Santhosh George

Orcid: 0000-0002-3530-5539

According to our database1, Santhosh George authored at least 55 papers between 2004 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2025
Jarratt-type methods and their convergence analysis without using Taylor expansion.
Appl. Math. Comput., 2025

2024
AttentionDIP: attention-based deep image prior model to restore satellite and aerial images from gamma distributed speckle interference.
Vis. Comput., August, 2024

On the Kantorovich Theory for Nonsingular and Singular Equations.
Axioms, June, 2024

A weighted nuclear norm (WNN)-based retinex DIP framework for restoring aerial and satellite images corrupted by gamma distributed speckle noise.
Multim. Tools Appl., April, 2024

On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property.
J. Complex., April, 2024

Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations.
Algorithms, April, 2024

On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion.
J. Comput. Appl. Math., 2024

Enhancing the applicability of Chebyshev-like method.
J. Complex., 2024

On obtaining order of convergence of Jarratt-like method without using Taylor series expansion.
Comput. Appl. Math., 2024

On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations.
Axioms, 2024

2023
Enhancing the practicality of Newton-Cotes iterative method.
J. Appl. Math. Comput., August, 2023

Extended Kantorovich theory for solving nonlinear equations with applications.
Comput. Appl. Math., March, 2023

An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method.
J. Appl. Math. Comput., February, 2023

2022
Extending the Applicability of Cordero Type Iterative Method.
Symmetry, 2022

Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications.
Symmetry, 2022

On the complexity of convergence for high order iterative methods.
J. Complex., 2022

Numerical Processes for Approximating Solutions of Nonlinear Equations.
Axioms, 2022

2021
On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations.
Symmetry, 2021

Fractional Tikhonov regularization method in Hilbert scales.
Appl. Math. Comput., 2021

2020
Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates.
J. Appl. Math. Comput., June, 2020

Convergence analysis for single point Newton-type iterative schemes.
J. Appl. Math. Comput., February, 2020

Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations.
Numer. Algorithms, 2020

On the complexity of extending the convergence region for Traub's method.
J. Complex., 2020

On the Solution of Equations by Extended Discretization.
Comput., 2020

Local Comparison between Two Ninth Convergence Order Algorithms for Equations.
Algorithms, 2020

2019
Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations.
J. Appl. Math. Comput., October, 2019

Extended Newton-type iteration for nonlinear ill-posed equations in Banach space.
J. Appl. Math. Comput., June, 2019

Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method.
Symmetry, 2019

Unified convergence analysis of frozen Newton-like methods under generalized conditions.
J. Comput. Appl. Math., 2019

Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales.
Comput. Methods Appl. Math., 2019

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations.
Appl. Math. Lett., 2019

2018
Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method.
J. Comput. Appl. Math., 2018

Modified Minimal Error Method for Nonlinear Ill-Posed Problems.
Comput. Methods Appl. Math., 2018

2017
On the convergence of Newton-like methods using restricted domains.
Numer. Algorithms, 2017

Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions.
Math. Model. Anal., 2017

Local convergence of a fast Steffensen-type method on Banach space under weak conditions.
Int. J. Comput. Sci. Math., 2017

Convergence rate results for steepest descent type method for nonlinear ill-posed equations.
Appl. Math. Comput., 2017

2016
On a result by Dennis and Schnabel for Newton's method: Further improvements.
Appl. Math. Lett., 2016

Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators.
Appl. Math. Comput., 2016

Unified convergence domains of Newton-like methods for solving operator equations.
Appl. Math. Comput., 2016

2015
A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations.
Numer. Algorithms, 2015

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order.
J. Comput. Appl. Math., 2015

Ball Convergence for Steffensen-type Fourth-order Methods.
Int. J. Interact. Multim. Artif. Intell., 2015

A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations.
Appl. Math. Comput., 2015

Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative.
Appl. Math. Comput., 2015

Enlarging the convergence ball of the method of parabola for finding zero of derivatives.
Appl. Math. Comput., 2015

2014
Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations.
Int. J. Math. Math. Sci., 2014

An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems.
Appl. Math. Comput., 2014

2013
Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales.
Appl. Math. Comput., 2013

Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems.
Appl. Math. Comput., 2013

2012
A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations.
Comput. Methods Appl. Math., 2012

Shock coupled fourth-order diffusion for image enhancement.
Comput. Electr. Eng., 2012

2011
Fourth-order variational model with local-constraints for denoising images with textures.
Int. J. Comput. Vis. Robotics, 2011

2008
A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations.
J. Complex., 2008

2004
Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations.
Int. J. Math. Math. Sci., 2004


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