Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations
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Publication:6060709
DOI10.1007/s40314-023-02480-xMaRDI QIDQ6060709
Harmandeep Singh, Janak Raj Sharma
Publication date: 3 November 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Rate of convergence, degree of approximation (41A25) Operators on Banach spaces (47B01)
Cites Work
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- Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
- On the local and semilocal convergence of a parameterized multi-step Newton method
- On global convergence for an efficient third-order iterative process
- Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces
- A study of the local convergence of a fifth order iterative method
- Two new effective iteration methods for nonlinear systems with complex symmetric Jacobian matrices
- Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
- Efficient optimal families of higher-order iterative methods with local convergence
- The Theory and Applications of Iteration Methods
- How to Improve the Domain of Starting Points for Steffensen's Method
- Local Convergence of a Family of Iterative Methods with Sixth and Seventh Order Convergence Under Weak Conditions
- On a novel seventh convergence order method for solving nonlinear equations and its extensions
- Semilocal convergence analysis of an efficient Steffensen-type fourth order method
- On the complexity of a unified convergence analysis for iterative methods
- SIMPLE AND EFFICIENT FIFTH ORDER SOLVERS FOR SYSTEMS OF NONLINEAR PROBLEMS
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