NEWTON-RAPHSON METHOD FOR COMPUTING p-ADIC ROOTS

Abstract

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.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.