Mathematical Institute of the Serbian Academy of Sciences and Arts
|Title:||On a class of recursive relations for calculating square roots of numbers||Journal:||Journal of Applied Mathematics and Computing||Issue Date:||10-Aug-2022||Rank:||~M21a||ISSN:||1598-5865||DOI:||10.1007/s12190-022-01780-5||Abstract:||
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.
|Keywords:||Recursive relation | Solution in closed form | Solvable equation | Square root||Publisher:||Springer Link|
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