8 citations · 25 across the 25 of their papers we have counts for
28 papers
Strictly Stable Hurwitz Polynomials and their Determinantal Representations
Victor Vinnikov, Hugo J. Woerdeman
We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a…
Real Factorization of Positive Semidefinite Matrix Polynomials
Sarah Gift, Hugo J. Woerdeman
Suppose is a real regular symmetric positive semidefinite matrix polynomial. Then it can be factored as where is a real …
Isospectrality and matrices with concentric circular higher rank numerical ranges
Edward Poon, Hugo J. Woerdeman
We characterize under what conditions Hermitian matrices and have the property that the spectrum of is independent of (thus, t…
The autoregressive filter problem for multivariable degree one symmetric polynomials
Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong
The multivariable autoregressive filter problem asks for a polynomial without roots in the closed -disk based on prescribed Fourier coefficients of i…
Spectral density functions of bivariable stable polynomials
Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong
The relationship between a stable multivariable polynomial and the Fourier coefficients of its spectral density function , is further investigated. In this paper…
Location of Ritz values in the numerical range of normal matrices
Kennett L. Dela Rosa, Hugo J. Woerdeman
Let be a complex number in the numerical range of a normal matrix . In the case when no eigenvalues of lie in the interior of , we identify the smallest c…