A fractional Traub-Steffensen-type method for solving nonlinear equations
From MaRDI portal
Publication:6200829
DOI10.1007/s11075-023-01601-1MaRDI QIDQ6200829
Harmandeep Singh, Janak Raj Sharma
Publication date: 20 February 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Fractional derivatives and integrals (26A33) Rate of convergence, degree of approximation (41A25)
Cites Work
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- A new tool to study real dynamics: the convergence plane
- New properties of conformable derivative
- Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems
- On conformable fractional calculus
- A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions
- Fractional Hadamard powers of positive semidefinite matrices.
- Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations
- An optimal and low computational cost fractional Newton-type method for solving nonlinear equations
- A new definition of fractional derivative
- Some real-life applications of a newly constructed derivative free iterative scheme
- 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
- Simple yet highly efficient numerical techniques for systems of nonlinear equations
- Generalized conformable fractional Newton-type method for solving nonlinear systems
- Higher order Traub-Steffensen type methods and their convergence analysis in Banach spaces