superlinear convergence
[ˌsuːpərˈlɪniər kənˈvɜːrdʒəns]
noun
convergência superlinear
1. A property of iterative numerical methods where the rate of convergence is faster than linear but slower than quadratic, meaning the error decreases more rapidly than a constant factor with each iteration but not as rapidly as the square of the previous error.
The Newton-Raphson method demonstrates superlinear convergence when solving nonlinear equations near the solution.
O método de Newton-Raphson demonstra convergência superlinear ao resolver equações não-lineares próximo à solução.
2. In numerical analysis, a convergence rate where ||x_{n+1} - x*|| ≤ C||x_n - x*||^p with 1 < p < 2, where x* is the limit point.
Superlinear convergence ensures that iterative algorithms reach the solution significantly faster than linear convergence methods.
A convergência superlinear garante que algoritmos iterativos atinjam a solução significativamente mais rápido que métodos de convergência linear.
This is a highly specialized mathematical and computational term used primarily in academic and professional contexts within both Brazilian and American scientific communities. It is particularly relevant in fields such as numerical analysis, computational mathematics, and engineering. The term remains the same in both English and Portuguese, making it a true cognate in technical vocabulary.
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