Computation of Square and Cube Roots of $p$-Adic Numbers via Newton-Raphson Method

• Main Authors: Nable, Job A, Ignacio, Paul Samuel, Addawe, Joel, Alangui, Wilfredo
• Format: text
• Published: Archīum Ateneo 2013
• Subjects: p-adic numbers; square roots; Newton-Raphson method; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/13
• Institution: Ateneo De Manila University

The problem of finding square roots of p-adic integers in Zp, p =/= 2, has been a classic application of Hensel’s lemma. A recent development on this problem is the application and analysis of convergence of numerical methods in approximating p-adic numbers. For a p-adic number a, Zerzaihi, Kecies,...