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Numerical algorithm of the n-th root

机译:第n个根的数值算法

摘要

Currently, in order to square root for each single digit of a given positive real root is a direct analysis method are available. Also, to compute the n th root of a given positive real number, it is possible to use the trial and error method, iterative method. When determining the n-th root, in such a way, for example, or it is necessary to guess initially, they involve enormous arithmetic, and or it is necessary to converge by performing multiple iterative steps, each I know that there inherent disadvantages are several. Direct method to determine the n-th root of a given positive real number did not exist before. The present invention is focused on the development of numerical algorithms to square root of n-th root of a given positive real number for each one digit in any desired accuracy. In some examples, to illustrate this algorithm. .
机译:当前,为了对给定正实根的每个个位数求平方根,可以使用直接分析方法。同样,要计算给定正实数的第n个根,可以使用反复试验法,迭代法。例如,当以这种方式确定第n个根时,或者有必要首先进行猜测时,它们涉及大量的算术运算,或者有必要通过执行多个迭代步骤来收敛,每个我都知道存在固有的缺点一些。以前不存在用于确定给定正实数的第n个根的直接方法。本发明集中于数值算法的发展,以便以任何期望的精度为每个数字给定正实数的第n个根的平方根。在某些示例中,以说明此算法。 。

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