Unrestricted algorithms for reciprocals and square roots
type: Item
instance of: scholarly article
title: Unrestricted algorithms for reciprocals and square roots
zbMATH Open document ID: 0613.65011
DOI: 10.1007/BF01935054
author: C. W. Clenshaw
author: F. W. J. Olver
published in: BIT
publication date: 1986-01-01T00:00:00Z
review text: The authors present algorithms for the computation of reciprocals of nonzero real numbers and square roots of positive numbers. There are no restrictions on the range of the numbers or on the precision that may be demanded in the results. The paper is a continuation of similar papers on the exponential function and on the precision concepts.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65G50
Mathematics Subject Classification ID: 26A09
zbMATH DE Number: 3992770
zbMATH Keywords: relative precision
zbMATH Keywords: computer arithmetic
zbMATH Keywords: error analysis
zbMATH Keywords: multi-precision software
zbMATH Keywords: unrestricted algorithms
zbMATH Keywords: reciprocals
zbMATH Keywords: square roots
reviewed by: Nico M. Temme
describes a project that uses: Algorithm 524
MaRDI profile type: Publication
cites work: Q4110543
cites work: An Unrestricted Algorithm for the Exponential Function
cites work: Beyond Floating Point
cites work: Level-Index Arithmetic Operations
cites work: Properly rounded variable precision square root
cites work: A New Approach to Error Arithmetic
cites work: Further Developments of Rp and Ap Error Analysis
cites work: Interval bounds for square roots and cube roots
full work available at URL: https://doi.org/10.1007/bf01935054
OpenAlex ID: W2085330824
description: scientific article; zbMATH DE number 3992770