Zobrazeno 1 - 10
of 346
pro vyhledávání: '"Woerdeman, P."'
Autor:
Gift, Sarah, Woerdeman, Hugo J.
Suppose $Q(x)$ is a real $n\times n$ regular symmetric positive semidefinite matrix polynomial. Then it can be factored as $$Q(x) = G(x)^TG(x),$$ where $G(x)$ is a real $n\times n$ matrix polynomial with degree half that of $Q(x)$ if and only if $\de
Externí odkaz:
http://arxiv.org/abs/2301.13776
Autor:
Poon, Edward, Woerdeman, Hugo J.
Publikováno v:
Linear Algebra and its Applications, Volume 631, 15 December 2021, Pages 174-180
We characterize under what conditions $n\times n$ Hermitian matrices $A_1$ and $A_2$ have the property that the spectrum of $\cos t A_1 + \sin t A_2$ is independent of $t$ (thus, the trigonometric pencil $\cos t A_1 + \sin t A_2$ is isospectral). One
Externí odkaz:
http://arxiv.org/abs/2103.12885
The multivariable autoregressive filter problem asks for a polynomial $p(z)=p(z_1, \ldots , z_d)$ without roots in the closed $d$-disk based on prescribed Fourier coefficients of its spectral density function $1/|p(z)|^2$. The conditions derived in t
Externí odkaz:
http://arxiv.org/abs/2101.00525
The relationship between a stable multivariable polynomial $p(z)$ and the Fourier coefficients of its spectral density function $1/|p(z)|^2$, is further investigated. In this paper we focus on the radial asymptotics of the Fourier coefficients for a
Externí odkaz:
http://arxiv.org/abs/2012.12980
Let $\mu_1$ be a complex number in the numerical range $W(A)$ of a normal matrix $A$. In the case when no eigenvalues of $A$ lie in the interior of $W(A)$, we identify the smallest convex region containing all possible complex numbers $\mu_2$ for whi
Externí odkaz:
http://arxiv.org/abs/2004.05288
Autor:
Grossmann, Ben W., Woerdeman, Hugo J.
We characterize the linear maps that preserve maximally entangled states in $L(\mathcal X \otimes \mathcal Y)$ in the case where $\dim(\mathcal X)$ divides $\dim(\mathcal Y)$.
Externí odkaz:
http://arxiv.org/abs/1909.05086
In semidefinite programming a proposed optimal solution may be quite poor in spite of having sufficiently small residual in the optimality conditions. This issue may be framed in terms of the discrepancy between forward error (the unmeasurable `true
Externí odkaz:
http://arxiv.org/abs/1908.04357
Hilbert's ternary quartic theorem states that every nonnegative degree 4 homogeneous polynomial in three variables can be written as a sum of three squares of homogeneous quadratic polynomials. We give a linear-algebraic approach to Hilbert's theorem
Externí odkaz:
http://arxiv.org/abs/1905.04751
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In this paper, we derive the augmented Biot-JKD equations, where the memory terms in the original Biot-JKD equations are dealt with by introducing auxiliary dependent variables. The evolution in time of these new variables are governed by ordinary di
Externí odkaz:
http://arxiv.org/abs/1805.00335