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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, ...
JCP
2008
145views more  JCP 2008»
13 years 7 months ago
Impact of Shift Operations on (-1+j)-Base Complex Binary Numbers
Complex numbers play a very important role in various applications of electrical and computer engineering. These days, arithmetic operations dealing with these numbers rely on a &q...
Tariq Jamil
GLVLSI
2007
IEEE
158views VLSI» more  GLVLSI 2007»
14 years 2 months ago
Design of a versatile and cost-effective hybrid floating-point/LNS arithmetic processor
LNS (logarithmic number system) arithmetic has the advantages of high-precision and high performance in complex function computation. However, the large hardware problem in LNS ad...
Chichyang Chen, Paul Chow
ISAAC
2003
Springer
141views Algorithms» more  ISAAC 2003»
14 years 27 days ago
Quasi-optimal Arithmetic for Quaternion Polynomials
Abstract. Fast algorithms for arithmetic on real or complex polynomials are wellknown and have proven to be not only asymptotically efficient but also very practical. Based on Fas...
Martin Ziegler
JC
2000
135views more  JC 2000»
13 years 7 months ago
Decision Problems in Quadratic Function Fields of High Genus
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
Renate Scheidler