025 J jnl
Extending the Applicability of Newton-Jarratt-like Methods with Accelerators of Order 2m + 1 for Solving Nonlinear Systems.
Axioms
Ioannis K. Argyros, Stepan Shakhno, Mykhailo Shakhov
2025 J jnl
Improving Vertebral Fracture Detection in C-Spine CT Images Using Bayesian Probability-Based Ensemble Learning.
Algorithms
Abhishek Kumar Pandey, Kedarnath Senapati, Ioannis K. Argyros, Pateel G. P.
2025 J jnl
Novel Techniques with Memory Extension of Three-Step Derivative-Free Iterative Scheme for Nonlinear Systems.
Comput.
Nishant Kumar, Jai P. Jaiswal, Ioannis K. Argyros
2025 J jnl
On the Convergence Order of Jarratt-Type Methods for Nonlinear Equations.
Axioms
Shobha M. Erappa, Suma P. Bheemaiah, Santhosh George, Kanagaraj Karuppaiah, Ioannis K. Argyros
2025 J jnl
Solution of an integral equation in controlled rectangular metric spaces via weakly contractive mappings.
J. Comput. Appl. Math.
Doha A. Kattan, Umar Ishtiaq, Muhammad Farhan, Ioannis K. Argyros, Mohammad Akram, Samundra Regmi
2025 J jnl
Use of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models.
Commun. Nonlinear Sci. Numer. Simul.
Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, Krzysztof Gdawiec, Ali Akgül, Marwan Alquran
2024 J jnl
A Modified Fractional Newton's Solver.
Axioms
Chih-Wen Chang, Sania Qureshi, Ioannis K. Argyros, Khair Muhammad Saraz, Evren Hincal
2024 J jnl
A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis.
Axioms
Sania Qureshi, Francisco I. Chicharro, Ioannis K. Argyros, Amanullah Soomro, Jihan Alahmadi, Evren Hincal
2024 J jnl
A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography.
Numer. Algorithms
Sania Qureshi, Ioannis K. Argyros, Amanullah Soomro, Krzysztof Gdawiec, Asif Ali Shaikh, Evren Hincal
2024 J jnl
Convergence Order of a Class of Jarratt-like Methods: A New Approach.
Symmetry
Ajil Kunnarath, Santhosh George, Jidesh Padikkal, Ioannis K. Argyros
2024 J jnl
Convergence of a Family of Methods with Symmetric, Antisymmetric Parameters and Weight Functions.
Symmetry
Ramandeep Behl, Ioannis K. Argyros
2024 J jnl
Enriched Z-Contractions and Fixed-Point Results with Applications to IFS.
Axioms
Ibrahim Alraddadi, Muhammad Din, Umar Ishtiaq, Mohammad Akram, Ioannis K. Argyros
2024 J jnl
Extension of an Eighth-Order Iterative Technique to Address Non-Linear Problems.
Axioms
Higinio Ramos, Ioannis K. Argyros, Ramandeep Behl, Hashim Alshehri
2024 J jnl
Fixed-Point Results of Generalized (ϕ,Ψ)-Contractive Mappings in Partially Ordered Controlled Metric Spaces with an Application to a System of Integral Equations.
Axioms
Mohammad Akram, Salha Alshaikey, Umar Ishtiaq, Muhammad Farhan, Ioannis K. Argyros, Samundra Regmi
2024 J jnl
Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations.
Algorithms
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Christopher I. Argyros
2024 J jnl
Larger convergence regions for an efficient two-step iterative method.
Comput. Appl. Math.
Ramandeep Behl, Ioannis K. Argyros
2024 J jnl
On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations.
Axioms
Indra Bate, Muniyasamy Murugan, Santhosh George, Kedarnath Senapati, Ioannis K. Argyros, Samundra Regmi
2024 J jnl
On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property.
J. Complex.
Ioannis K. Argyros, Santhosh George
2024 J jnl
On obtaining order of convergence of Jarratt-like method without using Taylor series expansion.
Comput. Appl. Math.
Santhosh George, Ajil Kunnarath, Ramya Sadananda, P. Jidesh, Ioannis K. Argyros
2024 J jnl
On the Kantorovich Theory for Nonsingular and Singular Equations.
Axioms
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Michael I. Argyros
2024 J jnl
Symmetric-Type Multi-Step Difference Methods for Solving Nonlinear Equations.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola, Michael I. Argyros
2023 J jnl
An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method.
J. Appl. Math. Comput.
Santhosh George, Muhammed Saeed K, Ioannis K. Argyros, P. Jidesh
2023 J jnl
An optimal homotopy continuation method: Convergence and visual analysis.
J. Comput. Sci.
Krzysztof Gdawiec, Ioannis K. Argyros, Sania Qureshi, Amanullah Soomro
2023 J jnl
Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application.
Axioms
Khaleel Ahmad, Ghulam Murtaza, Salha Alshaikey, Umar Ishtiaq, Ioannis K. Argyros
2023 J jnl
Enhancing the practicality of Newton-Cotes iterative method.
J. Appl. Math. Comput.
Ramya Sadananda, Santhosh George, Ajil Kunnarath, Jidesh Padikkal, Ioannis K. Argyros
2023 J jnl
Extended Kantorovich theory for solving nonlinear equations with applications.
Comput. Appl. Math.
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Michael I. Argyros
2023 J jnl
Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application.
Symmetry
Umar Ishtiaq, Fahad Jahangeer, Doha A. Kattan, Ioannis K. Argyros
2023 J jnl
Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields.
J. Comput. Appl. Math.
Christopher I. Argyros, Michael I. Argyros, Ioannis K. Argyros, Ángel Alberto Magreñán, Íñigo Sarría Martínez de Mendivil
2023 J jnl
Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola
2023 J jnl
Newton-like Normal S-iteration under Weak Conditions.
Axioms
Manoj K. Singh, Ioannis K. Argyros, Arvind K. Singh
2023 J jnl
On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations.
Axioms
Umar Ishtiaq, Fahad Jahangeer, Doha A. Kattan, Ioannis K. Argyros, Samundra Regmi
2023 J jnl
On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space.
Algorithms
Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola
2023 J jnl
On the complexity of a unified convergence analysis for iterative methods.
J. Complex.
Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola
2023 J jnl
Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations.
Comput.
Samundra Regmi, Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
2022 J jnl
Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications.
Symmetry
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
2022 J jnl
Extended iterative schemes based on decomposition for nonlinear models.
J. Appl. Math. Comput.
Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda
2022 J jnl
Extending the Applicability of Cordero Type Iterative Method.
Symmetry
Krishnendu Remesh, Ioannis K. Argyros, Muhammed Saeed K, Santhosh George, Jidesh Padikkal
2022 J jnl
Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications.
J. Comput. Appl. Math.
Alejandro Moysi, Michael I. Argyros, Ioannis K. Argyros, Ángel Alberto Magreñán, Íñigo Sarría, Daniel González
2022 J jnl
Numerical Processes for Approximating Solutions of Nonlinear Equations.
Axioms
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
2022 J jnl
On the Convergence of Two-Step Kurchatov-Type Methods under Generalized Continuity Conditions for Solving Nonlinear Equations.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola
2022 J jnl
On the complexity of convergence for high order iterative methods.
J. Complex.
Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
2022 J jnl
Perturbed Newton Methods for Solving Nonlinear Equations with Applications.
Symmetry
Ioannis K. Argyros, Samundra Regmi, Stepan Shakhno, Halyna Yarmola
2022 J jnl
Solving unconstrained optimization problems via hybrid CD-DY conjugate gradient methods with applications.
J. Comput. Appl. Math.
Jitsupa Deepho, Auwal Bala Abubakar, Maulana Malik, Ioannis K. Argyros
2022 J jnl
Weaker convergence criteria for Traub's method.
J. Complex.
Ioannis K. Argyros
2021 J jnl
A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities.
Symmetry
Nopparat Wairojjana, Ioannis K. Argyros, Meshal Shutaywi, Wejdan Deebani, Christopher I. Argyros
2021 J jnl
A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models.
Symmetry
Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda
2021 J jnl
An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method.
Symmetry
Mahmoud S. Alrawashdeh, Seba A. Migdady, Ioannis K. Argyros
2021 J jnl
Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces.
Symmetry
Kanikar Muangchoo, Nasser Aedh Alreshidi, Ioannis K. Argyros
2021 J jnl
Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis.
Comput. Math. Methods
Michael I. Argyros, Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán, Alejandro Moysi, Íñigo Sarría
2021 J jnl
Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences.
Symmetry
Ramandeep Behl, Ioannis K. Argyros, Fouad Othman Mallawi, Christopher I. Argyros
2021 J jnl
Extended High Order Algorithms for Equations under the Same Set of Conditions.
Algorithms
Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda, Michael I. Argyros
2021 J jnl
Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications.
Comput. Math. Methods
Ioannis K. Argyros, Michael I. Argyros, Johan Ceballos, Mariana Ceballos, Daniel González
2021 J jnl
Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen-Cahn Equations.
Symmetry
Harish Bhatt, Janak Joshi, Ioannis K. Argyros
2021 J jnl
Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions.
Axioms
Ioannis K. Argyros, Stepan Shakhno, Roman Iakymchuk, Halyna Yarmola, Michael I. Argyros
2021 J jnl
Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications.
Comput. Appl. Math.
Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Nasser Aedh Alreshidi
2021 J jnl
On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations.
Symmetry
Christopher I. Argyros, Ioannis K. Argyros, Janak Joshi, Samundra Regmi, Santhosh George
2021 J jnl
On the approximation of
Appl. Math. Comput.
Abdolreza Amiri, Ioannis K. Argyros
2021 J jnl
On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative.
J. Complex.
Hongmin Ren, Ioannis K. Argyros
2021 J jnl
On the local convergence of efficient Newton-type solvers with frozen derivatives for nonlinear equations.
Comput. Math. Methods
Ramandeep Behl, Ioannis K. Argyros, Christopher I. Argyros
2020 J jnl
A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems.
Symmetry
Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Nasser Aedh Alreshidi, Wiyada Kumam, Wachirapong Jirakitpuwapat
2020 J jnl
An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications.
Axioms
Nopparat Wairojjana, Habib Ur Rehman, Ioannis K. Argyros, Nuttapol Pakkaranang
2020 J jnl
Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative.
Int. J. Comput. Math.
Ali Saleh Alshomrani, Ramandeep Behl, Ioannis K. Argyros
2020 J jnl
Convergence analysis for single point Newton-type iterative schemes.
J. Appl. Math. Comput.
Ioannis K. Argyros, Santhosh George
2020 J jnl
Convergence and Dynamics of a Higher-Order Method.
Symmetry
Alejandro Moysi, Ioannis K. Argyros, Samundra Regmi, Daniel González, Ángel Alberto Magreñán, Juan Antonio Sicilia
2020 J jnl
Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
2020 J jnl
Extending the applicability of Newton's method for a class of boundary value problems using the shooting method.
Appl. Math. Comput.
Ioannis K. Argyros, Johan Ceballos, Daniel González, José Manuel Gutiérrez Jiménez
2020 J jnl
Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations.
Numer. Algorithms
Ioannis K. Argyros, Santhosh George, Kedarnath Senapati
2020 J jnl
Improving Convergence Analysis of the Newton-Kurchatov Method under Weak Conditions.
Comput.
Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
2020 J jnl
Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem.
Symmetry
Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Wejdan Deebani, Wiyada Kumam
2020 J jnl
Local Comparison between Two Ninth Convergence Order Algorithms for Equations.
Algorithms
Samundra Regmi, Ioannis K. Argyros, Santhosh George
2020 J jnl
Local Convergence of Solvers with Eighth Order Having Weak Conditions.
Symmetry
Ramandeep Behl, Ioannis K. Argyros
2020 J jnl
Local Convergence of an Efficient Multipoint Iterative Method in Banach Space.
Algorithms
Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros
2020 J jnl
Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
2020 J jnl
On the Solution of Equations by Extended Discretization.
Comput.
Gus I. Argyros, Michael I. Argyros, Samundra Regmi, Ioannis K. Argyros, Santhosh George
2020 J jnl
On the complexity of extending the convergence region for Traub's method.
J. Complex.
Ioannis K. Argyros, Santhosh George
2020 J jnl
On the local and semilocal convergence of a parameterized multi-step Newton method.
J. Comput. Appl. Math.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez
2019 J jnl
An Efficient Class of Traub-Steffensen-Like Seventh Order Multiple-Root Solvers with Applications.
Symmetry
Janak Raj Sharma, Deepak Kumar, Ioannis K. Argyros
2019 J jnl
Ball Convergence for Combined Three-Step Methods Under Generalized Conditions in Banach Space.
Symmetry
Rania A. Alharbey, Ioannis K. Argyros, Ramandeep Behl
2019 J jnl
Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines.
Symmetry
Ramandeep Behl, Ioannis K. Argyros, Fouad Othman Mallawi, J. A. Tenreiro Machado
2019 J jnl
Development of Optimal Eighth Order Derivative-Free Methods for Multiple Roots of Nonlinear Equations.
Symmetry
Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros
2019 J jnl
Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method.
Symmetry
Ioannis K. Argyros, Santhosh George, Chandhini Godavarma, Ángel Alberto Magreñán
2019 J jnl
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space.
J. Appl. Math. Comput.
C. D. Sreedeep, Santhosh George, Ioannis K. Argyros
2019 J jnl
Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation.
Optim. Lett.
Ioannis K. Argyros, Gilson N. Silva
2019 J jnl
Generalized Kung-Traub method and its multi-step iteration in Banach spaces.
J. Complex.
Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros
2019 J jnl
Improved semi-local convergence of the Newton-HSS method for solving large systems of equations.
Appl. Math. Lett.
Ioannis K. Argyros, Santhosh George, Ángel Alberto Magreñán
2019 J jnl
Local Convergence of a Family of Weighted-Newton Methods.
Symmetry
Ramandeep Behl, Ioannis K. Argyros, J. A. Tenreiro Machado, Ali Saleh Alshomrani
2019 J jnl
Local convergence analysis of the Gauss-Newton-Kurchatov method.
CoRR
Ioannis K. Argyros, Stepan Shakhno
2019 J jnl
Local convergence of iterative methods for solving equations and system of equations using weight function techniques.
Appl. Math. Comput.
Ioannis K. Argyros, Ramandeep Behl, J. A. Tenreiro Machado, Ali Saleh Alshomrani
2019 J jnl
Two-Step Solver for Nonlinear Equations.
Symmetry
Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
2019 J jnl
Unified convergence analysis of frozen Newton-like methods under generalized conditions.
J. Comput. Appl. Math.
Ioannis K. Argyros, Santhosh George
2018 J jnl
Extending the domain of starting points for Newton's method under conditions on the second derivative.
J. Comput. Appl. Math.
Ioannis K. Argyros, J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán
2018 J jnl
On the local convergence study for an efficient k-step iterative method.
J. Comput. Appl. Math.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez
2018 J jnl
On two high-order families of frozen Newton-type methods.
Numer. Linear Algebra Appl.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
2018 J jnl
Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations.
Appl. Math. Comput.
Ioannis K. Argyros, Stefan Maruster
2017 J jnl
A new analysis for the Keller-Segel model of fractional order.
Numer. Algorithms
Sunil Kumar, Amit Kumar, Ioannis K. Argyros
2017 J jnl
Convergence of Steffensen's method for non-differentiable operators.
Numer. Algorithms
Ioannis K. Argyros, M. A. Hernández-Verón, M. Jóse Rubio
2017 J jnl
Expanding the Applicability of Some High Order Househölder-Like Methods.
Algorithms
Sergio Amat, Ioannis K. Argyros, Miguel Ángel Hernández, Natalia Romero Álvarez
2017 J jnl
Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space.
J. Complex.
Ioannis K. Argyros, Gilson N. Silva
2017 J jnl
Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions.
Algorithms
Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar
2017 J jnl
Extending the applicability of the local and semilocal convergence of Newton's method.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2017 J jnl
Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations.
Appl. Math. Comput.
Ioannis K. Argyros, Munish Kansal, Vinay Kanwar, Sugandha Bajaj
2017 J jnl
Improving the domain of parameters for Newton's method with applications.
J. Comput. Appl. Math.
Ioannis K. Argyros, Ángel Alberto Magreñán, Juan Antonio Sicilia
2017 J jnl
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions.
Numer. Algorithms
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Ángel Alberto Magreñán
2017 J jnl
Local convergence of Cauchy-type methods under hypotheses on the first derivative.
Int. J. Comput. Vis. Robotics
Ioannis K. Argyros, Daniel González
2017 J jnl
Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions.
Math. Model. Anal.
Ioannis K. Argyros, Santhosh George
2017 J jnl
Local convergence of a fast Steffensen-type method on Banach space under weak conditions.
Int. J. Comput. Sci. Math.
Ioannis K. Argyros, Santhosh George
2017 J jnl
Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications.
Fundam. Informaticae
George A. Anastassiou, Ioannis K. Argyros, Sunil Kumar
2017 J jnl
On the convergence of Newton-like methods using restricted domains.
Numer. Algorithms
Ioannis K. Argyros, Santhosh George
2017 J jnl
On the convergence of a higher order family of methods and its dynamics.
J. Comput. Appl. Math.
Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa
2017 J jnl
Third-degree anomalies of Traub's method.
J. Comput. Appl. Math.
Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa
2016 J jnl
A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations.
Appl. Math. Comput.
Ramandeep Behl, Ioannis K. Argyros, Sandile Sydney Motsa
2016 J jnl
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative.
Numer. Algorithms
Ioannis K. Argyros, Ángel Alberto Magreñán
2016 J jnl
Improved convergence analysis for Newton-like methods.
Numer. Algorithms
Ángel Alberto Magreñán, Ioannis K. Argyros
2016 — book
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
George A. Anastassiou, Ioannis K. Argyros
2016 — book
Intelligent Numerical Methods: Applications to Fractional Calculus
George A. Anastassiou, Ioannis K. Argyros
2016 J jnl
Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative.
Algorithms
Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa
2016 J jnl
Local Convergence and the Dynamics of a Two-Step Newton-Like Method.
Int. J. Bifurc. Chaos
Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz
2016 J jnl
New improved convergence analysis for the secant method.
Math. Comput. Simul.
Ángel Alberto Magreñán, Ioannis K. Argyros
2016 J jnl
Newton's method on generalized Banach spaces.
J. Complex.
Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa
2016 J jnl
On a result by Dennis and Schnabel for Newton's method: Further improvements.
Appl. Math. Lett.
Ioannis K. Argyros, Santhosh George
2016 J jnl
On the Kurchatov method for solving equations under weak conditions.
Appl. Math. Comput.
Ioannis K. Argyros, Hongmin Ren
2016 J jnl
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence.
J. Comput. Appl. Math.
Ángel Alberto Magreñán, Ioannis K. Argyros
2016 J jnl
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout
2016 J jnl
Unified convergence domains of Newton-like methods for solving operator equations.
Appl. Math. Comput.
Ioannis K. Argyros, Santhosh George
2015 J jnl
Accessibility of solutions of operator equations by Newton-like methods.
J. Complex.
Daya Ram Sahu, Y. J. Cho, Ravi P. Agarwal, Ioannis K. Argyros
2015 J jnl
An extension of a theorem by Wang for Smale's α-theory and applications.
Numer. Algorithms
Ángel Alberto Magreñán, Ioannis K. Argyros
2015 J jnl
Ball Convergence for Steffensen-type Fourth-order Methods.
Int. J. Interact. Multim. Artif. Intell.
Ioannis K. Argyros, Santhosh George
2015 J jnl
Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative.
Appl. Math. Comput.
Ioannis K. Argyros, Santhosh George
2015 J jnl
Directional Chebyshev-type methods for solving equations.
Math. Comput.
Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez
2015 J jnl
Enlarging the convergence ball of the method of parabola for finding zero of derivatives.
Appl. Math. Comput.
Ioannis K. Argyros, Santhosh George
2015 J jnl
Expanding the applicability of the Secant method under weaker conditions.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2015 J jnl
Extended convergence results for the Newton-Kantorovich iteration.
J. Comput. Appl. Math.
Ioannis K. Argyros, Ángel Alberto Magreñán
2015 J jnl
Extending the convergence domain of the Secant and Moser method in Banach Space.
J. Comput. Appl. Math.
Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz
2015 J jnl
Improved local convergence analysis of the Gauss-Newton method under a majorant condition.
Comput. Optim. Appl.
Ioannis K. Argyros, Ángel Alberto Magreñán
2015 J jnl
Local Convergence for an Improved Jarratt-type Method in Banach Space.
Int. J. Interact. Multim. Artif. Intell.
Ioannis K. Argyros, Daniel González
2015 J jnl
Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative.
Algorithms
Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa
2015 J jnl
Local Convergence of an Optimal Eighth Order Method under Weak Conditions.
Algorithms
Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa
2015 J jnl
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order.
J. Comput. Appl. Math.
Ioannis K. Argyros, Santhosh George, Ángel Alberto Magreñán
2015 J jnl
New semilocal and local convergence analysis for the Secant method.
Appl. Math. Comput.
Ángel Alberto Magreñán, Ioannis K. Argyros
2015 J jnl
Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus.
Algorithms
George A. Anastassiou, Ioannis K. Argyros
2015 J jnl
On the convergence of King-Werner-type methods of order 1 + √2 free of derivatives.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2015 J jnl
On the convergence of a Damped Secant method with modified right-hand side vector.
Appl. Math. Comput.
Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa
2015 J jnl
On the convergence of a damped Newton-like method with modified right hand side vector.
Appl. Math. Comput.
Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa
2015 J jnl
On the convergence of an optimal fourth-order family of methods and its dynamics.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2015 J jnl
On the convergence of efficient King-Werner-type methods of order 1+√2.
J. Comput. Appl. Math.
Ioannis K. Argyros, Hongmin Ren
2015 J jnl
On the convergence of inexact two-point Newton-like methods on Banach spaces.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2015 J jnl
Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences.
Appl. Math. Comput.
Ioannis K. Argyros, Sanjay Kumar Khattri
2014 J jnl
Expanding the Applicability of High-Order Traub-Type Iterative Procedures.
J. Optim. Theory Appl.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Saïd Hilout
2014 J jnl
Expanding the applicability of Newton's method using Smale's α-theory.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout, Sanjay Kumar Khattri
2014 J jnl
Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2014 J jnl
Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces.
Appl. Math. Comput.
Ioannis K. Argyros, Daniel González
2014 J jnl
Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations.
Int. J. Math. Math. Sci.
Ioannis K. Argyros, Santhosh George, Jidesh Pacheeripadikkal
2014 J jnl
Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014.
J. Appl. Math.
Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani
2014 J jnl
Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems.
Appl. Math. Comput.
Ioannis K. Argyros, Ángel Alberto Magreñán
2014 J jnl
Majorizing sequences for Newton's method under centred conditions for the derivative.
Int. J. Comput. Math.
Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán
2014 J jnl
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions.
Appl. Math. Comput.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza
2014 J jnl
On the convergence of Broyden's method in Hilbert spaces.
Appl. Math. Comput.
Ioannis K. Argyros, Y. J. Cho, Sanjay Kumar Khattri
2014 J jnl
Optimizing the applicability of a theorem by F. Potra for Newton-like methods.
Appl. Math. Comput.
Ángel Alberto Magreñán, Ioannis K. Argyros
2014 J jnl
Robust semi-local convergence analysis for inexact Newton method.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout, Ángel Alberto Magreñán
2014 J jnl
Two-step Newton methods.
J. Complex.
Ángel Alberto Magreñán Ruiz, Ioannis K. Argyros
2014 J jnl
Weaker Kantorovich type criteria for inexact Newton methods.
J. Comput. Appl. Math.
Ioannis K. Argyros, Sanjay Kumar Khattri
2014 J jnl
Weaker convergence for Newton's method under Hölder differentiability.
Int. J. Comput. Math.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Directional Secant-Type Methods for Solving Equations.
J. Optim. Theory Appl.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Efficient Steffensen-type algorithms for solving nonlinear equations.
Int. J. Comput. Math.
Ioannis K. Argyros, Hongmin Ren
2013 J jnl
Estimating upper bounds on the limit points of majorizing sequences for Newton's method.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory.
Appl. Math. Comput.
Ioannis K. Argyros, Sanjay Kumar Khattri, Saïd Hilout
2013 J jnl
Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems.
Appl. Math. Comput.
Ioannis K. Argyros, Santhosh George
2013 J jnl
Extending the applicability of Newton's method on Lie groups.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces.
J. Frankl. Inst.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Iterative Methods for Nonlinear Equations or Systems and Their Applications.
J. Appl. Math.
Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani
2013 J jnl
On a bilinear operator free third order method on Riemannian manifolds.
Appl. Math. Comput.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza
2013 J jnl
On an improved convergence analysis of Newton's method.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
On the Secant method.
J. Complex.
Ioannis K. Argyros, Sanjay Kumar Khattri
2013 J jnl
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout
2013 J jnl
Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals.
Appl. Math. Comput.
Hongmin Ren, Long Wu, Weihong Bi, Ioannis K. Argyros
2013 J jnl
Unified majorizing sequences for Traub-type multipoint iterative procedures.
Numer. Algorithms
Ioannis K. Argyros, Daniel González
2012 J jnl
Improved local analysis for a certain class of iterative methods with cubic convergence.
Numer. Algorithms
Hongmin Ren, Ioannis K. Argyros
2012 J jnl
Improved local convergence of Newton's method under weak majorant condition.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
Local convergence of efficient Secant-type methods for solving nonlinear equations.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2012 J jnl
Majorizing sequences for iterative methods.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
Majorizing sequences for iterative procedures in Banach spaces.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
New conditions for the convergence of Newton-like methods and applications.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2012 J jnl
On the semilocal convergence of damped Newton's method.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
Secant-type methods and nondiscrete induction.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2012 J jnl
Weaker conditions for the convergence of Newton's method.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
A derivative free iterative method for solving least squares problems.
Numer. Algorithms
Hongmin Ren, Ioannis K. Argyros, Saïd Hilout
2011 J jnl
A semilocal convergence analysis for directional Newton methods.
Math. Comput.
Ioannis K. Argyros
2011 J jnl
A unifying theorem for Newton's method on spaces with a convergence structure.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Convergence of Directional Methods under mild differentiability and applications.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Extended sufficient semilocal convergence for the Secant method.
Comput. Math. Appl.
Yeol Je Cho, Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Extending the applicability of Secant methods and nondiscrete induction.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Kantorovich-type semilocal convergence analysis for inexact Newton methods.
J. Comput. Appl. Math.
Ioannis K. Argyros, Hongmin Ren
2011 J jnl
On the semilocal convergence of efficient Chebyshev-Secant-type methods.
J. Comput. Appl. Math.
Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout
2011 J jnl
On the solution of systems of equations with constant rank derivatives.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2011 J jnl
Sixth order derivative free family of iterative methods.
Appl. Math. Comput.
Sanjay Kumar Khattri, Ioannis K. Argyros
2011 J jnl
Weak convergence conditions for Inexact Newton-type methods.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
A convergence analysis for directional two-step Newton methods.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
A unified approach for the convergence of certain numerical algorithms, using recurrent functions.
Computing
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
An improved convergence analysis for the Newton-Kantorovich method using recurrence relations.
Int. J. Comput. Math.
Ioannis K. Argyros
2010 J jnl
Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems.
Comput. Math. Appl.
Yeol Je Cho, Ioannis K. Argyros, Narin Petrot
2010 J jnl
Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2010 J jnl
Extending the Newton-Kantorovich hypothesis for solving equations.
J. Comput. Appl. Math.
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
Improved generalized differentiability conditions for Newton-like methods.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
Improved results on estimating and extending the radius of an attraction ball.
Appl. Math. Lett.
Jinhai Chen, Ioannis K. Argyros
2010 J jnl
Inexact Newton-type methods.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
Local convergence of a secant type method for solving least squares problems.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2010 J jnl
Majorizing functions and two-point Newton-type methods.
J. Comput. Appl. Math.
Jinhai Chen, Ioannis K. Argyros, Ravi P. Agarwal
2010 J jnl
On a class of secant-like methods for solving nonlinear equations.
Numer. Algorithms
Ioannis K. Argyros
2010 J jnl
On the convergence of Newton-type methods using recurrent functions.
Int. J. Comput. Math.
Ioannis K. Argyros, Saïd Hilout
2010 J jnl
On the convergence region of Newton's method under Hölder continuity conditions.
Int. J. Comput. Math.
Ioannis K. Argyros
2010 J jnl
On the local convergence of inexact Newton-type methods under residual control-type conditions.
J. Comput. Appl. Math.
Hongmin Ren, Ioannis K. Argyros
2010 J jnl
On the midpoint method for solving equations.
Appl. Math. Comput.
Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout
2009 J jnl
Generalized equations, variational inequalities and a weak Kantorovich theorem.
Numer. Algorithms
Livinus Ugochukwu Uko, Ioannis K. Argyros
2009 J jnl
On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two.
Appl. Math. Comput.
Ioannis K. Argyros
2009 J jnl
On Ulm's method using divided differences of order one.
Numer. Algorithms
Ioannis K. Argyros
2009 J jnl
On an improved local convergence analysis for the Secant method.
Numer. Algorithms
Ioannis K. Argyros, Hongmin Ren
2009 J jnl
On convergence of the modified Newton's method under Hölder continuous Fréchet derivative.
Appl. Math. Comput.
Hongmin Ren, Ioannis K. Argyros
2009 J jnl
On local convergence of a Newton-type method in Banach space.
Int. J. Comput. Math.
Ioannis K. Argyros, Jinhai Chen
2009 J jnl
On the convergence of Newton-type methods under mild differentiability conditions.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2009 J jnl
On the convergence of modified Newton methods for solving equations containing a non-differentiable term.
J. Comput. Appl. Math.
Ioannis K. Argyros, Hongmin Ren
2009 J jnl
On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces.
J. Comput. Appl. Math.
Ioannis K. Argyros, Yeol Je Cho, Xiaolong Qin
2009 J jnl
On the weakening of the convergence of Newton's method using recurrent functions.
J. Complex.
Ioannis K. Argyros, Saïd Hilout
2008 J jnl
A Fréchet derivative-free cubically convergent method for set-valued maps.
Numer. Algorithms
Ioannis K. Argyros, Saïd Hilout
2008 J jnl
Local convergence of Newton-like methods for generalized equations.
Appl. Math. Comput.
Ioannis K. Argyros, Saïd Hilout
2008 J jnl
On the convergence of the midpoint method.
Numer. Algorithms
Ioannis K. Argyros, Livinus Ugochukwu Uko
2007 J jnl
Improved convergence and complexity analysis of Newton's method for solving equations.
Int. J. Comput. Math.
Ioannis K. Argyros
2007 J jnl
On a non-smooth version of Newton's method based on Hölderian assumption
Int. J. Comput. Math.
Ioannis K. Argyros
2005 J jnl
A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points.
Int. J. Comput. Math.
Ioannis K. Argyros
2005 J jnl
On a two-point Newton-like method of convergent order two.
Int. J. Comput. Math.
Ioannis K. Argyros
2004 J jnl
Improved convergence analysis for the Secant method based on a certain type of recurrence relations.
Int. J. Comput. Math.
Ioannis K. Argyros
2003 J jnl
On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions.
Int. J. Comput. Math.
Ioannis K. Argyros
2001 J jnl
On the radius of convergence of newton's method.
Int. J. Comput. Math.
Ioannis K. Argyros
2000 J jnl
Forcing sequences and inexact Newton iterates in Banach space.
Appl. Math. Lett.
Ioannis K. Argyros
1999 J jnl
Convergence rates for inexact Newton-like methods at singular points and applications.
Appl. Math. Comput.
Ioannis K. Argyros
1999 J jnl
On Newton's method under mild differentiability conditions and applications.
Appl. Math. Comput.
Ioannis K. Argyros
1999 J jnl
On the convergence of two-step methods generated by point-to-point operators.
Appl. Math. Comput.
Ioannis K. Argyros
1999 J jnl
Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space.
Computing
Ioannis K. Argyros
1999 J jnl
Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space.
Int. J. Comput. Math.
Ioannis K. Argyros
1999 J jnl
Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications.
Appl. Math. Comput.
Ioannis K. Argyros
1999 J jnl
Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces.
Appl. Math. Comput.
Ioannis K. Argyros
1998 J jnl
Sufficient conditions for constructing methods faster than Newton's.
Appl. Math. Comput.
Ioannis K. Argyros
1992 J jnl
Improved error bounds for the modified secant method.
Int. J. Comput. Math.
Ioannis K. Argyros
1990 J jnl
A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions.
Computing
Ioannis K. Argyros