Santhosh George

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 38

Top Topics

Nonlinear Equations

Regularization Method

Derivative Free

Convergence Analysis

Top Venues

Appl. Math. Comput.

J. Appl. Math. Comput.

Publications

Santhosh George, Indra Bate, Muniyasamy M, Chandhini Godavarma, Kedarnath Senapati
Enhancing the applicability of Chebyshev-like method. J. Complex. 83 (2024)
Architha Shastry, Santhosh George, A. A. Bini, P. Jidesh
AttentionDIP: attention-based deep image prior model to restore satellite and aerial images from gamma distributed speckle interference. Vis. Comput. 40 (8) (2024)
Muniyasamy M, Chandhini Godavarma, Santhosh George, Indra Bate, Kedarnath Senapati
On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion. J. Comput. Appl. Math. 452 (2024)
Architha Shastry, P. Jidesh, Santhosh George, AA Bini
A weighted nuclear norm (WNN)-based retinex DIP framework for restoring aerial and satellite images corrupted by gamma distributed speckle noise. Multim. Tools Appl. 83 (13) (2024)
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Michael I. Argyros
On the Kantorovich Theory for Nonsingular and Singular Equations. Axioms 13 (6) (2024)
Ioannis K. Argyros, Santhosh George
On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. J. Complex. 81 (2024)
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Christopher I. Argyros
Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations. Algorithms 17 (4) (2024)
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) (2024)
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)
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) (2023)
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) (2023)
Krishnendu Remesh, Ioannis K. Argyros, Muhammed Saeed K, Santhosh George, Jidesh Padikkal
Extending the Applicability of Cordero Type Iterative Method. Symmetry 14 (12) (2022)
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) (2022)
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
Numerical Processes for Approximating Solutions of Nonlinear Equations. Axioms 11 (7) (2022)
Ioannis K. Argyros, Santhosh George, Christoper Argyros
On the complexity of convergence for high order iterative methods. J. Complex. 73 (2022)
Chitra Mekoth, Santhosh George, P. Jidesh
Fractional Tikhonov regularization method in Hilbert scales. Appl. Math. Comput. 392 (2021)
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) (2021)
Ioannis K. Argyros, Santhosh George
On the complexity of extending the convergence region for Traub's method. J. Complex. 56 (2020)
Gus I. Argyros, Michael I. Argyros, Samundra Regmi, Ioannis K. Argyros, Santhosh George
On the Solution of Equations by Extended Discretization. Comput. 8 (3) (2020)
K. Kanagaraj, G. D. Reddy, Santhosh George
Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. J. Appl. Math. Comput. 63 (1-2) (2020)
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) (2020)
Ioannis K. Argyros, Santhosh George
Convergence analysis for single point Newton-type iterative schemes. J. Appl. Math. Comput. 62 (1-2) (2020)
Samundra Regmi, Ioannis K. Argyros, Santhosh George
Local Comparison between Two Ninth Convergence Order Algorithms for Equations. Algorithms 13 (6) (2020)
Vorkady S. Shubha, Santhosh George, P. Jidesh
Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations. J. Appl. Math. Comput. 61 (1-2) (2019)
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 (2019)
Ioannis K. Argyros, Santhosh George
Unified convergence analysis of frozen Newton-like methods under generalized conditions. J. Comput. Appl. Math. 347 (2019)
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) (2019)
Santhosh George, K. Kanagaraj
Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales. Comput. Methods Appl. Math. 19 (4) (2019)
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) (2019)
Santhosh George, M. Sabari
Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method. J. Comput. Appl. Math. 330 (2018)
M. Sabari, Santhosh George
Modified Minimal Error Method for Nonlinear Ill-Posed Problems. Comput. Methods Appl. Math. 18 (2) (2018)
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) (2017)
Santhosh George, M. Sabari
Convergence rate results for steepest descent type method for nonlinear ill-posed equations. Appl. Math. Comput. 294 (2017)
Ioannis K. Argyros, Santhosh George
On the convergence of Newton-like methods using restricted domains. Numer. Algorithms 75 (3) (2017)
Ioannis K. Argyros, Santhosh George
Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions. Math. Model. Anal. 22 (2) (2017)
Ioannis K. Argyros, Santhosh George
Unified convergence domains of Newton-like methods for solving operator equations. Appl. Math. Comput. 286 (2016)
Ioannis K. Argyros, Santhosh George
On a result by Dennis and Schnabel for Newton's method: Further improvements. Appl. Math. Lett. 55 (2016)
Vorkady S. Shubha, Santhosh George, Jidesh Pacheeripadikkal, M. E. Shobha
Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators. Appl. Math. Comput. 273 (2016)
Ioannis K. Argyros, Santhosh George
Ball Convergence for Steffensen-type Fourth-order Methods. Int. J. Interact. Multim. Artif. Intell. 3 (4) (2015)
Ioannis K. Argyros, Santhosh George
Enlarging the convergence ball of the method of parabola for finding zero of derivatives. Appl. Math. Comput. 256 (2015)
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 (2015)
Jidesh Pacheeripadikkal, Vorkady S. Shubha, Santhosh George
A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations. Appl. Math. Comput. 254 (2015)
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 (2015)
Vorkady S. Shubha, Santhosh George, Jidesh Pacheeripadikkal
A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations. Numer. Algorithms 68 (2) (2015)
Ioannis K. Argyros, Santhosh George, Jidesh Pacheeripadikkal
Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. Int. J. Math. Math. Sci. 2014 (2014)
Vladmir Vasin, Santhosh George
An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems. Appl. Math. Comput. 230 (2014)
Santhosh George, Suresan Pareth, M. Kunhanandan
Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales. Appl. Math. Comput. 219 (24) (2013)
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) (2013)
Santhosh George, Atef Ibrahim Elmahdy
A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations. Comput. Methods Appl. Math. 12 (1) (2012)
Jidesh Pacheeripadikkal, Santhosh George
Shock coupled fourth-order diffusion for image enhancement. Comput. Electr. Eng. 38 (5) (2012)
Jidesh Pacheeripadikkal, Santhosh George
Fourth-order variational model with local-constraints for denoising images with textures. Int. J. Comput. Vis. Robotics 2 (4) (2011)
Santhosh George, M. Thamban Nair
A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations. J. Complex. 24 (2) (2008)
Santhosh George, M. Thamban Nair
Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations. Int. J. Math. Math. Sci. 2004 (37) (2004)