linear convergence
[/ˈlɪniər kənˈvɜrdʒəns/]
noun
convergência linear
1. A type of convergence in numerical analysis where a sequence approaches a limit at a constant rate, with the error decreasing by a fixed factor at each iteration
The iterative method exhibits linear convergence with a convergence rate of 0.5.
O método iterativo exibe convergência linear com uma taxa de convergência de 0,5.
2. In optimization, a situation where the distance to the optimal solution reduces proportionally at each step
Linear convergence is slower than quadratic convergence but faster than sublinear convergence.
A convergência linear é mais lenta que a convergência quadrática, mas mais rápida que a convergência sublinear.
Linear convergence is a specialized term primarily used in academic and technical contexts within mathematics, numerical analysis, and computational science. It is equally understood and used in both Brazilian Portuguese and European Portuguese scientific communities, with no significant regional variations.
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