Higher order Traub-Steffensen type methods and their convergence analysis in Banach spaces
DOI10.1515/ijnsns-2021-0202OpenAlexW4306174455MaRDI QIDQ6173188
Janak Raj Sharma, Harmandeep Singh, Deepak Kumar
Publication date: 21 July 2023
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0202
Banach spacenonlinear equationscomputational efficiencyderivative-free methodsTraub-Steffensen method
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with linear operators (65J10) Rate of convergence, degree of approximation (41A25)
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Cites Work
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- Efficient derivative-free numerical methods for solving systems of nonlinear equations
- A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approach
- An efficient fifth order method for solving systems of nonlinear equations
- Third-order family of methods in Banach spaces
- Frozen divided difference scheme for solving systems of nonlinear equations
- A third-order Newton-type method to solve systems of nonlinear equations
- Seventh-order derivative-free iterative method for solving nonlinear systems
- On the local convergence of a fifth-order iterative method in Banach spaces
- On efficient weighted-Newton methods for solving systems of nonlinear equations
- A note on the local convergence of iterative methods based on adomian decomposition method and 3-node quadrature rule
- On some computational orders of convergence
- A class of two-step Steffensen type methods with fourth-order convergence
- Highly efficient family of iterative methods for solving nonlinear models
- General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations
- Preserving the order of convergence: low-complexity Jacobian-free iterative schemes for solving nonlinear systems
- On Newton-type methods with cubic convergence
- A family of Steffensen type methods with seventh-order convergence
- A new solution procedure for the nonlinear telegraph equation
- A fourth-order method from quadrature formulae to solve systems of nonlinear equations
- Variants of Newton's method using fifth-order quadrature formulas
- New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations
- Iterative Methods and Their Dynamics with Applications
- From Linear to Nonlinear Large Scale Systems
- Convergence and Applications of Newton-type Iterations
- On a class of modified newton processes
- Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations
- Extended convergence for a fifth‐order novel scheme free from derivatives
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