Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations. - Santhosh George; M. Thamban Nair (Int. J. Math. Math. Sci., 2004)

A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations. - Santhosh George; M. Thamban Nair (J. Complex., 2008)

Fourth-order variational model with local-constraints for denoising images with textures. - Jidesh Pacheeripadikkal; Santhosh George (Int. J. Comput. Vis. Robotics, 2011)

Shock coupled fourth-order diffusion for image enhancement. - Jidesh Pacheeripadikkal; Santhosh George (Comput. Electr. Eng., 2012)

A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations. - Santhosh George; Atef Ibrahim Elmahdy (Comput. Methods Appl. Math., 2012)

Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2013)

Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales. - Santhosh George; Suresan Pareth; M. Kunhanandan (Appl. Math. Comput., 2013)

An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems. - Vladmir Vasin; Santhosh George (Appl. Math. Comput., 2014)

Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. - Ioannis K. Argyros; Santhosh George; Jidesh Pacheeripadikkal (Int. J. Math. Math. Sci., 2014)

Enlarging the convergence ball of the method of parabola for finding zero of derivatives. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2015)

Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2015)

A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations. - Jidesh Pacheeripadikkal; Vorkady S. Shubha; Santhosh George (Appl. Math. Comput., 2015)

Ball Convergence for Steffensen-type Fourth-order Methods. - Ioannis K. Argyros; Santhosh George (Int. J. Interact. Multim. Artif. Intell., 2015)

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. - Ioannis K. Argyros; Santhosh George; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2015)

A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations. - Vorkady S. Shubha; Santhosh George; Jidesh Pacheeripadikkal (Numer. Algorithms, 2015)

Unified convergence domains of Newton-like methods for solving operator equations. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2016)

Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators. - Vorkady S. Shubha; Santhosh George; Jidesh Pacheeripadikkal; M. E. Shobha (Appl. Math. Comput., 2016)

On a result by Dennis and Schnabel for Newton's method: Further improvements. - Ioannis K. Argyros; Santhosh George (Appl. Math. Lett., 2016)

Convergence rate results for steepest descent type method for nonlinear ill-posed equations. - Santhosh George; M. Sabari (Appl. Math. Comput., 2017)

Local convergence of a fast Steffensen-type method on Banach space under weak conditions. - Ioannis K. Argyros; Santhosh George (Int. J. Comput. Sci. Math., 2017)

Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions. - Ioannis K. Argyros; Santhosh George (Math. Model. Anal., 2017)

On the convergence of Newton-like methods using restricted domains. - Ioannis K. Argyros; Santhosh George (Numer. Algorithms, 2017)

Modified Minimal Error Method for Nonlinear Ill-Posed Problems. - M. Sabari; Santhosh George (Comput. Methods Appl. Math., 2018)

Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method. - Santhosh George; M. Sabari (J. Comput. Appl. Math., 2018)

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations. - Ioannis K. Argyros; Santhosh George; Ángel Alberto Magreñán (Appl. Math. Lett., 2019)

Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales. - Santhosh George; K. Kanagaraj (Comput. Methods Appl. Math., 2019)

Unified convergence analysis of frozen Newton-like methods under generalized conditions. - Ioannis K. Argyros; Santhosh George (J. Comput. Appl. Math., 2019)

Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method. - Ioannis K. Argyros; Santhosh George; Chandhini Godavarma; Ángel Alberto Magreñán (Symmetry, 2019)

Extended Newton-type iteration for nonlinear ill-posed equations in Banach space. - C. D. Sreedeep; Santhosh George; Ioannis K. Argyros (J. Appl. Math. Comput., 2019)

Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations. - Vorkady S. Shubha; Santhosh George; P. Jidesh (J. Appl. Math. Comput., 2019)

Local Comparison between Two Ninth Convergence Order Algorithms for Equations. - Samundra Regmi; Ioannis K. Argyros; Santhosh George (Algorithms, 2020)

On the Solution of Equations by Extended Discretization. - Gus I. Argyros; Michael I. Argyros; Samundra Regmi; Ioannis K. Argyros; Santhosh George (Comput., 2020)

On the complexity of extending the convergence region for Traub's method. - Ioannis K. Argyros; Santhosh George (J. Complex., 2020)

Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations. - Ioannis K. Argyros; Santhosh George; Kedarnath Senapati (Numer. Algorithms, 2020)

Convergence analysis for single point Newton-type iterative schemes. - Ioannis K. Argyros; Santhosh George (J. Appl. Math. Comput., 2020)

Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. - K. Kanagaraj; G. D. Reddy; Santhosh George (J. Appl. Math. Comput., 2020)

Fractional Tikhonov regularization method in Hilbert scales. - Chitra Mekoth; Santhosh George; P. Jidesh (Appl. Math. Comput., 2021)

On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations. - Christopher I. Argyros; Ioannis K. Argyros; Janak Joshi; Samundra Regmi; Santhosh George (Symmetry, 2021)

Numerical Processes for Approximating Solutions of Nonlinear Equations. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (Axioms, 2022)

On the complexity of convergence for high order iterative methods. - Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (J. Complex., 2022)

Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (Symmetry, 2022)

Extending the Applicability of Cordero Type Iterative Method. - Krishnendu Remesh; Ioannis K. Argyros; Muhammed Saeed K; Santhosh George; Jidesh Padikkal (Symmetry, 2022)

An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. - Santhosh George; Muhammed Saeed K; Ioannis K. Argyros; P. Jidesh (J. Appl. Math. Comput., 2023)

Extended Kantorovich theory for solving nonlinear equations with applications. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Michael I. Argyros (Comput. Appl. Math., 2023)

Enhancing the practicality of Newton-Cotes iterative method. - Ramya Sadananda; Santhosh George; Ajil Kunnarath; Jidesh Padikkal; Ioannis K. Argyros (J. Appl. Math. Comput., 2023)

On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations. - Indra Bate; Muniyasamy Murugan; Santhosh George; Kedarnath Senapati; Ioannis K. Argyros; Samundra Regmi (Axioms, 2024)

On obtaining order of convergence of Jarratt-like method without using Taylor series expansion. - Santhosh George; Ajil Kunnarath; Ramya Sadananda; P. Jidesh; Ioannis K. Argyros (Comput. Appl. Math., 2024)

Enhancing the applicability of Chebyshev-like method. - Santhosh George; Indra Bate; Muniyasamy M; Chandhini Godavarma; Kedarnath Senapati (J. Complex., 2024)

On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion. - Muniyasamy M; Chandhini Godavarma; Santhosh George; Indra Bate; Kedarnath Senapati (J. Comput. Appl. Math., 2024)

Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations. - Ioannis K. Argyros; Santhosh George; Samundra Regmi; Christopher I. Argyros (Algorithms, 2024)

On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. - Ioannis K. Argyros; Santhosh George (J. Complex., 2024)

A weighted nuclear norm (WNN)-based retinex DIP framework for restoring aerial and satellite images corrupted by gamma distributed speckle noise. - Architha Shastry; P. Jidesh; Santhosh George; A. A. Bini 001 (Multim. Tools Appl., 2024)

On the Kantorovich Theory for Nonsingular and Singular Equations. - Ioannis K. Argyros; Santhosh George; Samundra Regmi; Michael I. Argyros (Axioms, 2024)

AttentionDIP: attention-based deep image prior model to restore satellite and aerial images from gamma distributed speckle interference. - Architha Shastry; Santhosh George; A. A. Bini 001; P. Jidesh (Vis. Comput., 2024)

Jarratt-type methods and their convergence analysis without using Taylor expansion. - Indra Bate; Kedarnath Senapati; Santhosh George; Muniyasamy M; Chandhini Godavarma (Appl. Math. Comput., 2025)

Local and semilocal analysis of a class of fourth order methods under common set of assumptions. - Ajil Kunnarath; Santhosh George; P. Jidesh (Appl. Math. Comput., 2025)

A procedure for increasing the convergence order of iterative methods from p to 5p for solving nonlinear system. - Santhosh George; Muniyasamy M; Manjusree Gopal; Chandhini Godavarma; Ioannis K. Argyros (J. Complex., 2025)

Unified convergence analysis of a class of iterative methods. - Muniyasamy M; Santhosh George; Chandhini G (Numer. Algorithms, 2025)