The performance of the secant method in the field of $p$-adic numbers
The performance of the secant method in the field of $p$-adic numbers
In this paper, we compute the square roots of $p$-adic numbers in $\mathbb{Q}_{p}$, using the secant method. We also study the performance of this method: the speed of its convergence and the number of iterations necessary to obtain the desired precision $M$ which represents the number of $p$-adic digits in …