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ARITH
1999
IEEE
13 years 11 months ago
Complex Logarithmic Number System Arithmetic Using High-Radix Redundant CORDIC Algorithms
This paper describes the application of high radix redundant CORDIC algorithms to complex logarithmic number system arithmetic. It shows that a CLNS addition can be performed with...
David Lewis
ARITH
2003
IEEE
14 years 23 days ago
High-Radix Iterative Algorithm for Powering Computation
A high-radix composite algorithm for the computation of the powering function (¤¦¥ ) is presented in this paper. The algorithm consists of a sequence of overlapped operations: ...
José-Alejandro Piñeiro, Milos D. Erc...
TC
2010
13 years 2 months ago
Speculatively Redundant Continued Logarithm Representation
Continued logarithms, as originally introduced by Gosper, represent a means for exact rational arithmetic, but their application to exact real arithmetic is limited by the uniquene...
Tomas Brabec
JC
2008
77views more  JC 2008»
13 years 7 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...