학술논문
Properly rounded variable precision square root.
Document Type
Journal
Author
Hull, T. E. (3-TRNT-C) AMS Author Profile; Abrham, A. (3-TRNT-C) AMS Author Profile
Source
Subject
65 Numerical analysis -- 65G Error analysis and interval analysis
65G05Roundoff error
65G05
Language
English
Abstract
Author summary: ``The square root function presented here returns a properly rounded approximation to the square root of its argument, or it raises an error condition if the argument is negative. `Properly rounded' means rounded to nearest, or to nearest even in case of a tie. It is `variable precision' in that it is designed to return a $p$-digit approximation to a $p$-digit argument, for any $p>0$. (Precision $p$ means $p$ decimal digits.) The program and the analysis are valid for all $p>0$, but current implementations place some restrictions on $p$.''