Topic · Numerical Analysis
Iterative Methods for Nonlinear Equations
Iterative Methods for Nonlinear Equations is a research topic within Numerical Analysis. Science Explorer counts 17k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots.
- Newton's Method
- Iterative Methods
- Convergence Analysis
- Nonlinear Equations
- Higher-Order Methods
- Quadrature Formulas
- Local Convergence
- Multiple Roots
- Derivative-Free Methods
- Banach Spaces
- Research works
- 17k fractional, since 1950
- In the world top 10%
- 1.7k per year above
- Top-10% rate
- 10.1% share of its works in the world top 10%
- Growth, 2018-21 → 2022-25
- -1% the tick is no change
- Largest producer
India
23% of the 10 largest, 2022-now
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