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单词 Fixed point iteration
释义

Fixed point iteration

英语百科

Fixed-point iteration

The fixed-point iteration xn+1 = sin xn with initial value x0 = 2 converges to 0. This example does not satisfy the assumptions of the Banach fixed point theorem and so its speed of convergence is very slow.

In numerical analysis, fixed-point iteration is a method of computing fixed points of iterated functions.

More specifically, given a function f defined on the real numbers with real values and given a point x_0 in the domain of f, the fixed point iteration is

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更新时间:2025/6/20 21:37:53