Title
Improved Goldschmidt division method using mapping of divisors
Abstract
To achieve high precision with fewer storage resources, an improved Goldschmidt division method of using the mapping of divisors is presented. The improved division method does not need the initial approximation, which means that the look-up table can be saved. Then a mapping method is proposed to reduce the relative errors of the iteration results through multiplying the dividends and divisors by the mapping coefficients simultaneously. Since the mapping coefficients are all fixed factors, the mapping method applies CSD coding in the multiplication with fixed factors to reduce the hardware resources. Finally, using fewer hardware resources, the proposed method can achieve smaller relative errors.
Year
DOI
Venue
2013
10.1007/s11432-013-4996-1
SCIENCE CHINA Information Sciences
Keywords
Field
DocType
csd coding,mapping of divisors,goldschmidt division method,multiplication with fixed factors,fewer hardware resources
Algorithm,Arithmetic,Coding (social sciences),Multiplication,Divisor,Mathematics
Journal
Volume
Issue
ISSN
56
9
1869-1919
Citations 
PageRank 
References 
18
0.37
9
Authors
5
Name
Order
Citations
PageRank
wen yan1231.57
xiujie qu2361.42
he chen39711.09
jiyang yu4551.15
Teng Long538761.41