lossless and easily invertible matrices, and a diagonal polynomial matrix. The inversion of the overall parahermitian matrix therefore reduces to the inversion of auto-correlation sequences in this diagonal matrix. We investigate a number of different approaches to obtain this inversion, and and ...
(6.6) for the R-matrix. [ , ] is a deformed Lie bracket acting on the generators of G. Applying the mCYBE, we find that it is related to the original bracket by [x, y] = [Rx, y] + [x, Ry] . (6.7) Furthermore, the R-matrix is skew-symmetric (Rx, y) = −(x, Ry...
Eigenvalues and eigenfunctions,Covariance matrices,Matrix decomposition,Discrete Fourier transforms,Broadband communication,Approximation error,NarrowbandThe space-time covariance matrix derived from broadband multichannel data admits - unless the data emerges from a multiplexing operation - a parahermitian matrix ...
Para-hermitian matricesJ-spectral factorizationZeros at infinityA numerical algorithm for J-spectral factorization of para-hermitian rational matrices is presented, based on a generalization of the notion of separated realization of a para-hermitian matrix. The transformations used preserve the para-...
In order to extract the analytic eigenvalues from a parahermitian matrix, the computational cost of the current state-of-the-art method grows factorially with the matrix dimension. Even though the approach offers benefits such as proven convergence, it has been found impractical to operate on ...
A parameterization of parahermitian matrix functions and its application to a state-space solution for -analysisLanaD.Y.PatraS.LanzonA.ingentaconnectSYSTEMS AND CONTROL LETTERS
Canonical form of para‐Hermitian pencils, generalized spectral factorization, and optimal control over frequency regionDESCRIPTOR SYSTEMSROBUST-CONTROLKYP LEMMASUMMARYWe generalize the J-spectral factorization of para-Hermitian proper rational matrix in the case when it has no constant inertia on the ...
Presents corrections to the paper, "On the existence and uniqueness of the eigenvalue decomposition of a paraher mitian matrix," (Weiss, S. et al), IEEE Trans. Signal Process., vol. 66, no. 10, pp. 2659–2672, May 2018.Stephan Weiss...
Matrix algebraGraphicsBy proper formulation of a step in the factorization algorithm of an elementary paraconjugate Hermitian polynomial matrix the exponential time-bound can be reduced to low polynomial one. As the remaining steps have polynomial time-bound a big save is expected in larger problems....
Laguerre parameterizationμ-analysisIn this paper, an economic parameterization for positive parahermitian matrix functions is introduced and applied to the 渭-analysis framework wherein we propose a new state-space optimization problem for finding the required D-scales. Among the four state-space ...