Title :
Zhang dynamics and Newton-Raphson iteration for time-varying and static reciprocals computation
Author :
Zhang, Yunong ; Xie, Yunjia ; Li, Fen ; Tan, Hongzhou
Author_Institution :
Sch. of Inf. Sci. & Technol., Sun Yat-sen Univ., Guangzhou, China
Abstract :
As a floating-point divider, Newton-Raphson iteration (NRI) is an effective method with a quadratic convergence. In this paper, we propose a class of novel dynamic models called Zhang dynamics (ZD) for online time-varying reciprocals computation. Moreover, we discover the relationship between the resultant ZD models and NRI for the static reciprocals computation. Through illustrative examples, we verify the efficiency of the ZD models and their superior properties to the traditional NRI for online time-varying reciprocals computation.
Keywords :
Newton-Raphson method; floating point arithmetic; NRI; Newton-Raphson iteration; ZD model; Zhang dynamics; dynamic model; floating-point divider; quadratic convergence; static reciprocal computation; time-varying reciprocals computation; Computational modeling; Computers; Convergence; Equations; Hardware; Mathematical model; Numerical models; Newton-Raphson iteration (NRI); Reciprocals computation; Time-varying; Zhang dynamics (ZD);
Conference_Titel :
Mechatronics and Automation (ICMA), 2012 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4673-1275-2
DOI :
10.1109/ICMA.2012.6282823