4.6 Article

On a class of recursive relations for calculating square roots of numbers

Journal

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 69, Issue 1, Pages 973-987

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s12190-022-01780-5

Keywords

Recursive relation; Solvable equation; Solution in closed form; Square root

Ask authors/readers for more resources

This paper demonstrates that a recursive relation for finding square roots can be naturally derived from an iterative process and can be solved in closed form, providing an elegant explanation for some existing literature. Additionally, a new class of recursive relations for finding square roots, which can also be solved in closed form, is introduced, significantly expanding and unifying the field.
We show that a recursive relation for finding square roots of numbers is naturally obtained from an iteration process, and that the relation is solvable in closed form, explaining some results in the literature in an elegant way. We also present a class of recursive relations for finding square roots of numbers which are also solvable in closed form, considerably extending and unifying such recursive relations.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available