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Exact Complex Arithmetic in an Imaginary Radix System

Kaganovsky, Alexander (1999) Exact Complex Arithmetic in an Imaginary Radix System. Technical report. (KAR id:21802)


This paper investigates an exact arithmetic based on the single-component representation of complex numbers by sequences of signed digits written to imaginary base ri. Algorithms for the four basic arithmetic operations in this representation are described and analyzed. The algorithms are to an unexpected extent scarcely different from their exact real equivalents, which significantly speeds up exact complex number manipulations.

Item Type: Reports and Papers (Technical report)
Additional information: Technical Report 9-99
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 09 Oct 2009 13:54 UTC
Last Modified: 16 Nov 2021 10:00 UTC
Resource URI: (The current URI for this page, for reference purposes)

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