Zhang dynamics and Newton-Raphson iteration for time-varying and static reciprocals computation

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 re...

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Bibliographic Details
Main Authors: Yunong Zhang, Yunjia Xie, Fen Li, Hongzhou Tan
Format: Conference Proceeding
Language:English
Subjects:
Computational modeling
Computers
Convergence
Equations
Hardware
Mathematical model
Newton-Raphson iteration (NRI)
Numerical models
Reciprocals computation
Time-varying
Zhang dynamics (ZD)
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Summary: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.
ISSN:2152-7431
2152-744X
DOI:10.1109/ICMA.2012.6282823