منابع مشابه
Some results on the polynomial numerical hulls of matrices
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
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In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.
متن کاملPolynomial hulls and positive currents
We extend the Wermer’s theorem, to describe the polynomial hull of compact sets lying on the boundary of a smooth strictly convex domain of Cn. We also extend the result to polynomial p-hulls and apply it to get properties of pluriharmonic or p.s.h. positive currents. RÉSUMÉ. Nous décrivons à la suite des travaux de Wermer, l’enveloppe polynomiale des ensembles compacts contenus dans le bord d’...
متن کاملThe Hyper-Wiener Polynomial of Graphs
The distance $d(u,v)$ between two vertices $u$ and $v$ of a graph $G$ is equal to the length of a shortest path that connects $u$ and $v$. Define $WW(G,x) = 1/2sum_{{ a,b } subseteq V(G)}x^{d(a,b) + d^2(a,b)}$, where $d(G)$ is the greatest distance between any two vertices. In this paper the hyper-Wiener polynomials of the Cartesian product, composition, join and disjunction of graphs are compu...
متن کاملEla Polynomial Numerical Hulls of Order
In this note, analytic description of V 3 (A) is given for normal matrices of the form A = A 1 ⊕ iA 2 or A = A 1 ⊕ e i 2π 3 A 2 ⊕ e i 4π 3 A 3 , where A 1 , A 2 , A 3 are Hermitian matrices. The new concept " k th roots of a convex set " is used to study the polynomial numerical hulls of order k for normal matrices.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1991
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1991.147.201