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Sequential matrix diagonalization algorithms for polynomial EVD of parahermitian matrices
For parahermitian polynomial matrices, which can be used, for example, to characterize
space-time covariance in broadband array processing, the conventional eigenvalue …
space-time covariance in broadband array processing, the conventional eigenvalue …
Eigenvalue decomposition of a parahermitian matrix: Extraction of analytic eigenvalues
An analytic parahermitian matrix admits an eigenvalue decomposition (EVD) with analytic
eigenvalues and eigenvectors except in the case of multiplexed data. In this paper, we …
eigenvalues and eigenvectors except in the case of multiplexed data. In this paper, we …
On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix
This paper addresses the extension of the factorization of a Hermitian matrix by an
eigenvalue decomposition (EVD) to the case of a parahermitian matrix that is analytic at …
eigenvalue decomposition (EVD) to the case of a parahermitian matrix that is analytic at …
MVDR broadband beamforming using polynomial matrix techniques
This paper presents initial progress on formulating minimum variance distortionless
response (MVDR) broadband beam-forming using a generalised sidelobe canceller (GSC) …
response (MVDR) broadband beam-forming using a generalised sidelobe canceller (GSC) …
Row-shift corrected truncation of paraunitary matrices for PEVD algorithms
J Corr, K Thompson, S Weiss… - 2015 23rd European …, 2015 - ieeexplore.ieee.org
In this paper, we show that the paraunitary (PU) matrices that arise from the polynomial
eigenvalue decomposition (PEVD) of a parahermitian matrix are not unique. In particular …
eigenvalue decomposition (PEVD) of a parahermitian matrix are not unique. In particular …
Multiple shift maximum element sequential matrix diagonalisation for parahermitian matrices
J Corr, K Thompson, S Weiss… - … IEEE Workshop on …, 2014 - ieeexplore.ieee.org
A polynomial eigenvalue decomposition of paraher-mitian matrices can be calculated
approximately using iterative approaches such as the sequential matrix diagonalisation …
approximately using iterative approaches such as the sequential matrix diagonalisation …
An algorithm for calculating the QR and singular value decompositions of polynomial matrices
JA Foster, JG McWhirter, MR Davies… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, a new algorithm for calculating the QR decomposition (QRD) of a polynomial
matrix is introduced. This algorithm amounts to transforming a polynomial matrix to upper …
matrix is introduced. This algorithm amounts to transforming a polynomial matrix to upper …
Compact order polynomial singular value decomposition of a matrix of analytic functions
MA Bakhit, FA Khattak, IK Proudler… - 2023 IEEE 9th …, 2023 - ieeexplore.ieee.org
This paper presents a novel method for calculating a compact order singular value
decomposition (SVD) of polynomial matrices, building upon the recently proven existence of …
decomposition (SVD) of polynomial matrices, building upon the recently proven existence of …
Multiple shift second order sequential best rotation algorithm for polynomial matrix EVD
Z Wang, JG McWhirter, J Corr… - 2015 23rd European …, 2015 - ieeexplore.ieee.org
In this paper, we present an improved version of the second order sequential best rotation
algorithm (SBR2) for polynomial matrix eigenvalue decomposition of para-Hermitian …
algorithm (SBR2) for polynomial matrix eigenvalue decomposition of para-Hermitian …
Efficient implementation of iterative polynomial matrix evd algorithms exploiting structural redundancy and parallelisation
A number of algorithms are capable of iteratively calculating a polynomial matrix eigenvalue
decomposition (PEVD), which is a generalisation of the EVD and will diagonalise a …
decomposition (PEVD), which is a generalisation of the EVD and will diagonalise a …