S. George

发表

Unified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space

I. Argyros, S. George, 2019, Indian Journal of Pure and Applied Mathematics.

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

I. Argyros, S. George, 2019, Nonlinear Engineering.

Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions

I. Argyros, S. George, 2016 .

Local convergence of two competing third order methods in Banach space

I. Argyros, S. George, 2014 .

Local convergence of modified Halley-like methods

I. Argyros, S. George, 2015 .

A unified local convergence for Chebyshev-Halley-type methods in Banach space under weak conditions

I. Argyros, S. George, 2015 .

Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions

I. Argyros, S. George, 2017 .

ON THE CONVERGENCE OF INEXACT GAUSS-NEWTON METHOD FOR SOLVING SINGULAR EQUATIONS

I. Argyros, S. George, 2016 .

Gauss curvature-driven image inpainting for image reconstruction

P. Jidesh, S. George, P. Jidesh, 2014 .

Fourth-order Gauss Curvature Driven Diffusion for Image Denoising

P. Jidesh, S. George, 2012 .

Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates

S. George, G. Reddy, K. Kanagaraj, 2019, J. Appl. Math. Comput..

Local convergence of a fifth convergence order method in Banach space

I. Argyros, S. George, 2017 .

Local Convergence for a Family of Sixth Order Chebyshev-Halley-Type Methods in Banach Space Under Weak Conditions

I. Argyros, S. George, 2018 .

Ball convergence theorem for a Steffensen-type third-order method

I. Argyros, S. George, 2017 .

Local convergence of some high order iterative methods based on the decomposition technique using only the first derivative

I. Argyros, S. George, 2017 .

Local convergence of deformed Jarratt-type methods in Banach space without inverses

I. Argyros, S. George, 2016 .

XX , No . Y , 20 ZZ , ? ?? ? LOCAL CONVERGENCE OF MODIFIED HALLEY-LIKE METHODS WITH LESS COMPUTATION OF INVERSION

I. Argyros, S. George, 2015 .

EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES

I. Argyros, S. George, Á. Magreñán, 2015 .

Ball convergence theorems for eighth-order variants of Newton’s method under weak conditions

I. Argyros, S. George, 2015 .

Ball comparison between two optimal eight-order methods under weak conditions

I. Argyros, S. George, 2015 .

47-58 LOCAL CONVERGENCE OF MODIFIED HALLEY-LIKE METHODS WITH LESS COMPUTATION OF INVERSION

I. Argyros, S. George, 2015 .

BALL CONVERGENCE THEOREMS FOR KING’S FOURTH-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS

I. Argyros, S. George, 2015 .

Extending the Applicability of a Seventh Order Method Without Inverses of Derivatives Under Weak Conditions

I. Argyros, S. George, 2019, International Journal of Applied and Computational Mathematics.

Unified Semi-Local Convergence for k—Step Iterative Methods with Flexible and Frozen Linear Operator

I. Argyros, S. George, 2018, Mathematics.

Ball comparison between Jarratt’s and other fourth order method for solving equations

I. Argyros, S. George, 2018, Cubo (Temuco).

Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications

I. Argyros, S. George, 2017 .

Extending the Applicability of a Newton-Kurchatov-Type Method for Solving Non-Differentiable Equations in Banach Spaces

I. Argyros, S. George, H. Ren, 2019, Communications in Advanced Mathematical Sciences.

Local comparison of two sixth order solvers using only the first derivative

I. Argyros, S. George, 2019 .

Curvature driven diffusion coupled with shock for image enhancement/reconstruction

P. Jidesh, S. George, 2011 .

Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems

S. George, V. Vasin, 2013 .

An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales

M. T. Nair, S. George, M. Nair, 2003 .

Local comparison of two sixth order solvers in Banach space under weak conditions

I. Argyros, S. George, 2019 .

Newton Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems in Hilbert Scales

M. E. Shobha, S. George, M. Shobha, 2014 .

Enlarging the Radius of Convergence for the Halley Method to Solve Equations with Solutions of Multiplicity under Weak Conditions

I. Argyros, S. George, 2018 .

Unified Ball Convergence of Inexact Methods For Finding Zeros with Multiplicity 1

I. Argyros, S. George, 2022 .

ON THE SEMILOCAL CONVERGENCE OF MODIFIED NEWTON-TIKHONOV REGULARIZATION METHOD FOR NONLINEAR ILL-POSED PROBLEMS

I. Argyros, S. George, 2014 .

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

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

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV

I. Argyros, S. George, 2020 .

On the Convergence of Stirling’s Method for Fixed Points Under Not Necessarily Contractive Hypotheses

I. Argyros, S. George, Stefan Muruster, 2017 .

Ball Comparison Between Four Fourth Convergence Order Methods Under the Same Set of Hypotheses for Solving Equations

I. Argyros, S. George, 2021 .

Iterative Methods for Nonlinear Ill-Posed Problems

S. George, A. Elmahdy, 2012 .

Adaptive Multi-model Biometric Fusion for Digital Watermarking

P. Jidesh, S. George, 2011 .

ON THE SEMILOCAL CONVERGENCE OF NEWTON'S METHOD FOR SECTIONS ON RIEMANNIAN MANIFOLDS

I. Argyros, S. George, 2014 .

Extending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domains

I. Argyros, Á. Magreñán, R. Younis, 2017 .

Finite dimensional realization of a Tikhonov gradient type-method under weak conditions

Vorkady S. Shubha, P. Jidesh, S. George, 2016 .

Restoration and Enhancement of Aerial and Synthetic Aperture Radar Images Using Generative Deep Image Prior Architecture

P. Jidesh, S. George, Architha Shastry, 2022, PFG – Journal of Photogrammetry, Remote Sensing and Geoinformation Science.

CHEBYSHEV-KURCHATOV-TYPE METHODS FOR SOLVING EQUATIONS WITH NON-DIFFERENTIABLE OPERATORS

I. Argyros, S. George, 2013 .

Local convergence of deformed Euler–Halley-type methods in Banach space under weak conditions

I. Argyros, S. George, 2017 .

EXPANDING THE APPLICABILITY OF THE SHADOWING LEMMA FOR OPERATORS WITH CHAOTIC BEHAVIOR USING RESTRICTED CONVERGENCE DOMAINS

I. Argyros, S. George, 2016 .

On Newton's method for subanalytic equations

I. Argyros, S. George, 2017, Journal of Numerical Analysis and Approximation Theory.

Developments of Newton’s Method under Hölder Conditions

I. Argyros, S. George, C. Argyros, 2022, European Journal of Mathematical Analysis.

Extending the Traub Theory for Solving Nonlinear Equations

S. George, C. Argyros, Samundra Regmi, 2022, Contemporary Mathematics.

Extended Newton(cid:146)s Method With Applications To Interior Point Algorithms Of Mathematical Programming (cid:3)

Christopher I. Argyros, I. Argyros, S. George, 2022 .

On Newton’s Midpoint-Type Iterative Scheme’s Convergence

P. Jidesh, S. George, R. Krishnendu, 2022, International Journal of Applied and Computational Mathematics.

On the semi-local convergence of the Homeier method in Banach space for solving equations

Christopher I. Argyros, I. Argyros, S. George, 2022, Computational Mathematics and Computer Modeling with Applications (CMCMA).

Ball comparison between three fourth convergence order schemes for nonlinear equations

I. Argyros, S. George, C. Argyros, 2022, Computational Mathematics and Computer Modeling with Applications (CMCMA).

Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence

I. Argyros, S. George, 2021, Journal of Numerical Analysis and Approximation Theory.

Extended Local Convergence for High Order Schemes Under ω-Continuity Conditions

I. Argyros, S. George, M. Argyros, 2020 .

Ball convergence of a novel bi-parametric iterative scheme for solving equations

S. George, K. Ioannis, 2020 .

Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions

Y. Cho, I. Argyros, Yi-bin Xiao, 2020 .

Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions

Y. Cho, I. Argyros, S. George, 2019, Acta Mathematica Scientia.

Ball comparison for three optimal eight order methods under weak conditions

I. Argyros, S. George, 2019, Studia Universitatis Babes-Bolyai Matematica.

Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains

I. Argyros, S. George, 2019, Annales Mathematicae Silesianae.

Seventh Convergence Order Solvers Free Of Derivatives For Solving Equations In Banach Space: Seventh convergence order solvers free of derivatives

I. Argyros, S. George, 2019 .

Local convergence of a novel eighth order method under hypotheses only on the first derivative

I. Argyros, S. George, S. Erappa, 2019 .

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

I. Argyros, S. George, S. Erappa, 2019, Annals of West University of Timisoara - Mathematics and Computer Science.

Local convergence of an at least sixth-order method in Banach spaces

I. Argyros, S. Khattri, S. George, 2019, Journal of Fixed Point Theory and Applications.

Local convergence of an at least sixth-order method in Banach spaces

I. K. Argyros, S. Khattri, S. George, 2019, Journal of Fixed Point Theory and Applications.

Local Convergence For A Quadrature Based Third-Order Method Using Only The First Derivative ∗

I. Argyros, S. George, 2019 .

Local convergence analysis of Jarratt-type schemes for solving equations

I. Argyros, S. George, 2019, Applied Set-Valued Analysis and Optimization.

On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods

I. Argyros, S. George, 2018 .

Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions

I. Argyros, S. George, 2018 .

Expanding the Applicability of Generalized High Convergence Order Methods for Solving Equations

I. Argyros, S. George, 2018 .

Local convergence for an almost sixth order method for solving equations under weak conditions

I. Argyros, S. George, 2018 .

Ball convergence for an eighth order efficient method under weak conditions in Banach spaces

I. Argyros, S. George, S. Erappa, 2017 .

Local Convergence for a Frozen Family of Steffensen-Like Methods under Weak Conditions

I. Argyros, S. George, 2017 .

Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative

I. Argyros, S. George, 2017 .

Ball Convergence for Second Derivative Free Methods in Banach Space

I. Argyros, P. Jidesh, S. George, 2017 .

On the local convergence of Newton-like methods with fourth and fifth orderof convergence under hypotheses only on the first Fréchet derivative

I. Argyros, P. Jidesh, S. George, 2017 .

IMPROVED CONVERGENCE ANALYSIS FOR THE KURCHATOV METHOD

I. Argyros, S. George, 2017 .

Ball Convergence for an Inverse Free Jarratt-Type Method Under Hölder Conditions

I. Argyros, S. George, 2017 .

Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

I. Argyros, S. George, 2016 .

Local Convergence for an Efficient Eighth Order Iterative Method with a Parameter for Solving Equations Under Weak Conditions

I. Argyros, S. George, 2016 .

Local convergence for a derivative free method of order three under weak conditions

I. Argyros, S. George, 2016 .

LOCAL CONVERGENCE OF SOME FIFTH AND SIXTH ORDER ITERATIVE METHODS

I. Argyros, S. George, 2016 .

Extended Local Analysis of Inexact Gauss-Newton-like Method for Least Square Problems using Restricted Convergence Domains

I. Argyros, S. George, 2016 .

Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions

I. Argyros, S. George, 2016 .

Ball convergence of a novel Newton-Traub composition for solving equations

I. Argyros, S. George, 2016 .

Local convergence for a family of iterative methods based on decomposition techniques

I. Argyros, S. George, S. Erappa, 2016 .

LOCAL CONVERGENCE FOR A FAMILY OF CUBICALLY CONVERGENT METHODS IN BANACH SPACE

I. Argyros, S. George, 2016 .

BALL CONVERGENCE FOR A NINTH ORDER NEWTON-TYPE METHOD FROM QUADRATURE AND A DOMIAN FORMULAE IN A BANACH SPACE

I. Argyros, S. George, 2015 .

Ball convergence for Traub-Steffensen like methods in Banach space

I. Argyros, S. George, 2015 .

On a sixth-order Jarratt-type method in Banach spaces

I. Argyros, S. George, 2015 .

Local convergence for some high convergence order Newton-like methods with frozen derivatives

I. Argyros, S. George, 2015 .

THE CONVERGENCE BALL OF INEXACT NEWTON-LIKE METHOD IN BANACH SPACE UNDER WEAK LIPSHITZ CONDITION

I. Argyros, S. George, 2015 .

BALL CONVERGENCE FOR VARIANTS OF JARRATT'S METHOD

I. Argyros, S. George, 2015 .

AN EXTENSION OF A THEOREM BY B.T. POLYAK ON GRADIENT-TYPE METHODS

I. Argyros, S. George, 2013 .

EXPANDING THE APPLICABILITY OF THE GAUSS-NEWTON METHOD FOR CONVEX OPTIMIZATION UNDER RESTRICTED CONVERGENCE DOMAINS AND MAJORANT CONDITIONS

I. Argyros, S. George, 2017 .

Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates

S. George, G. Reddy, K. Kanagaraj, 2019, Journal of Applied Mathematics and Computing.

Extended Semi-Local Convergence of Newton's Method using the Center Lipschitz Condition and the Restricted Convergence Domain

I. K. Argyros, S. George, 2019, Fundamental Journal of Mathematics and Applications.

On a generalized arcangeli's method for tikhonov regularization with inexact data

Santhosh George, M. Thamban Nair, M. T. Nair, 1998 .

Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates

Santhosh George, M. T. Nair, S. George, 1994 .

A class of discrepancy principles for the simplified regularization of ill-posed problems

M. T. Nair, S. George, M. Nair, 1994, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

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

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

Newton-Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems

Santhosh George, S. George, 2013 .

A time-dependent switching anisotropic diffusion model for denoising and deblurring images

P. Jidesh, Santhosh George, P. Jidesh, 2012 .

Steganalysis: Using the blind deconvolution to retrieve the hidden data

P. Jidesh, Santhosh George, P. Jidesh, 2011, 2011 3rd International Conference on Electronics Computer Technology.

Derivative Free Iterative Scheme for Monotone Nonlinear Ill-posed Hammerstein-Type Equations

S. George, S. Erappa, 2020 .

Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems

Y. Cho, I. Argyros, Yi-bin Xiao, 2019, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

Reconstruction of Signals by Standard Tikhonov Method

P. Jidesh, Santhosh George, P. Jidesh, 2011 .

On convergence of regularized modified Newton's method for nonlinear ill-posed problems

Santhosh George, S. George, 2010 .

An iterative regularization method for ill-posed Hammerstein type operator equation

S. George, M. Kunhanandan, 2009 .

Newton–Tikhonov regularization of ill-posed Hammerstein operator equation

S. George, 2006 .

Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations

Santhosh George, M. Thamban Nair, M. T. Nair, 2004, Int. J. Math. Math. Sci..

Error bounds and parameter choice strategies for simplified regularization in Hilbert scales

Santhosh George, S. George, M. Thamban nair, 1997 .

EXPANDING THE APPLICABILITY OF A NEWTON-LAVRENTIEV REGULARIZATION METHOD FOR ILL-POSED PROBLEMS

I. Argyros, S. George, 2014 .

Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales

Y. Cho, P. Jidesh, S. George, 2022, The Journal of Analysis.

An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems

Vladmir Vasin, Santhosh George, S. George, 2014, Appl. Math. Comput..

Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales

Santhosh George, Suresan Pareth, M. Kunhanandan, 2013, Appl. Math. Comput..

An a posteriori parameter choice for simplified regularization of ill-posed problems

S. George, M. Nair, 1993 .

An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method

I. Argyros, P. Jidesh, S. George, 2022, Journal of Applied Mathematics and Computing.

A regularized Dynamical System Method for nonlinear Ill-posed Hammerstein type operator equations

M. E. Shobha, S. George, 2011 .

A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations

Santhosh George, M. Thamban Nair, S. George, 2008, J. Complex..

Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation

S. George, S. George, 2006 .

Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization

Y. Cho, I. Argyros, S. George, 2020 .

Fourth-order variational model with local-constraints for denoising images with textures

Jidesh Pacheeripadikkal, Santhosh George, S. George, 2011, Int. J. Comput. Vis. Robotics.

Extended Kung–Traub Methods for Solving Equations with Applications

I. Argyros, S. George, Á. Magreñán, 2021, Mathematics.

Kantorovich-Like Convergence Theorems for Newton’s Method Using Restricted Convergence Domains

I. Argyros, S. George, 2019, Numerical Functional Analysis and Optimization.

Weak Semilocal Convergence Conditions for a Two-Step Newton Method in Banach Space

I. Argyros, S. George, 2018 .

On the Convergence of Stirling’s Method for Fixed Points Under Not Necessarily Contractive Hypotheses

I. Argyros, S. George, Stefan Muruster, 2017, International Journal of Applied and Computational Mathematics.

Inexact Newton’s Method to Nonlinear Functions with Values in a Cone Using Restricted Convergence Domains

I. Argyros, S. George, S. Erappa, 2017, International Journal of Applied and Computational Mathematics.

LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS

Y. Cho, I. Argyros, S. George, 2016 .

Ball comparison between two optimal eight-order methods under weak conditions

I. Argyros, S. George, 2015, SeMA Journal.

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

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

Ball Convergence for Steffensen-type Fourth-order Methods

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

On the complexity of extending the convergence region for Traub's method

Ioannis K. Argyros, Santhosh George, I. Argyros, 2020, J. Complex..

Local convergence of deformed Halley method in Banach space under Holder continuity conditions

I. Argyros, S. George, 2016 .

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

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

ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS

Y. Cho, I. Argyros, S. George, 2014 .

Local convergence analysis of two iterative methods

I. Argyros, S. George, K. Kanagaraj, 2022, The Journal of Analysis.

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

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

Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

P. Jidesh, S. George, I. K. Argyros, 2021, Mediterranean Journal of Mathematics.

Ball Comparison Between Four Fourth Convergence Order Methods Under the Same Set of Hypotheses for Solving Equations

I. Argyros, S. George, 2021, International Journal of Applied and Computational Mathematics.

Direct Comparison between Two Third Convergence Order Schemes for Solving Equations

I. Argyros, S. George, Samundra Regmi, 2020, Symmetry.

Local Comparison between Two Ninth Convergence Order Algorithms for Equations

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

Inexact Newton’s Method to Nonlinear Functions with Values in a Cone Using Restricted Convergence Domains

I. Argyros, S. George, S. Erappa, 2017 .

An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations

I. Argyros, S. George, C. Argyros, 2022, Advances in the Theory of Nonlinear Analysis and its Application.

Ball convergence for an eighth order efficient method under weak conditions in Banach spaces

I. Argyros, S. George, S. Erappa, 2016, SeMA Journal.

A Unified Local Convergence for Jarratt-type Methods in Banach Space under Weak Conditions

I. Argyros, S. George, 2015 .

Local convergence for deformed Chebyshev-type method in Banach space under weak conditions

I. Argyros, S. George, 2015 .

Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions

I. Argyros, S. George, M. Argyros, 2020 .

Convergence analysis for single point Newton-type iterative schemes

I. Argyros, S. George, 2019, J. Appl. Math. Comput..

Convergence analysis for single point Newton-type iterative schemes

I. Argyros, S. George, 2019, Journal of Applied Mathematics and Computing.

Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations

I. Argyros, S. George, 2019 .

Local comparison between two-step methods under the same conditions

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

Extending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domains

I. Argyros, R. Younis, S. George, 2017, International Journal of Applied and Computational Mathematics.

On the Order of Convergence of the Noor–Waseem Method

I. Argyros, S. George, Jidesh Padikkal, 2022, Mathematics.

On the Semi-Local Convergence of a Traub-Type Method for Solving Equations

Christopher I. Argyros, I. Argyros, S. George, 2022, Foundations.

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

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

Local convergence for a family of sixth order methods with parameters

Christopher I. Argyros, I. Argyros, S. George, 2021, Open Journal of Mathematical Sciences.

Ball Convergence of Multipoint Methods for Non-linear Systems

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

On an iterative method without inverses of derivatives for solving equations

I. Argyros, S. George, 2020 .

Unified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space

I. Argyros, S. George, 2019, Indian Journal of Pure and Applied Mathematics.

On a Two-Step Kurchatov-Type Method in Banach Space

I. Argyros, S. George, 2019, Mediterranean Journal of Mathematics.

On a Two-Step Kurchatov-Type Method in Banach Space

I. Argyros, S. George, 2019, Mediterranean Journal of Mathematics.

Local Convergence Analysis of an Efficient Fourth Order Weighted-Newton Method under Weak Conditions

I. Argyros, S. George, 2018, Annals of West University of Timisoara - Mathematics and Computer Science.

Local convergence for a Chebyshev-type method in Banach space free of derivatives

I. Argyros, S. George, 2018 .

Enhancing the practicality of Newton–Cotes iterative method

I. Argyros, S. George, Jidesh Padikkal, 2023, Journal of Applied Mathematics and Computing.

On the convergence of open Newton’s method

I. Argyros, S. George, Jidesh Padikkal, 2023, The Journal of Analysis.

Order of Convergence and Dynamics of Newton–Gauss-Type Methods

I. Argyros, S. George, Jidesh Padikkal, 2023, Fractal and Fractional.

Local Convergence of Traub’s Method and Its Extensions

I. Argyros, S. George, Jidesh Padikkal, 2023, Fractal and Fractional.

On the convergence of a novel seventh convergence order schemes for solving equations

Christopher I. Argyros, I. Argyros, S. George, 2022, The Journal of Analysis.

Order of Convergence, Extensions of Newton–Simpson Method for Solving Nonlinear Equations and Their Dynamics

I. Argyros, S. George, Jidesh Padikkal, 2023, Fractal and Fractional.

Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions

I. Argyros, S. George, 2017, RACSAM.

Local convergence for some high convergence order Newton-like methods with frozen derivatives

I. Argyros, S. George, 2015, SeMA Journal.

BALL CONVERGENCE FOR A COMPUTATIONALLY EFFICIENT FIFTH-ORDER METHOD FOR SOLVING EQUATIONS IN BANACH SPACE UNDER WEAK CONDITIONS

I. Argyros, S. George, 2016 .

On the complexity of convergence for high order iterative methods

I. Argyros, S. George, Christoper Argyros, 2022, J. Complex..

Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions

I. Argyros, S. George, S. Erappa, 2020, Rendiconti del Circolo Matematico di Palermo Series 2.

Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions

I. Argyros, S. George, S. Erappa, 2019, Rendiconti del Circolo Matematico di Palermo Series 2.

ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES

M. E. Shobha, S. George, Suma P B, 2022, Results in nonlinear analysis.

Secant-type iteration for nonlinear ill-posed equations in Banach space

I. Argyros, S. George, C. Sreedeep, 2022, Journal of Inverse and Ill-posed Problems.

Newton–Kantorovich regularization method for nonlinear ill-posed equations involving $$m-$$m-accretive operators in Banach spaces

I. Argyros, S. George, C. Sreedeep, 2019, Rendiconti del Circolo Matematico di Palermo Series 2.

Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations

Vorkady S. Shubha, P. Jidesh, S. George, 2019, J. Appl. Math. Comput..

Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations

Vorkady S. Shubha, P. Jidesh, S. George, 2019, Journal of Applied Mathematics and Computing.

Extended Newton-type iteration for nonlinear ill-posed equations in Banach space

I. Argyros, S. George, C. Sreedeep, 2018, J. Appl. Math. Comput..

Extended Newton-type iteration for nonlinear ill-posed equations in Banach space

I. Argyros, S. George, C. Sreedeep, 2018, Journal of Applied Mathematics and Computing.

A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations

Vorkady S. Shubha, S. George, Jidesh Pacheeripadikkal, 2015, Numerical Algorithms.

Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

M. E. Shobha, S. George, 2014 .

An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization

S. George, Suresan Pareth, 2013 .

Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

M. E. Shobha, S. George, 2013, Journal of Applied Mathematics and Computation.

Finite Dimensional Realization of a Guass-Newton Method for Ill-Posed Hammerstein Type Operator Equations

M. E. Shobha, S. George, 2012 .

On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations

M. E. Shobha, S. George, 2013 .

An Application of Newton Type Iterative Method for Lavrentiev Regularization for Ill-Posed Equations : Finite Dimensional Realization

S. George, Suresan Pareth, 2012 .

Iterative regularization methods for nonlinear ill-posed operator equations with m-accretive mappings in banach spaces

I. Argyros, S. George, 2015 .

A derivative-free iterative method for nonlinear ill-posed equations with monotone operators

S. George, M. Nair, 2017 .

An Iteratively Regularized Projection Method with Quadratic Convergence for Nonlinear Ill-posed Problems

S. George, A. Elmahdy, 2010 .

An Iteratively Regularized Projection Method for Nonlinear Ill-posed Problems

S. George, A. Elmahdy, 2010 .

Lavrentiev's regularization method for nonlinear ill-posed equations in Banach spaces

S. George, C. Sreedeep, 2018 .

Two-Step Newton-Tikhonov Method for Hammerstein-Type Equations: Finite-Dimensional Realization

M. E. Shobha, S. George, 2012 .

DYNAMICAL SYSTEM METHOD FOR ILL-POSED HAMMERSTEIN TYPE OPERATOR EQUATIONS WITH MONOTONE OPERATORS

M. E. Shobha, S. George, 2012 .

Cubic convergence order yielding iterative regularization methods for ill-posed Hammerstein type operator equations

I. Argyros, S. George, Shobha Monnanda Erappa, 2016 .

A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations

Jidesh Pacheeripadikkal, Santhosh George, Vorkady S. Shubha, 2015, Appl. Math. Comput..

Projection Scheme for Newton-Type Iterative Method for Lavrentiev Regularization

S. George, Suresan Pareth, 2012 .

Expanding the applicability of Lavrentiev regularization methods for ill-posed problems

Y. Cho, I. Argyros, S. George, 2013 .

A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations

I. Argyros, S. George, Jidesh Padikkal, 2022, Mathematics.

A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations

Santhosh George, Atef Ibrahim Elmahdy, S. George, 2012, Comput. Methods Appl. Math..

Extending the solvability of equations using secant-type methods in Banach space

I. Argyros, S. George, 2021, Journal of Numerical Analysis and Approximation Theory.

On the convergence of Newton-like methods using restricted domains

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

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

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

Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle

P. Jidesh, S. George, R. Krishnendu, 2023, Rendiconti del Circolo Matematico di Palermo Series 2.

TECHNICAL NOTE Parameter Choice by Discrepancy Principles for HI-Posed Problems Leading to Optimal Convergence Rates I

S. George, M. Nair, 1994 .

Extended Kantorovich theory for solving nonlinear equations with applications

I. Argyros, S. George, M. Argyros, 2023, Computational and Applied Mathematics.

Updated and Weaker Convergence Criteria of Newton Iterates for Equations

I. Argyros, S. George, M. Argyros, 2022, European Journal of Mathematical Analysis.

A Comparison Study of the Classical and Modern Results of Semi-Local Convergence of Newton-Kantorovich Iterations

Christopher I. Argyros, I. Argyros, S. George, 2022, Mathematics.

On the complexity of choosing majorizing sequences for iterative procedures

I. Argyros, S. George, 2018, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

On the complexity of choosing majorizing sequences for iterative procedures

I. Argyros, S. George, 2018, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

Extending the radius of convergence for a class of Euler-Halley type methods

I. Argyros, S. George, 2019, Journal of Numerical Analysis and Approximation Theory.

Convergence rate results for steepest descent type method for nonlinear ill-posed equations

M. Sabari, Santhosh George, S. George, 2017, Appl. Math. Comput..

Fractional Tikhonov regularization method in Hilbert scales

P. Jidesh, Santhosh George, Chitra Mekoth, 2021, Appl. Math. Comput..