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2020 – today
- 2025
[j237]Doha A. Kattan, Umar Ishtiaq, Muhammad Farhan, Ioannis K. Argyros, Mohammad Akram, Samundra Regmi:
Solution of an integral equation in controlled rectangular metric spaces via weakly contractive mappings. J. Comput. Appl. Math. 454: 116187 (2025)- [j236]Chih-Wen Chang
, Sania Qureshi, Ioannis K. Argyros, Francisco I. Chicharro, Amanullah Soomro:
A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions. Math. Comput. Simul. 229: 448-467 (2025) - 2024
- [j235]Ioannis K. Argyros, Santhosh George, Samundra Regmi, Christopher I. Argyros:
Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations. Algorithms 17(4): 154 (2024) - [j234]Sania Qureshi, Francisco I. Chicharro, Ioannis K. Argyros, Amanullah Soomro, Jihan Alahmadi, Evren Hincal:
A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis. Axioms 13(6): 341 (2024) - [j233]Ioannis K. Argyros, Santhosh George, Samundra Regmi, Michael I. Argyros:
On the Kantorovich Theory for Nonsingular and Singular Equations. Axioms 13(6): 358 (2024) - [j232]Mohammad Akram, Salha Alshaikey, Umar Ishtiaq, Muhammad Farhan, Ioannis K. Argyros, Samundra Regmi:
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 13(6): 415 (2024) - [j231]Ibrahim Alraddadi, Muhammad Din, Umar Ishtiaq, Mohammad Akram, Ioannis K. Argyros:
Enriched Z-Contractions and Fixed-Point Results with Applications to IFS. Axioms 13(8): 562 (2024) - [j230]Indra Bate, Muniyasamy Murugan, Santhosh George, Kedarnath Senapati, Ioannis K. Argyros, Samundra Regmi:
On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations. Axioms 13(9): 601 (2024) - [j229]Chih-Wen Chang, Sania Qureshi, Ioannis K. Argyros, Khair Muhammad Saraz, Evren Hincal:
A Modified Fractional Newton's Solver. Axioms 13(10): 689 (2024) - [j228]Ramandeep Behl, Ioannis K. Argyros:
Larger convergence regions for an efficient two-step iterative method. Comput. Appl. Math. 43(1): 76 (2024) - [j227]Santhosh George, Ajil Kunnarath, Ramya Sadananda, P. Jidesh, Ioannis K. Argyros:
On obtaining order of convergence of Jarratt-like method without using Taylor series expansion. Comput. Appl. Math. 43(4): 246 (2024) - [j226]Ioannis K. Argyros, Santhosh George:
On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. J. Complex. 81: 101817 (2024) - [j225]Sania Qureshi, Ioannis K. Argyros, Amanullah Soomro, Krzysztof Gdawiec, Asif Ali Shaikh, Evren Hincal:
A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography. Numer. Algorithms 95(4): 1715-1745 (2024) - [j224]Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola, Michael I. Argyros:
Symmetric-Type Multi-Step Difference Methods for Solving Nonlinear Equations. Symmetry 16(3): 330 (2024) - [j223]Ramandeep Behl, Ioannis K. Argyros:
Convergence of a Family of Methods with Symmetric, Antisymmetric Parameters and Weight Functions. Symmetry 16(9): 1179 (2024) - 2023
- [j222]Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola:
On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space. Algorithms 16(1): 2 (2023) - [j221]Manoj K. Singh, Ioannis K. Argyros, Arvind K. Singh:
Newton-like Normal S-iteration under Weak Conditions. Axioms 12(3): 283 (2023) - [j220]Umar Ishtiaq, Fahad Jahangeer, Doha A. Kattan, Ioannis K. Argyros, Samundra Regmi:
On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. Axioms 12(8): 725 (2023) - [j219]Khaleel Ahmad, Ghulam Murtaza, Salha Alshaikey, Umar Ishtiaq, Ioannis K. Argyros:
Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application. Axioms 12(10): 941 (2023) - [j218]Samundra Regmi, Ioannis K. Argyros, Santhosh George, Michael I. Argyros:
Extended Kantorovich theory for solving nonlinear equations with applications. Comput. Appl. Math. 42(2) (2023) - [j217]Samundra Regmi, Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola:
Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations. Comput. 11(3): 49 (2023) - [j216]Santhosh George, Muhammed Saeed K, Ioannis K. Argyros, P. Jidesh:
An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. J. Appl. Math. Comput. 69(1): 1095-1115 (2023) - [j215]Ramya Sadananda, Santhosh George, Ajil Kunnarath, Jidesh Padikkal, Ioannis K. Argyros:
Enhancing the practicality of Newton-Cotes iterative method. J. Appl. Math. Comput. 69(4): 3359-3389 (2023) - [j214]Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola:
On the complexity of a unified convergence analysis for iterative methods. J. Complex. 79: 101781 (2023) - [j213]Christopher I. Argyros, Michael I. Argyros, Ioannis K. Argyros, Ángel Alberto Magreñán, Íñigo Sarría Martínez de Mendivil:
Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields. J. Comput. Appl. Math. 426: 115072 (2023) - [j212]Krzysztof Gdawiec, Ioannis K. Argyros, Sania Qureshi, Amanullah Soomro:
An optimal homotopy continuation method: Convergence and visual analysis. J. Comput. Sci. 74: 102166 (2023) - [j211]Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola:
Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach. Symmetry 15(1): 15 (2023) - [j210]Umar Ishtiaq, Fahad Jahangeer, Doha A. Kattan, Ioannis K. Argyros:
Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application. Symmetry 15(8): 1501 (2023) - 2022
- [j209]Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros:
Numerical Processes for Approximating Solutions of Nonlinear Equations. Axioms 11(7): 307 (2022) - [j208]Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda:
Extended iterative schemes based on decomposition for nonlinear models. J. Appl. Math. Comput. 68(3): 1485-1504 (2022) - [j207]Ioannis K. Argyros:
Weaker convergence criteria for Traub's method. J. Complex. 69: 101615 (2022) - [j206]Ioannis K. Argyros, Santhosh George, Christopher I. Argyros:
On the complexity of convergence for high order iterative methods. J. Complex. 73: 101678 (2022) - [j205]Alejandro Moysi, Michael I. Argyros, Ioannis K. Argyros, Ángel Alberto Magreñán, Íñigo Sarría, Daniel González:
Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications. J. Comput. Appl. Math. 404: 113392 (2022) - [j204]Jitsupa Deepho, Auwal Bala Abubakar, Maulana Malik, Ioannis K. Argyros:
Solving unconstrained optimization problems via hybrid CD-DY conjugate gradient methods with applications. J. Comput. Appl. Math. 405: 113823 (2022) - [j203]Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros:
Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications. Symmetry 14(7): 1484 (2022) - [j202]Ioannis K. Argyros, Samundra Regmi, Stepan Shakhno, Halyna Yarmola:
Perturbed Newton Methods for Solving Nonlinear Equations with Applications. Symmetry 14(10): 2206 (2022) - [j201]Krishnendu Remesh, Ioannis K. Argyros, Muhammed Saeed K, Santhosh George, Jidesh Padikkal:
Extending the Applicability of Cordero Type Iterative Method. Symmetry 14(12): 2495 (2022) - [j200]Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola:
On the Convergence of Two-Step Kurchatov-Type Methods under Generalized Continuity Conditions for Solving Nonlinear Equations. Symmetry 14(12): 2548 (2022) - 2021
- [j199]Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda, Michael I. Argyros:
Extended High Order Algorithms for Equations under the Same Set of Conditions. Algorithms 14(7): 207 (2021) - [j198]Abdolreza Amiri, Ioannis K. Argyros:
On the approximation of mth power divided differences preserving the local order of convergence. Appl. Math. Comput. 410: 126415 (2021) - [j197]Ioannis K. Argyros, Stepan Shakhno, Roman Iakymchuk, Halyna Yarmola, Michael I. Argyros:
Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions. Axioms 10(3): 158 (2021) - [j196]Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Nasser Aedh Alreshidi:
Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications. Comput. Appl. Math. 40(2) (2021) - [j195]Ioannis K. Argyros, Michael I. Argyros, Johan Ceballos, Mariana Ceballos, Daniel González:
Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications. Comput. Math. Methods 3(5) (2021) - [j194]Michael I. Argyros, Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán, Alejandro Moysi, Íñigo Sarría:
Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis. Comput. Math. Methods 3(6) (2021) - [j193]Ramandeep Behl, Ioannis K. Argyros, Christopher I. Argyros:
On the local convergence of efficient Newton-type solvers with frozen derivatives for nonlinear equations. Comput. Math. Methods 3(6) (2021) - [j192]Hongmin Ren, Ioannis K. Argyros:
On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative. J. Complex. 64: 101526 (2021) - [j191]Kanikar Muangchoo, Nasser Aedh Alreshidi, Ioannis K. Argyros:
Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces. Symmetry 13(2): 182 (2021) - [j190]Harish Bhatt, Janak Joshi, Ioannis K. Argyros:
Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen-Cahn Equations. Symmetry 13(2): 245 (2021) - [j189]Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda:
A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models. Symmetry 13(4): 715 (2021) - [j188]Mahmoud S. Alrawashdeh, Seba A. Migdady, Ioannis K. Argyros:
An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method. Symmetry 13(6): 984 (2021) - [j187]Nopparat Wairojjana, Ioannis K. Argyros, Meshal Shutaywi, Wejdan Deebani, Christopher I. Argyros:
A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities. Symmetry 13(7): 1108 (2021) - [j186]Ramandeep Behl, Ioannis K. Argyros, Fouad Othman Mallawi, Christopher I. Argyros:
Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences. Symmetry 13(7): 1162 (2021) - [j185]Christopher I. Argyros, Ioannis K. Argyros, Janak Joshi, Samundra Regmi, Santhosh George:
On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations. Symmetry 13(12): 2281 (2021) - 2020
- [j184]Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros:
Local Convergence of an Efficient Multipoint Iterative Method in Banach Space. Algorithms 13(1): 25 (2020) - [j183]Samundra Regmi, Ioannis K. Argyros, Santhosh George:
Local Comparison between Two Ninth Convergence Order Algorithms for Equations. Algorithms 13(6): 147 (2020) - [j182]Ioannis K. Argyros, Johan Ceballos, Daniel González, José Manuel Gutiérrez Jiménez:
Extending the applicability of Newton's method for a class of boundary value problems using the shooting method. Appl. Math. Comput. 384: 125378 (2020) - [j181]Nopparat Wairojjana, Habib Ur Rehman, Ioannis K. Argyros, Nuttapol Pakkaranang:
An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications. Axioms 9(3): 99 (2020) - [j180]Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola:
Improving Convergence Analysis of the Newton-Kurchatov Method under Weak Conditions. Comput. 8(1): 8 (2020) - [j179]Gus I. Argyros, Michael I. Argyros, Samundra Regmi, Ioannis K. Argyros, Santhosh George:
On the Solution of Equations by Extended Discretization. Comput. 8(3): 69 (2020) - [j178]Ali Saleh Alshomrani, Ramandeep Behl, Ioannis K. Argyros:
Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative. Int. J. Comput. Math. 97(1-2): 444-454 (2020) - [j177]Ioannis K. Argyros, Santhosh George:
Convergence analysis for single point Newton-type iterative schemes. J. Appl. Math. Comput. 62(1-2): 55-65 (2020) - [j176]Ioannis K. Argyros, Santhosh George:
On the complexity of extending the convergence region for Traub's method. J. Complex. 56 (2020) - [j175]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez:
On the local and semilocal convergence of a parameterized multi-step Newton method. J. Comput. Appl. Math. 376: 112843 (2020) - [j174]Ioannis K. Argyros, Santhosh George, Kedarnath Senapati:
Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations. Numer. Algorithms 83(1): 333-353 (2020) - [j173]Ramandeep Behl, Ioannis K. Argyros:
Local Convergence of Solvers with Eighth Order Having Weak Conditions. Symmetry 12(1): 70 (2020) - [j172]Alejandro Moysi, Ioannis K. Argyros, Samundra Regmi, Daniel González, Ángel Alberto Magreñán, Juan Antonio Sicilia:
Convergence and Dynamics of a Higher-Order Method. Symmetry 12(3): 420 (2020) - [j171]Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Wejdan Deebani, Wiyada Kumam:
Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem. Symmetry 12(4): 503 (2020) - [j170]Habib Ur Rehman, Poom Kumam, Ioannis K. Argyros, Nasser Aedh Alreshidi, Wiyada Kumam, Wachirapong Jirakitpuwapat:
A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems. Symmetry 12(4): 523 (2020) - [j169]Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola:
Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems. Symmetry 12(6): 978 (2020) - [j168]Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola:
Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations. Symmetry 12(7): 1093 (2020)
2010 – 2019
- 2019
- [j167]Ioannis K. Argyros, Ramandeep Behl, J. A. Tenreiro Machado, Ali Saleh Alshomrani:
Local convergence of iterative methods for solving equations and system of equations using weight function techniques. Appl. Math. Comput. 347: 891-902 (2019) - [j166]Ioannis K. Argyros, Santhosh George, Ángel Alberto Magreñán:
Improved semi-local convergence of the Newton-HSS method for solving large systems of equations. Appl. Math. Lett. 98: 29-35 (2019) - [j165]C. D. Sreedeep, Santhosh George, Ioannis K. Argyros:
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space. J. Appl. Math. Comput. 60(1-2): 435-453 (2019) - [j164]Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros:
Generalized Kung-Traub method and its multi-step iteration in Banach spaces. J. Complex. 54 (2019) - [j163]Ioannis K. Argyros, Santhosh George:
Unified convergence analysis of frozen Newton-like methods under generalized conditions. J. Comput. Appl. Math. 347: 95-107 (2019) - [j162]Ioannis K. Argyros, Gilson N. Silva:
Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation. Optim. Lett. 13(1): 213-226 (2019) - [j161]Ramandeep Behl, Ioannis K. Argyros, J. A. Tenreiro Machado, Ali Saleh Alshomrani:
Local Convergence of a Family of Weighted-Newton Methods. Symmetry 11(1): 103 (2019) - [j160]Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola:
Two-Step Solver for Nonlinear Equations. Symmetry 11(2): 128 (2019) - [j159]Janak Raj Sharma, Deepak Kumar, Ioannis K. Argyros:
An Efficient Class of Traub-Steffensen-Like Seventh Order Multiple-Root Solvers with Applications. Symmetry 11(4): 518 (2019) - [j158]Ramandeep Behl, Ioannis K. Argyros, Fouad Othman Mallawi, J. A. Tenreiro Machado:
Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines. Symmetry 11(4): 586 (2019) - [j157]Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros:
Development of Optimal Eighth Order Derivative-Free Methods for Multiple Roots of Nonlinear Equations. Symmetry 11(6): 766 (2019) - [j156]Ioannis K. Argyros, Santhosh George, Chandhini Godavarma, Ángel Alberto Magreñán:
Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method. Symmetry 11(8): 981 (2019) - [j155]Rania A. Alharbey, Ioannis K. Argyros, Ramandeep Behl:
Ball Convergence for Combined Three-Step Methods Under Generalized Conditions in Banach Space. Symmetry 11(8): 1002 (2019) - [i1]Ioannis K. Argyros, Stepan Shakhno:
Local convergence analysis of the Gauss-Newton-Kurchatov method. CoRR abs/1906.03505 (2019) - 2018
- [j154]Ioannis K. Argyros, Stefan Maruster:
Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations. Appl. Math. Comput. 329: 420-431 (2018) - [j153]Ioannis K. Argyros, J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán:
Extending the domain of starting points for Newton's method under conditions on the second derivative. J. Comput. Appl. Math. 340: 1-10 (2018) - [j152]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez:
On the local convergence study for an efficient k-step iterative method. J. Comput. Appl. Math. 343: 753-761 (2018) - [j151]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón:
On two high-order families of frozen Newton-type methods. Numer. Linear Algebra Appl. 25(1) (2018) - 2017
- [j150]Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar:
Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions. Algorithms 10(2): 54 (2017) - [j149]Sergio Amat, Ioannis K. Argyros, Miguel Ángel Hernández, Natalia Romero Álvarez:
Expanding the Applicability of Some High Order Househölder-Like Methods. Algorithms 10(2): 64 (2017) - [j148]Ioannis K. Argyros, Ángel Alberto Magreñán:
Extending the applicability of the local and semilocal convergence of Newton's method. Appl. Math. Comput. 292: 349-355 (2017) - [j147]Ioannis K. Argyros, Munish Kansal, Vinay Kanwar, Sugandha Bajaj:
Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. Appl. Math. Comput. 315: 224-245 (2017) - [j146]George A. Anastassiou, Ioannis K. Argyros, Sunil Kumar:
Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications. Fundam. Informaticae 151(1-4): 241-253 (2017) - [j145]Ioannis K. Argyros, Santhosh George:
Local convergence of a fast Steffensen-type method on Banach space under weak conditions. Int. J. Comput. Sci. Math. 8(6): 495-505 (2017) - [j144]Ioannis K. Argyros, Daniel González:
Local convergence of Cauchy-type methods under hypotheses on the first derivative. Int. J. Comput. Vis. Robotics 7(6): 613-622 (2017) - [j143]Ioannis K. Argyros, Gilson N. Silva:
Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space. J. Complex. 43: 38-50 (2017) - [j142]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
Third-degree anomalies of Traub's method. J. Comput. Appl. Math. 309: 511-521 (2017) - [j141]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a higher order family of methods and its dynamics. J. Comput. Appl. Math. 309: 542-562 (2017) - [j140]Ioannis K. Argyros, Ángel Alberto Magreñán, Juan Antonio Sicilia:
Improving the domain of parameters for Newton's method with applications. J. Comput. Appl. Math. 318: 124-135 (2017) - [j139]Ioannis K. Argyros, Santhosh George:
Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions. Math. Model. Anal. 22(2): 228-236 (2017) - [j138]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Ángel Alberto Magreñán:
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Numer. Algorithms 74(2): 371-391 (2017) - [j137]Sunil Kumar, Amit Kumar, Ioannis K. Argyros:
A new analysis for the Keller-Segel model of fractional order. Numer. Algorithms 75(1): 213-228 (2017) - [j136]Ioannis K. Argyros, M. A. Hernández-Verón, M. Jóse Rubio:
Convergence of Steffensen's method for non-differentiable operators. Numer. Algorithms 75(1): 229-244 (2017) - [j135]Ioannis K. Argyros, Santhosh George:
On the convergence of Newton-like methods using restricted domains. Numer. Algorithms 75(3): 553-567 (2017) - 2016
- [b2]George A. Anastassiou, Ioannis K. Argyros:
Intelligent Numerical Methods: Applications to Fractional Calculus. Studies in Computational Intelligence 624, Springer 2016, ISBN 978-3-319-26720-3, pp. 1-420 - [b1]George A. Anastassiou, Ioannis K. Argyros:
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus. Studies in Computational Intelligence 649, Springer 2016, ISBN 978-3-319-33605-3, pp. 1-116 - [j134]Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa:
Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative. Algorithms 9(4): 65 (2016) - [j133]Ioannis K. Argyros, Hongmin Ren:
On the Kurchatov method for solving equations under weak conditions. Appl. Math. Comput. 273: 98-113 (2016) - [j132]Ramandeep Behl, Ioannis K. Argyros, Sandile Sydney Motsa:
A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations. Appl. Math. Comput. 282: 175-186 (2016) - [j131]Ioannis K. Argyros, Santhosh George:
Unified convergence domains of Newton-like methods for solving operator equations. Appl. Math. Comput. 286: 106-114 (2016) - [j130]Ioannis K. Argyros, Santhosh George:
On a result by Dennis and Schnabel for Newton's method: Further improvements. Appl. Math. Lett. 55: 49-53 (2016) - [j129]Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz:
Local Convergence and the Dynamics of a Two-Step Newton-Like Method. Int. J. Bifurc. Chaos 26(5): 1630012:1-1630012:18 (2016) - [j128]Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa:
Newton's method on generalized Banach spaces. J. Complex. 35: 16-28 (2016) - [j127]Ioannis K. Argyros, Saïd Hilout:
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. J. Comput. Appl. Math. 291: 332-347 (2016) - [j126]Ángel Alberto Magreñán, Ioannis K. Argyros:
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. J. Comput. Appl. Math. 298: 236-251 (2016) - [j125]Ángel Alberto Magreñán, Ioannis K. Argyros:
New improved convergence analysis for the secant method. Math. Comput. Simul. 119: 161-170 (2016) - [j124]Ioannis K. Argyros, Ángel Alberto Magreñán:
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Numer. Algorithms 71(1): 1-23 (2016) - [j123]Ángel Alberto Magreñán, Ioannis K. Argyros:
Improved convergence analysis for Newton-like methods. Numer. Algorithms 71(4): 811-826 (2016) - 2015
- [j122]Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa:
Local Convergence of an Optimal Eighth Order Method under Weak Conditions. Algorithms 8(3): 645-655 (2015) - [j121]George A. Anastassiou, Ioannis K. Argyros:
Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus. Algorithms 8(4): 832-849 (2015) - [j120]Ioannis K. Argyros, Ramandeep Behl, Sandile Sydney Motsa:
Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative. Algorithms 8(4): 1076-1087 (2015) - [j119]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a Damped Secant method with modified right-hand side vector. Appl. Math. Comput. 252: 315-323 (2015) - [j118]Ioannis K. Argyros, Ángel Alberto Magreñán:
On the convergence of an optimal fourth-order family of methods and its dynamics. Appl. Math. Comput. 252: 336-346 (2015) - [j117]Ioannis K. Argyros, Santhosh George:
Enlarging the convergence ball of the method of parabola for finding zero of derivatives. Appl. Math. Comput. 256: 68-74 (2015) - [j116]Hongmin Ren, Ioannis K. Argyros:
On the convergence of King-Werner-type methods of order 1 + √2 free of derivatives. Appl. Math. Comput. 256: 148-159 (2015) - [j115]Ángel Alberto Magreñán, Ioannis K. Argyros:
New semilocal and local convergence analysis for the Secant method. Appl. Math. Comput. 262: 298-307 (2015) - [j114]Ioannis K. Argyros, Sanjay Kumar Khattri:
Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences. Appl. Math. Comput. 263: 59-72 (2015) - [j113]Ioannis K. Argyros, Ángel Alberto Magreñán:
On the convergence of inexact two-point Newton-like methods on Banach spaces. Appl. Math. Comput. 265: 893-902 (2015) - [j112]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a damped Newton-like method with modified right hand side vector. Appl. Math. Comput. 266: 927-936 (2015) - [j111]Ioannis K. Argyros, Ángel Alberto Magreñán:
Expanding the applicability of the Secant method under weaker conditions. Appl. Math. Comput. 266: 1000-1012 (2015) - [j110]Ioannis K. Argyros, Santhosh George:
Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative. Appl. Math. Comput. 266: 1031-1037 (2015) - [j109]Ioannis K. Argyros, Ángel Alberto Magreñán:
Improved local convergence analysis of the Gauss-Newton method under a majorant condition. Comput. Optim. Appl. 60(2): 423-439 (2015) - [j108]Ioannis K. Argyros, Daniel González:
Local Convergence for an Improved Jarratt-type Method in Banach Space. Int. J. Interact. Multim. Artif. Intell. 3(4): 20-25 (2015) - [j107]Ioannis K. Argyros, Santhosh George:
Ball Convergence for Steffensen-type Fourth-order Methods. Int. J. Interact. Multim. Artif. Intell. 3(4): 37-42 (2015) - [j106]Daya Ram Sahu, Y. J. Cho, Ravi P. Agarwal, Ioannis K. Argyros:
Accessibility of solutions of operator equations by Newton-like methods. J. Complex. 31(4): 637-657 (2015) - [j105]Ioannis K. Argyros, Santhosh George, Ángel Alberto Magreñán:
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. J. Comput. Appl. Math. 282: 215-224 (2015) - [j104]Ioannis K. Argyros, Hongmin Ren:
On the convergence of efficient King-Werner-type methods of order 1+√2. J. Comput. Appl. Math. 285: 169-180 (2015) - [j103]Ioannis K. Argyros, Ángel Alberto Magreñán:
Extended convergence results for the Newton-Kantorovich iteration. J. Comput. Appl. Math. 286: 54-67 (2015) - [j102]Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz:
Extending the convergence domain of the Secant and Moser method in Banach Space. J. Comput. Appl. Math. 290: 114-124 (2015) - [j101]Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez:
Directional Chebyshev-type methods for solving equations. Math. Comput. 84(292): 815-830 (2015) - [j100]Ángel Alberto Magreñán, Ioannis K. Argyros:
An extension of a theorem by Wang for Smale's α-theory and applications. Numer. Algorithms 68(1): 47-60 (2015) - 2014
- [j99]Ioannis K. Argyros, Saïd Hilout, Ángel Alberto Magreñán:
Robust semi-local convergence analysis for inexact Newton method. Appl. Math. Comput. 227: 741-754 (2014) - [j98]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza:
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Appl. Math. Comput. 227: 762-787 (2014) - [j97]Ioannis K. Argyros, Daniel González:
Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces. Appl. Math. Comput. 234: 167-178 (2014) - [j96]Ioannis K. Argyros, Ángel Alberto Magreñán:
Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems. Appl. Math. Comput. 241: 401-408 (2014) - [j95]Ángel Alberto Magreñán, Ioannis K. Argyros:
Optimizing the applicability of a theorem by F. Potra for Newton-like methods. Appl. Math. Comput. 242: 612-623 (2014) - [j94]Ioannis K. Argyros, Y. J. Cho, Sanjay Kumar Khattri:
On the convergence of Broyden's method in Hilbert spaces. Appl. Math. Comput. 242: 945-951 (2014) - [j93]Ioannis K. Argyros, Ángel Alberto Magreñán:
Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds. Appl. Math. Comput. 249: 453-467 (2014) - [j92]Ioannis K. Argyros, Saïd Hilout:
Weaker convergence for Newton's method under Hölder differentiability. Int. J. Comput. Math. 91(6): 1351-1369 (2014) - [j91]Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán:
Majorizing sequences for Newton's method under centred conditions for the derivative. Int. J. Comput. Math. 91(12): 2568-2583 (2014) - [j90]Ioannis K. Argyros, Santhosh George, Jidesh Pacheeripadikkal:
Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. Int. J. Math. Math. Sci. 2014: 754154:1-754154:8 (2014) - [j89]Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani:
Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014. J. Appl. Math. 2014: 293263:1-293263:2 (2014) - [j88]Ángel Alberto Magreñán Ruiz, Ioannis K. Argyros:
Two-step Newton methods. J. Complex. 30(4): 533-553 (2014) - [j87]Ioannis K. Argyros, Sanjay Kumar Khattri:
Weaker Kantorovich type criteria for inexact Newton methods. J. Comput. Appl. Math. 261: 103-117 (2014) - [j86]Ioannis K. Argyros, Saïd Hilout, Sanjay Kumar Khattri:
Expanding the applicability of Newton's method using Smale's α-theory. J. Comput. Appl. Math. 261: 183-200 (2014) - [j85]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Saïd Hilout:
Expanding the Applicability of High-Order Traub-Type Iterative Procedures. J. Optim. Theory Appl. 161(3): 837-852 (2014) - 2013
- [j84]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza:
On a bilinear operator free third order method on Riemannian manifolds. Appl. Math. Comput. 219(14): 7429-7444 (2013) - [j83]Ioannis K. Argyros, Saïd Hilout:
Extending the applicability of Newton's method on Lie groups. Appl. Math. Comput. 219(20): 10355-10365 (2013) - [j82]Ioannis K. Argyros, Santhosh George:
Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems. Appl. Math. Comput. 219(21): 10518-10526 (2013) - [j81]Hongmin Ren, Long Wu, Weihong Bi, Ioannis K. Argyros:
Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals. Appl. Math. Comput. 219(23): 10967-10973 (2013) - [j80]Ioannis K. Argyros, Sanjay Kumar Khattri, Saïd Hilout:
Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory. Appl. Math. Comput. 224: 224-237 (2013) - [j79]Ioannis K. Argyros, Saïd Hilout:
On an improved convergence analysis of Newton's method. Appl. Math. Comput. 225: 372-386 (2013) - [j78]Ioannis K. Argyros, Hongmin Ren:
Efficient Steffensen-type algorithms for solving nonlinear equations. Int. J. Comput. Math. 90(3): 691-704 (2013) - [j77]Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani:
Iterative Methods for Nonlinear Equations or Systems and Their Applications. J. Appl. Math. 2013: 656953:1-656953:2 (2013) - [j76]Ioannis K. Argyros, Sanjay Kumar Khattri:
On the Secant method. J. Complex. 29(6): 454-471 (2013) - [j75]Ioannis K. Argyros, Saïd Hilout:
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. J. Comput. Appl. Math. 245: 1-9 (2013) - [j74]Ioannis K. Argyros, Saïd Hilout:
Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. J. Frankl. Inst. 350(6): 1531-1544 (2013) - [j73]Ioannis K. Argyros, Saïd Hilout:
Directional Secant-Type Methods for Solving Equations. J. Optim. Theory Appl. 157(2): 462-485 (2013) - [j72]Ioannis K. Argyros, Saïd Hilout:
Estimating upper bounds on the limit points of majorizing sequences for Newton's method. Numer. Algorithms 62(1): 115-132 (2013) - [j71]Ioannis K. Argyros, Daniel González:
Unified majorizing sequences for Traub-type multipoint iterative procedures. Numer. Algorithms 64(3): 549-565 (2013) - 2012
- [j70]Hongmin Ren, Ioannis K. Argyros:
Local convergence of efficient Secant-type methods for solving nonlinear equations. Appl. Math. Comput. 218(14): 7655-7664 (2012) - [j69]Hongmin Ren, Ioannis K. Argyros:
On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative. Appl. Math. Comput. 218(23): 11488-11495 (2012) - [j68]Ioannis K. Argyros, Saïd Hilout:
On the semilocal convergence of damped Newton's method. Appl. Math. Comput. 219(5): 2808-2824 (2012) - [j67]Ioannis K. Argyros, Saïd Hilout:
New conditions for the convergence of Newton-like methods and applications. Appl. Math. Comput. 219(6): 3279-3289 (2012) - [j66]Ioannis K. Argyros, Saïd Hilout:
Weaker conditions for the convergence of Newton's method. J. Complex. 28(3): 364-387 (2012) - [j65]Ioannis K. Argyros, Saïd Hilout:
Majorizing sequences for iterative procedures in Banach spaces. J. Complex. 28(5-6): 562-581 (2012) - [j64]Ioannis K. Argyros, Saïd Hilout:
Improved local convergence of Newton's method under weak majorant condition. J. Comput. Appl. Math. 236(7): 1892-1902 (2012) - [j63]Ioannis K. Argyros, Saïd Hilout:
Majorizing sequences for iterative methods. J. Comput. Appl. Math. 236(7): 1947-1960 (2012) - [j62]Hongmin Ren, Ioannis K. Argyros:
Improved local analysis for a certain class of iterative methods with cubic convergence. Numer. Algorithms 59(4): 505-521 (2012) - [j61]Ioannis K. Argyros, Saïd Hilout:
Secant-type methods and nondiscrete induction. Numer. Algorithms 61(3): 397-412 (2012) - 2011
- [j60]Sanjay Kumar Khattri, Ioannis K. Argyros:
Sixth order derivative free family of iterative methods. Appl. Math. Comput. 217(12): 5500-5507 (2011) - [j59]Ioannis K. Argyros, Saïd Hilout:
Convergence of Directional Methods under mild differentiability and applications. Appl. Math. Comput. 217(21): 8731-8746 (2011) - [j58]Ioannis K. Argyros, Saïd Hilout:
Weak convergence conditions for Inexact Newton-type methods. Appl. Math. Comput. 218(6): 2800-2809 (2011) - [j57]Ioannis K. Argyros, Saïd Hilout:
Extending the applicability of Secant methods and nondiscrete induction. Appl. Math. Comput. 218(7): 3238-3246 (2011) - [j56]Yeol Je Cho, Ioannis K. Argyros, Saïd Hilout:
Extended sufficient semilocal convergence for the Secant method. Comput. Math. Appl. 62(2): 599-610 (2011) - [j55]Ioannis K. Argyros, Saïd Hilout:
A unifying theorem for Newton's method on spaces with a convergence structure. J. Complex. 27(1): 39-54 (2011) - [j54]Ioannis K. Argyros, Hongmin Ren:
Kantorovich-type semilocal convergence analysis for inexact Newton methods. J. Comput. Appl. Math. 235(9): 2993-3005 (2011) - [j53]Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout:
On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Comput. Appl. Math. 235(10): 3195-3206 (2011) - [j52]Ioannis K. Argyros:
A semilocal convergence analysis for directional Newton methods. Math. Comput. 80(273): 327-343 (2011) - [j51]Ioannis K. Argyros, Saïd Hilout:
On the solution of systems of equations with constant rank derivatives. Numer. Algorithms 57(2): 235-253 (2011) - [j50]Ioannis K. Argyros, Saïd Hilout:
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Numer. Algorithms 58(1): 23-52 (2011) - [j49]Hongmin Ren, Ioannis K. Argyros, Saïd Hilout:
A derivative free iterative method for solving least squares problems. Numer. Algorithms 58(4): 555-571 (2011) - 2010
- [j48]Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout:
On the midpoint method for solving equations. Appl. Math. Comput. 216(8): 2321-2332 (2010) - [j47]Hongmin Ren, Ioannis K. Argyros:
Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. Appl. Math. Comput. 217(2): 612-621 (2010) - [j46]Hongmin Ren, Ioannis K. Argyros:
Local convergence of a secant type method for solving least squares problems. Appl. Math. Comput. 217(8): 3816-3824 (2010) - [j45]Jinhai Chen, Ioannis K. Argyros:
Improved results on estimating and extending the radius of an attraction ball. Appl. Math. Lett. 23(4): 404-408 (2010) - [j44]Yeol Je Cho, Ioannis K. Argyros, Narin Petrot:
Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Comput. Math. Appl. 60(8): 2292-2301 (2010) - [j43]Ioannis K. Argyros, Saïd Hilout:
A unified approach for the convergence of certain numerical algorithms, using recurrent functions. Computing 90(3-4): 131-164 (2010) - [j42]Ioannis K. Argyros:
On the convergence region of Newton's method under Hölder continuity conditions. Int. J. Comput. Math. 87(2): 317-326 (2010) - [j41]Ioannis K. Argyros:
An improved convergence analysis for the Newton-Kantorovich method using recurrence relations. Int. J. Comput. Math. 87(3): 642-652 (2010) - [j40]Ioannis K. Argyros, Saïd Hilout:
On the convergence of Newton-type methods using recurrent functions. Int. J. Comput. Math. 87(14): 3273-3296 (2010) - [j39]Ioannis K. Argyros, Saïd Hilout:
Improved generalized differentiability conditions for Newton-like methods. J. Complex. 26(3): 316-333 (2010) - [j38]Ioannis K. Argyros, Saïd Hilout:
Inexact Newton-type methods. J. Complex. 26(6): 577-590 (2010) - [j37]Jinhai Chen, Ioannis K. Argyros, Ravi P. Agarwal:
Majorizing functions and two-point Newton-type methods. J. Comput. Appl. Math. 234(5): 1473-1484 (2010) - [j36]Ioannis K. Argyros, Saïd Hilout:
Extending the Newton-Kantorovich hypothesis for solving equations. J. Comput. Appl. Math. 234(10): 2993-3006 (2010) - [j35]Hongmin Ren, Ioannis K. Argyros:
On the local convergence of inexact Newton-type methods under residual control-type conditions. J. Comput. Appl. Math. 235(1): 218-228 (2010) - [j34]Ioannis K. Argyros:
On a class of secant-like methods for solving nonlinear equations. Numer. Algorithms 54(4): 485-501 (2010) - [j33]Ioannis K. Argyros, Saïd Hilout:
A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. Numer. Algorithms 55(4): 447-466 (2010) - [j32]Ioannis K. Argyros, Saïd Hilout:
A convergence analysis for directional two-step Newton methods. Numer. Algorithms 55(4): 503-528 (2010)
2000 – 2009
- 2009
- [j31]Hongmin Ren, Ioannis K. Argyros:
On convergence of the modified Newton's method under Hölder continuous Fréchet derivative. Appl. Math. Comput. 213(2): 440-448 (2009) - [j30]Ioannis K. Argyros:
On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two. Appl. Math. Comput. 215(4): 1553-1560 (2009) - [j29]Ioannis K. Argyros, Jinhai Chen:
On local convergence of a Newton-type method in Banach space. Int. J. Comput. Math. 86(8): 1366-1374 (2009) - [j28]Ioannis K. Argyros, Saïd Hilout:
On the weakening of the convergence of Newton's method using recurrent functions. J. Complex. 25(6): 530-543 (2009) - [j27]Ioannis K. Argyros, Hongmin Ren:
On the convergence of modified Newton methods for solving equations containing a non-differentiable term. J. Comput. Appl. Math. 231(2): 897-906 (2009) - [j26]Ioannis K. Argyros, Yeol Je Cho, Xiaolong Qin:
On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces. J. Comput. Appl. Math. 233(2): 208-216 (2009) - [j25]Ioannis K. Argyros, Hongmin Ren:
On an improved local convergence analysis for the Secant method. Numer. Algorithms 52(2): 257-271 (2009) - [j24]Ioannis K. Argyros:
On Ulm's method using divided differences of order one. Numer. Algorithms 52(3): 295-320 (2009) - [j23]Livinus Ugochukwu Uko, Ioannis K. Argyros:
Generalized equations, variational inequalities and a weak Kantorovich theorem. Numer. Algorithms 52(3): 321-333 (2009) - [j22]Ioannis K. Argyros, Saïd Hilout:
On the convergence of Newton-type methods under mild differentiability conditions. Numer. Algorithms 52(4): 701-726 (2009) - 2008
- [j21]Ioannis K. Argyros, Saïd Hilout:
Local convergence of Newton-like methods for generalized equations. Appl. Math. Comput. 197(2): 507-514 (2008) - [j20]Ioannis K. Argyros, Livinus Ugochukwu Uko:
On the convergence of the midpoint method. Numer. Algorithms 47(2): 157-167 (2008) - [j19]Ioannis K. Argyros, Saïd Hilout:
A Fréchet derivative-free cubically convergent method for set-valued maps. Numer. Algorithms 48(4): 361-371 (2008) - 2007
- [j18]Ioannis K. Argyros:
Improved convergence and complexity analysis of Newton's method for solving equations. Int. J. Comput. Math. 84(1): 67-73 (2007) - [j17]Ioannis K. Argyros:
On a non-smooth version of Newton's method based on Hölderian assumption. Int. J. Comput. Math. 84(12): 1747-1756 (2007) - 2005
- [j16]Ioannis K. Argyros:
On a two-point Newton-like method of convergent order two. Int. J. Comput. Math. 82(2): 219-233 (2005) - [j15]Ioannis K. Argyros:
A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points. Int. J. Comput. Math. 82(11): 1413-1428 (2005) - 2004
- [j14]Ioannis K. Argyros:
Improved convergence analysis for the Secant method based on a certain type of recurrence relations. Int. J. Comput. Math. 81(5): 629-637 (2004) - 2003
- [j13]Ioannis K. Argyros:
On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions. Int. J. Comput. Math. 80(6): 767-780 (2003) - 2001
- [j12]Ioannis K. Argyros:
On the radius of convergence of newton's method. Int. J. Comput. Math. 77(3): 389-400 (2001) - 2000
- [j11]Ioannis K. Argyros:
Forcing sequences and inexact Newton iterates in Banach space. Appl. Math. Lett. 13(1): 77-80 (2000)
1990 – 1999
- 1999
- [j10]Ioannis K. Argyros:
On the convergence of two-step methods generated by point-to-point operators. Appl. Math. Comput. 102(2-3): 165-176 (1999) - [j9]Ioannis K. Argyros:
On Newton's method under mild differentiability conditions and applications. Appl. Math. Comput. 102(2-3): 177-183 (1999) - [j8]Ioannis K. Argyros:
Convergence rates for inexact Newton-like methods at singular points and applications. Appl. Math. Comput. 102(2-3): 185-201 (1999) - [j7]Ioannis K. Argyros:
Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications. Appl. Math. Comput. 102(2-3): 203-222 (1999) - [j6]Ioannis K. Argyros:
Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces. Appl. Math. Comput. 102(2-3): 223-236 (1999) - [j5]Ioannis K. Argyros:
Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space. Computing 63(2): 131-144 (1999) - [j4]Ioannis K. Argyros:
Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space. Int. J. Comput. Math. 71(2): 235-246 (1999) - 1998
- [j3]Ioannis K. Argyros:
Sufficient conditions for constructing methods faster than Newton's. Appl. Math. Comput. 93(2-3): 169-181 (1998) - 1992
- [j2]Ioannis K. Argyros:
Improved error bounds for the modified secant method. Int. J. Comput. Math. 43(1-2): 99-109 (1992) - 1990
- [j1]Ioannis K. Argyros:
A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions. Computing 45(3): 265-268 (1990)
Coauthor Index
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