Title :
Comments on "Multiphase systolic algorithms for spectral decomposition" [and reply]
Author :
De Jun Mu ; Guan-Zhong Dai ; Liu, K.J.R. ; Yao, Kai
Author_Institution :
Dept. of Autom. Control, Northwestern Polytech. Univ., Xian, China
Abstract :
Comments that the paper by Liu and Yao (see ibid., vol.40, no.1, p.190, 1992) presented an efficient algorithm for spectral decomposition, but the parallel algorithm and architecture for the Hessenberg reduction has a problem. The matrix obtained from the unitary similarity transformation is not necessarily a Hessenberg matrix. The authors reply that the Hessenberg reduction described is not in the Hessenberg form. Only the first column is in its proper form. There are many ways to overcome such a problem. One simple way is to use the multiphase rectangular systolic array.<>
Keywords :
matrix algebra; parallel algorithms; spectral analysis; Hessenberg matrix; Hessenberg reduction; multiphase rectangular systolic array; multiphase systolic algorithms; parallel algorithm; parallel architecture; spectral decomposition; unitary similarity transformation; Conferences; Covariance matrix; Displays; Matrix decomposition; Maximum likelihood estimation; Multiple signal classification; Signal processing algorithms; Signal resolution; Spectral analysis; Speech processing;
Journal_Title :
Signal Processing, IEEE Transactions on
