A significant improvement of a family of secant-type methods

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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A new tool to study real dynamics: the convergence plane
The ``Gauss-Seidelization of iterative methods for solving nonlinear equations in the complex plane
Local convergence of efficient secant-type methods for solving nonlinear equations
A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
Real dynamics for damped Newton's method applied to cubic polynomials
Stability of King's family of iterative methods with memory
Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method
On the ball of convergence of secant-like methods for non-differentiable operators
On an improved local convergence analysis for the Secant method
Homocentric convergence ball of the secant method
A uniparametric family of iterative processes for solving nondifferentiable equations
Secant-like methods for solving nonlinear integral equations of the Hammerstein type
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra-Fredholm integral equations
Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations
A new class of secant-like methods for solving nonlinear systems of equations
Convergence analysis of the secant type methods
Dynamics and local convergence of a family of derivative-free iterative processes
The convergence ball of the secant method under Hölder continuous divided differences
Solving a special case of conservative problems by secant-like methods
On a Kurchatov's method of linear interpolation for solving nonlinear equations
An efficient cubic B‐spline and bicubic B‐spline collocation method for numerical solutions of multidimensional nonlinear stochastic quadratic integral equations
Mild Differentiability Conditions for Newton's Method in Banach Spaces
A variant of Newton's method with accelerated third-order convergence

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