NDLI: Convergence Analysis of Jacobi Iterative Method Using Logarithmic Number System

Content Provider	IEEE Xplore Digital Library
Author	Peng Huang Teng, D.H.-Y. Wahid, K. Seok-Bum Ko
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Saskatchewan Univ., Saskatoon, SK (Peng Huang; Teng, D.H.-Y.; Wahid, K.; Seok-Bum Ko)
Abstract	This paper presents convergence analysis of Jacobi iterative method using logarithmic number system (LNS) for solving linear systems, where multiplications and divisions are replaced with additions and subtractions, respectively. Two major factors are identified and considered in our convergence analysis. First, in any hardware architecture for Jacobi iterative method, only a set of unknowns can be processed in parallel due to the constraint of hardware resources. Secondly, the conversions of logarithm-to-floating-point and floating-to-logarithm introduce additional error. The convergence analysis demonstrates to what extent the hardware resource constraints and additional conversion error affect the convergence of Jacobi iterative method.
Starting Page	27
Ending Page	32
File Size	342043
Page Count	6
File Format	PDF
ISBN	9780769531311
DOI	10.1109/ICIS.2008.97
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-05-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Convergence Jacobian matrices Iterative methods Hardware Circuits Error correction Numerical analysis Linear systems Error analysis Read only memory logarithmic number system (LNS) Jacobi iterative method
Content Type	Text
Resource Type	Article

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