Extending the applicability of Newton’s method for k-Fréchet differentiable operators in Banach spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.046 ◽

2014 ◽

Vol 234 ◽

pp. 167-178 ◽

Author(s):

I.K. Argyros ◽

D. González

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method ◽

Fréchet Differentiable

Download Full-text

Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II

Acta Mathematica Sinica English Series ◽

10.1007/s10114-002-0238-y ◽

2003 ◽

Vol 19 (2) ◽

pp. 405-412 ◽

Author(s):

Xing Hua Wang ◽

Chong Li

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method ◽

Solution Of Equations ◽

Uniqueness Of The Solution

Download Full-text

Newton's Method in Banach Spaces

Proceedings of the American Mathematical Society ◽

10.2307/2032941 ◽

1955 ◽

Vol 6 (5) ◽

pp. 827 ◽

Author(s):

Robert G. Bartle

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method

Download Full-text

Newton’s method in Banach spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1955-0071730-1 ◽

1955 ◽

Vol 6 (5) ◽

pp. 827-827

Author(s):

Robert G. Bartle

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method

Download Full-text

A convergence theorem for Newton’s method in Banach spaces

Japan Journal of Applied Mathematics ◽

10.1007/bf03167090 ◽

1986 ◽

Vol 3 (1) ◽

pp. 37-52 ◽

Author(s):

Tetsuro Yamamoto

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Convergence Theorem ◽

Newton's Method

Download Full-text

A robust semi-local convergence analysis of Newton’s method for cone inclusion problems in Banach spaces under affine invariant majorant condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.11.019 ◽

2015 ◽

Vol 279 ◽

pp. 318-335 ◽

Author(s):

O.P. Ferreira

Keyword(s):

Convergence Analysis ◽

Banach Spaces ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Affine Invariant ◽

Inclusion Problems ◽

Majorant Condition ◽

Local Convergence Analysis

Download Full-text

Inexact Newton’s method for generalized operator equations in Banach spaces

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2018.4.09 ◽

2018 ◽

Vol 17 (4) ◽

pp. 85-97

Author(s):

Vipin Kumar Singh

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method ◽

Operator Equations ◽

Generalized Operator

Download Full-text

Newton’s method for k-Frechet differentiable operators

Iterative Methods and Their Dynamics with Applications ◽

10.1201/9781315153469-2 ◽

2017 ◽

pp. 25-45

Author(s):

Ioannis K. Argyros ◽

A. Alberto Magreñanb

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Fréchet Differentiable

Download Full-text

Mild Differentiability Conditions for Newton's Method in Banach Spaces

10.1007/978-3-030-48702-7 ◽

2020 ◽

Author(s):

José Antonio Ezquerro Fernandez ◽

Miguel Ángel Hernández Verón

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method

Download Full-text

Sufficient conditions for the convergence of Newton’s method in complex Banach spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1952-0055575-1 ◽

1952 ◽

Vol 3 (6) ◽

pp. 858-858

Author(s):

Marvin L. Stein

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method ◽

Sufficient Conditions

Download Full-text

Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces

Linear Algebra and its Applications ◽

10.1016/s0024-3795(02)00328-2 ◽

2003 ◽

Vol 363 ◽

pp. 43-64 ◽

Author(s):

T. Damm ◽

D. Hinrichsen

Keyword(s):

Banach Spaces ◽

Newton’S Method ◽

Newton's Method ◽

Ordered Banach Spaces

Download Full-text