DocumentCode
2461344
Title
Complex SLI arithmetic: Representation, algorithms and analysis
Author
Turner, Peter R.
Author_Institution
Dept. of Math., US Naval Acad., Annapolis, MD, USA
fYear
1993
fDate
29 Jun-2 Jul 1993
Firstpage
18
Lastpage
25
Abstract
The extension of the SLI (symmetric level index) system to complex numbers and arithmetic is discussed. The natural form for representation of complex quantities in SLI is in the modulus-argument form, and this can be sensibly packed into a single 64-b word for the equivalent of the 32-b real SLI representation. The arithmetic algorithms prove to be very slightly more complicated than for real SLI arithmetic. The representation, the arithmetic algorithms, and the control of errors within these algorithms are described
Keywords
floating point arithmetic; SLI; SLI arithmetic; arithmetic algorithms; complex numbers; modulus-argument form; representation; symmetric level index; Algorithm design and analysis; Computer errors; Digital arithmetic; Error analysis; Error correction; Floating-point arithmetic; Mathematics; Scientific computing; Software algorithms; Software design;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Arithmetic, 1993. Proceedings., 11th Symposium on
Conference_Location
Windsor, Ont.
Print_ISBN
0-8186-3862-1
Type
conf
DOI
10.1109/ARITH.1993.378113
Filename
378113
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