The binomial expansion method for approximation of a square root

Abstract

The algorithm of order m for approximation of a square root and its error analysis is based on the law of binomial expansion. Values of m, for which this algorithm and its equivalent formulations converge most rapidly, are sought.

Keywords:

• Order of Method
• Speed of algorithm

C.R. Categories:

• 5.25

†Department of Mathematics Technion-I.I.T. Haifa 32000 Israel.

†Department of Mathematics Technion-I.I.T. Haifa 32000 Israel.

Notes

†Department of Mathematics Technion-I.I.T. Haifa 32000 Israel.