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Rounding errors in digital computer arithmetic subroutines.

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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

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