Title
Complexity And Search Space Reduction In Cyclic-By-Row Pevd Algorithms
Abstract
In recent years, several algorithms for the iterative calculation of a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is a generalisation of the ordinary EVD and uses paraunitary operations to diagonalise a parahermitian matrix. This paper addresses potential computational savings that can be applied to existing cyclic-by-row approaches for the PEVD. These savings are found during the search and rotation stages, and do not significantly impact on algorithm accuracy. We demonstrate that with the proposed techniques, computations can be significantly reduced. The benefits of this are important for a number of broadband multichannel problems.
Year
Venue
Field
2016
2016 50TH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS AND COMPUTERS
Approximation algorithm,Mathematical optimization,Polynomial matrix,Generalization,Matrix (mathematics),Computer science,Matrix decomposition,Algorithm,Eigendecomposition of a matrix,Sparse matrix,Computation
DocType
ISSN
Citations 
Conference
1058-6393
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Fraser K. Coutts184.31
Jamie Corr2112.78
Keith Thompson373.31
Weiss, Stephan420933.25
Ian K. Proudler56312.78
John G. McWhirter621428.77