Go to  Advanced Search

Rounding errors in digital computer arithmetic subroutines.

Show full item record

Files in this item

Files Size Format Description   View
UBC_1963_A8 L23 R6.pdf 1.708Mb Adobe Portable Document Format   View/Open
Title: Rounding errors in digital computer arithmetic subroutines.
Author: Lastman, Gary Joseph
Degree: Master of Arts - MA
Program: Mathematics
Copyright Date: 1963
Subject Keywords Error analysis (Mathematics)
Issue Date: 2011-11-21
Publisher University of British Columbia
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
Abstract: In this thesis we investigate arithmetic subroutines and round-off procedures. An error analysis of single operations in normalized floating point arithmetic leads us to the construction of an improved form of addition-subtraction subroutine. In addition the properties of several types of round-off procedures are examined (adding ½; adding random digits; dropping digits). The experimental work (using the above mentioned subroutines) with the system x• = y, y• = -x shows that the systematic accumulation of round-off error observed by Huskey is due to the type of rounding-off procedure used. Furthermore, Hartree's explanation of this effect is found to be inadequate because carrying extra digits throughout the calculations does not eliminate the systematic round-off.
Affiliation: Science, Faculty of
URI: http://hdl.handle.net/2429/39178
Scholarly Level: Graduate

This item appears in the following Collection(s)

Show full item record

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893