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 ...
Toeplitz Matrix Inversion: The Algorithm of W. F. Trench The algorithm of W. F. Trench for the inversion of Toeplitz matrices is presented with a detailed proof for the case of non-Hermitian matrices. The only condition necessary to insure the validity of the algorithm is that all principal...
The whitening filter is close to the identity matrix in the set of whitening filters. Accordingly, the length of whitening filter can be shortened. In addition, the number of iterative calculations required for a design of the filter can be small. For separation we need to constrain the ...
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 ...
A parameterization of parahermitian matrix functions and its application to a state-space solution for -analysisLanaD.Y.PatraS.LanzonA.ingentaconnectSYSTEMS AND CONTROL LETTERS
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...
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 ...
A.C.M. Ran: Necessary and sufficient conditions for existence of J- spectral factorization for para-Hermitian rational matrix functions. Au- tomatica 39 (2003), 1935-1939.Ran A. C. M., Necessary and sufficient conditions for existence of J-spectral fac- torization for para-Hermitian ...
A.C.M. Ran: Necessary and sufficient conditions for existence of J- spectral factorization for para-Hermitian rational matrix functions. Au- tomatica 39 (2003), 1935-1939.Ran A. C. M., Necessary and sufficient conditions for existence of J-spectral fac- torization for para-Hermitian ...
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....