NDLI: A study on parallelization of successive rotation based joint diagonalization

Content Provider	IEEE Xplore Digital Library
Author	Xiu-Lin Wang Xiao-Feng Gong Qiu-Hua Lin
Copyright Year	2014
Description	Author affiliation: Sch. of Inf. & Commun. Eng., Dalian Univ. of Technol., Dalian, China (Xiu-Lin Wang; Xiao-Feng Gong; Qiu-Hua Lin)
Abstract	Joint diagonalization (JD) is an instrumental tool in a vast variety of applications such as blind source separation, polarization sensitive array processing, and linear algebra based computation of tensor decompositions. Among the JD families, those based on successive rotations are a major category that minimizes the adopted highly nonlinear cost function by solving a set of simple sub-optimization problems. These sub-optimization problems are associated with certain elementary rotations that are performed over one or two rows and columns of target matrices, and thus a lower-dimensional exhaustion is required to cover and update all the matrix entries in a sequential manner. As such, the time consumed in the exhaustion procedure is in quadratic relationship with the dimensionality of target matrices and would go extremely heavy when handling large matrices. In this study, we examine and compare 3 parallelization schemes for a recently developed successive rotation based JD algorithm. The results show that these schemes can largely reduce the running time of JD with almost equal resulting accuracy when compared with the original version, when handling large matrices.
Starting Page	807
Ending Page	811
File Size	355962
Page Count	5
File Format	PDF
ISBN	9781479946129
ISSN	21653577
DOI	10.1109/ICDSP.2014.6900778
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-08-20
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Indexes Joints Signal to noise ratio Digital signal processing Signal processing algorithms Matrix decomposition Tensile stress Parallelization Joint diagonalization Successive rotation LU
Content Type	Text
Resource Type	Article

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