학술저널
NEWTON-RAPHSON METHOD FOR COMPUTING p-ADIC ROOTS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 4
-
2015.11575 - 582 (8 pages)
- 2
The Newton-Raphson method is used to compute the q-th roots of a p-adic number for a prime number q. The sufficient conditions for the convergence of this method are obtained. The speed of its convergence and the number of iterations to obtain a number of corrected digits in the approximation are calculated.
1. Introduction
2. Preliminaries
3. Main results
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