DocumentCode
1151733
Title
A reverse formulation of the RISE algorithm
Author
Wilkes, D. Mitchell
Author_Institution
Dept. of Electr. Eng., Vanderbilt Univ., Nashville, TN, USA
Volume
40
Issue
8
fYear
1992
fDate
8/1/1992 12:00:00 AM
Firstpage
2105
Lastpage
2108
Abstract
The recently developed recursive/iterative self-adjoint eigenspace (RISE) decomposition algorithm recursively computes the complete eigenspace decomposition of successively larger Hermitian matrices. However, some practical applications also require that the decomposition of successively smaller matrices be computed. A modification to the RISE algorithm is presented that makes it possible to run this algorithm backward on successively smaller Hermitian matrices. This important modification increases the number of practical applications of this algorithm
Keywords
eigenvalues and eigenfunctions; iterative methods; matrix algebra; Hermitian matrices; RISE algorithm; eigenspace decomposition; recursive/iterative self-adjoint eigenspace; reverse formulation; Colored noise; Direction of arrival estimation; Eigenvalues and eigenfunctions; Equations; Iterative algorithms; Matrix decomposition; Sensor arrays; Shape; Signal processing algorithms;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.149982
Filename
149982
Link To Document