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Exact relaxation of multi point iterative methods in scalar case

机译:标量案例中的多点迭代方法的精确放松

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Based on the principle of minimality and well applicable for one-point iterative methods the exact relaxation can be adapted also to multi point ones. It accelerates and stabilizes iterative process. Simple effective algorithm to calculate exact relaxation for n-points iterative method is proposed and justified. The algorithm allows to circumvent the problem to find roots of polynomial with degree n > 2. The algorithm calculation price is easy estimated before iteration beginning. This lets a priory to specify expediency of the exact relaxation application. If n = 2 i.e. for secant method, the calculational formulas of exact relaxation are reduced.
机译:基于最小值的原理,适用于单点迭代方法,精确的弛豫也可以调整为多点溶解。它加速和稳定迭代过程。提出了简单的有效算法来计算N点迭代方法的精确松弛。该算法允许规避问题以找到具有程度N> 2的多项式的根。算法计算价格在迭代开始前估计。这使得一个序列来指定精确放松申请的权宜之计。如果n = 2即切割方法,则精确放松的计算公式减少。

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