Extending the solvability of equations using secant-type methods in Banach space
We extend the solvability of equations dened on a Banach space using numerically ecient secant-type methods. The convergence domain of these methods is enlarged using our new idea of restricted convergence region. By using this approach, we obtain a more precise location where the iterates lie than...
Main Authors: | Ioannis K. Argyros, Santhosh George |
---|---|
Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2021-12-01
|
Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | http://localhost/journal/article/view/1134 |
Similar Items
-
Extending the solvability of equations using secant-type methods in Banach space
by: Ioannis K. Argyros, et al.
Published: (2021-12-01) -
Extending the solvability of equations using secant-type methods in Banach space
by: Ioannis K. Argyros, et al.
Published: (2021-12-01) -
Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations
by: Ioannis K. Argyros, et al.
Published: (2020-07-01) -
Application of a Generalized Secant Method to Nonlinear Equations with Complex Roots
by: Avram Sidi
Published: (2021-07-01) -
On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions
by: Akanksha Saxena, et al.
Published: (2021-03-01)