Works matching AU Argyros, Ioannis K.

Results: 302

EXTENDED NEWTON'S METHOD FOR SOLVING GENERALIZED EQUATIONS UNDER KANTOROVICH'S-TYPE WEAK CONDITIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2025, v. 58, p. 1, doi. 10.71352/ac.58.301224

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

EXTENDED CONVERGENCE OF A DERIVATIVE FREE FOURTH ORDER METHOD FOR EQUATIONS OR SYSTEMS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2024, v. 57, p. 321, doi. 10.71352/ac.57.321

By:

Argyros, Ioannis K.;
Jayaraman, Jayakumar;
John, Jinny Ann

Publication type:

Article

NEW ZERO-FINDING METHODS BASED ON DOUBLE INTERCEPT FORM OF A STRAIGHT LINE.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2024, v. 57, p. 297, doi. 10.71352/ac.57.297

By:

Anku;
Argyros, Ioannis K.;
Kanwar, Vinay;
Narang, Mona

Publication type:

Article

EXTENDED ZABREJKO THEORY OF THE NEWTON-KANTOROVICH ITERATION AND THE PTÁK-POTRA ERROR ESTIMATES.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2023, v. 55, p. 77, doi. 10.71352/ac.55.077

By:

Argyros, Ioannis K.;
Jayaraman, Jayakumar;
John, Jinny Ann;
Regmi, Samundra

Publication type:

Article

EXTENDED CONVERGENCE ANALYSIS OF OPTIMAL EIGHTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2022, v. 53, p. 109, doi. 10.71352/ac.53.109

By:

Argyros, Ioannis K.;
Sharma, Janak Raj;
Singh, Harmandeep

Publication type:

Article

EXTENDED LOCAL CONVERGENCE ANALYSIS OF A THREE-STEP METHOD WITH A PARAMETER OF CONVERGENCE ORDER SIX.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2021, v. 52, p. 45, doi. 10.71352/ac.52.045

By:

Argyros, Ioannis K.;
Argyros, Gus;
Argyros, Michael;
George, Santhosh

Publication type:

Article

EXTENDING THE APPLICABILITY OF ITERATIVE METHODS FREE OF DERIVATIVES BY MEANS OF MEMORY.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2020, v. 51, p. 289, doi. 10.71352/ac.51.289

By:

Argyros, Ioannis K.;
Shakhno, Stepan;
Yarmola, Halyna

Publication type:

Article

ON THE LOCAL CONVERGENCE AND COMPLEX GEOMETRY OF EIGHTH ORDER ITERATION FUNCTIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2019, v. 49, p. 19, doi. 10.71352/ac.49.019

By:

Argyros, Ioannis K.;
Sharma, Janak Raj;
Kumar, Sunil

Publication type:

Article

ON THE LOCAL CONVERGENCE OF WEIGHTED-NEWTON METHODS UNDER WEAK CONDITIONS IN BANACH SPACES.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2018, v. 47, p. 127, doi. 10.71352/ac.47.127

By:

Argyros, Ioannis K.;
Sharma, Janak Raj;
Kumar, Deepak

Publication type:

Article

IMPROVED CONVERGENCE CONDITIONS OF A LAVRENTIEV-TYPE METHOD FOR NONLINEAR ILL-POSED EQUATIONS BY USING RESTRICTED CONVERGENCE DOMAINS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2017, v. 46, p. 355, doi. 10.71352/ac.46.355

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

BALL CONVERGENCE OF AN EFFICIENT FIFTH ORDER ITERATIVE METHOD UNDER WEAK CONDITIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2017, v. 46, p. 341, doi. 10.71352/ac.46.341

By:

Argyros, Ioannis K.;
Parida, P. K.;
Salahuddin

Publication type:

Article

BALL CONVERGENCE OF AN ITERATIVE METHOD FOR NONLINEAR EQUATIONS BASED ON THE DECOMPOSITION TECHNIQUE UNDER WEAK CONDITIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2016, v. 45, p. 291, doi. 10.71352/ac.45.291

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

A CONVERGENCE ANALYSIS FOR A CERTAIN FAMILY OF EXTENDED ITERATIVE METHODS: PART II. APPLICATIONS TO FRACTIONAL CALCULUS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2015, v. 44, p. 143, doi. 10.71352/ac.44.143

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

A CONVERGENCE ANALYSIS FOR A CERTAIN FAMILY OF EXTENDED ITERATIVE METHODS: PART I. THEORY.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2015, v. 44, p. 133, doi. 10.71352/ac.44.133

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

BALL CONVERGENCE COMPARISON BETWEEN TWO SIXTH ORDER NEWTON-JARRATT COMPOSITION METHODS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2015, v. 44, p. 119, doi. 10.71352/ac.44.119

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

A faster King–Werner-type iteration and its convergence analysis.

Published in:

Applicable Analysis, 2020, v. 99, n. 14, p. 2526, doi. 10.1080/00036811.2019.1569228

By:

Sharma, Janak Raj;
Argyros, Ioannis K.;
Kumar, Sunil

Publication type:

Article

Local convergence for an eighth order method for solving equations and systems of equations.

Published in:

Nonlinear Engineering, 2019, v. 8, n. 1, p. 74, doi. 10.1515/nleng-2017-0105

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Weaker conditions for inexact mutitpoint Newton-like methods.

Published in:

Journal of Mathematical Chemistry, 2020, v. 58, n. 3, p. 706, doi. 10.1007/s10910-020-01101-w

By:

Argyros, Ioannis K.;
Magreñán, Á. Alberto;
Moreno, Daniel;
Orcos, Lara;
Sicilia, Juan Antonio

Publication type:

Article

Extended local convergence for some inexact methods with applications.

Published in:

Journal of Mathematical Chemistry, 2019, v. 57, n. 5, p. 1508, doi. 10.1007/s10910-019-01004-5

By:

Argyros, Ioannis K.;
Legaz, M. J.;
Magreñán, Á. A.;
Moreno, D.;
Sicilia, Juan Antonio

Publication type:

Article

Different methods for solving STEM problems.

Published in:

Journal of Mathematical Chemistry, 2019, v. 57, n. 5, p. 1268, doi. 10.1007/s10910-018-0950-1

By:

Argyros, Ioannis K.;
Magreñán, Á. A.;
Orcos, L.;
Sarría, Íñígo;
Sicilia, Juan Antonio

Publication type:

Article

Secant-like methods for solving nonlinear models with applications to chemistry.

Published in:

Journal of Mathematical Chemistry, 2018, v. 56, n. 7, p. 1935, doi. 10.1007/s10910-017-0824-y

By:

Magreñán, Á. Alberto;
Argyros, Ioannis K.;
Orcos, Lara;
Sicilia, Juan Antonio

Publication type:

Article

Improved semilocal convergence analysis in Banach space with applications to chemistry.

Published in:

Journal of Mathematical Chemistry, 2018, v. 56, n. 7, p. 1958, doi. 10.1007/s10910-017-0823-z

By:

Argyros, Ioannis K.;
Giménez, Elena;
Magreñán, Á. A.;
Sarría, Í.;
Sicilia, Juan Antonio

Publication type:

Article

PREFACE: SPECIAL ISSUE ON RECENT THEORETICAL AND NUMERICAL METHODS FOR SOLVING NONLINEAR EVOLUTION EQUATIONS WITH FRACTAL AND FRACTIONAL DERIVATIVES — PART II.

Published in:

2025

By:

JAFARI, HOSSEIN;
HAMMOUCH, ZAKIA;
ARGYROS, IOANNIS K.;
GASIMOV, YUSIF S.

Publication type:

Editorial

EDITORIAL: SPECIAL ISSUE ON RECENT THEORETICAL AND NUMERICAL METHODS FOR SOLVING NONLINEAR EVOLUTION EQUATIONS WITH FRACTAL AND FRACTIONAL DERIVATIVES.

Published in:

2023

By:

Jafari, Hossein;
Hammouch, Zakia;
Argyros, Ioannis K.

Publication type:

Editorial

On the Convergence of Broyden-Like Methods.

Published in:

Acta Mathematica Sinica, 2007, v. 23, n. 11, p. 2087, doi. 10.1007/s10114-007-0963-3

By:

Argyros, Ioannis K.

Publication type:

Article

An algorithm with feasible inexact projections for solving constrained generalized equations.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 4, p. 4637, doi. 10.1002/mma.10567

By:

Regmi, Samundra;
Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

An extended study of two multistep higher order convergent methods for solving nonlinear equations.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 3, p. 3907, doi. 10.1002/mma.10524

By:

Behl, Ramandeep;
Argyros, Ioannis K.;
Martinez De Mendivil, Iñigo Sarria

Publication type:

Article

Derivative free processes of high order for nondifferentiable equations in Banach spaces.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 18, p. 14610, doi. 10.1002/mma.10292

By:

Villalba, Eva G.;
Argyros, Ioannis K.;
Hernández‐Verón, M. A.;
Martínez, Eulalia

Publication type:

Article

From Halley to Secant: Redefining root finding with memory-based methods including convergence and stability.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 7, p. 5509, doi. 10.1002/mma.9876

By:

Qureshi, Sania;
Soomro, Amanullah;
Naseem, Amir;
Gdawiec, Krzysztof;
Argyros, Ioannis K.;
Alshaery, Aisha A.;
Secer, Aydin

Publication type:

Article

Extended semilocal convergence analysis of a two-step Newton method under L-average conditions.

Published in:

Nonlinear Studies, 2022, v. 29, p. 1257

By:

Argyros, Christopher;
Argyros, Michael;
Argyros, Ioannis K.;
Shakhno, Stepan;
Yarmola, Halyna

Publication type:

Article

On the local convergence and comparison between two novel eighth convergence order schemes for solving nonlinear equations.

Published in:

Nonlinear Studies, 2021, v. 28, n. 4, p. 1107

By:

Regmi, Samundra;
Argyros, Ioannis K.;
George, Santhosh;
Argyros, Christopher I.

Publication type:

Article

A study on the local convergence of a Steffensen-King-type iterative method.

Published in:

Nonlinear Studies, 2017, v. 24, n. 2, p. 285

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Iterative regularization methods for ill-posed operator equations in Hilbert scales.

Published in:

Nonlinear Studies, 2017, v. 24, n. 2, p. 257

By:

Argyros, Ioannis K.;
George, Santhosh;
Jidesh, P.

Publication type:

Article

Ball convergence for a novel sixth order iterative method under hypothesis only on the first derivative.

Published in:

Nonlinear Studies, 2016, v. 23, n. 2, p. 263

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Ball convergence theorems for unified three step Newton-like methods of high convergence order.

Published in:

Nonlinear Studies, 2015, v. 22, n. 2, p. 327

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Relaxed secant-type methods.

Published in:

Nonlinear Studies, 2014, v. 21, n. 3, p. 485

By:

Argyros, Ioannis K.;
Magreçán, Á. Alberto

Publication type:

Article

Algorithms of predictor-corrector type with convergence and stability analysis for solving nonlinear systems.

Published in:

AIMS Mathematics, 2024, v. 9, n. 11, p. 1, doi. 10.3934/math.20241538

By:

Almutairi, Dalal Khalid;
Argyros, Ioannis K.;
Gdawiec, Krzysztof;
Qureshi, Sania;
Soomro, Amanullah;
Jamali, Khalid H.;
Alquran, Marwan;
Tassaddiq, Asifa

Publication type:

Article

Ball comparison between frozen Potra and Schmidt–Schwetlick schemes with dynamical analysis.

Published in:

Computational & Mathematical Methods, 2021, v. 3, n. 6, p. 1, doi. 10.1002/cmm4.1186

By:

Argyros, Michael;
Argyros, Ioannis K.;
González, Daniel;
Magreñán, Ángel Alberto;
Moysi, Alejandro;
Sarría, Íñigo

Publication type:

Article

On the local convergence of efficient Newton‐type solvers with frozen derivatives for nonlinear equations.

Published in:

Computational & Mathematical Methods, 2021, v. 3, n. 6, p. 1, doi. 10.1002/cmm4.1184

By:

Behl, Ramandeep;
Argyros, Ioannis K.;
Argyros, Christopher I.

Publication type:

Article

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

Published in:

Computational & Mathematical Methods, 2021, v. 3, n. 5, p. 1, doi. 10.1002/cmm4.1179

By:

Argyros, Ioannis K.;
Argyros, Michael;
Ceballos, Johan;
Ceballos, Mariana;
González, Daniel

Publication type:

Article

EXTENDED KUNG-TRAUB-TYPE METHOD FOR SOLVING EQUATIONS.

Published in:

TWMS Journal of Pure & Applied Mathematics, 2021, v. 12, n. 2, p. 193

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

On the complexity of extending the convergence domain of Newton's method under the weak majorant condition.

Published in:

Canadian Mathematical Bulletin, 2024, v. 67, n. 3, p. 781, doi. 10.4153/S000843952400016X

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

LOCAL CONVERGENCE OF SOME HIGH ORDER ITERATIVE METHODS BASED ON THE DECOMPOSITION TECHNIQUE USING ONLY THE FIRST DERIVATIVE.

Published in:

Surveys in Mathematics & its Applications, 2017, v. 12, p. 51

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

ENCLOSING ROOTS OF POLYNOMIAL EQUATIONS AND THEIR APPLICATIONS TO ITERATIVE PROCESSES.

Published in:

Surveys in Mathematics & its Applications, 2009, v. 4, p. 119

By:

Argyros, Ioannis K.;
Hilout, Saïd

Publication type:

Article

Iterated convergence on Banach space valued functions of abstract g-fractional calculus.

Published in:

European Physical Journal: Special Topics, 2017, v. 226, n. 16-18, p. 3667, doi. 10.1140/epjst/e2018-00023-5

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

A robust implicit Jungck iterative scheme: stability, data dependency, and applications to nonlinear integral equations.

Published in:

Boundary Value Problems, 2025, v. 2025, n. 1, p. 1, doi. 10.1186/s13661-025-02080-0

By:

Kumar, Kapil;
Alamri, Hind;
Kumar, Vivek;
Gürsoy, Faik;
Argyros, Ioannis K.;
Hussain, Nawab

Publication type:

Article

On obtaining order of convergence of Jarratt-like method without using Taylor series expansion.

Published in:

Computational & Applied Mathematics, 2024, v. 43, n. 4, p. 1, doi. 10.1007/s40314-024-02767-7

By:

George, Santhosh;
Kunnarath, Ajil;
Sadananda, Ramya;
Jidesh, P;
Argyros, Ioannis K.

Publication type:

Article

Extended Kantorovich theory for solving nonlinear equations with applications.

Published in:

Computational & Applied Mathematics, 2023, v. 42, n. 2, p. 1, doi. 10.1007/s40314-023-02203-2

By:

Regmi, Samundra;
Argyros, Ioannis K.;
George, Santhosh;
Argyros, Michael

Publication type:

Article

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

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3

By:

Rehman, Habib ur;
Kumam, Poom;
Argyros, Ioannis K.;
Alreshidi, Nasser Aedh

Publication type:

Article

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

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3

By:

Rehman, Habib ur;
Kumam, Poom;
Argyros, Ioannis K.;
Alreshidi, Nasser Aedh

Publication type:

Article