Perron–Frobenius type results on the numerical range
نویسندگان
چکیده
منابع مشابه
Some results on the block numerical range
The main results of this paper are generalizations of classical results from the numerical range to the block numerical range. A different and simpler proof for the Perron-Frobenius theory on the block numerical range of an irreducible nonnegative matrix is given. In addition, the Wielandt's lemma and the Ky Fan's theorem on the block numerical range are extended.
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15 صفحه اولPerron-Frobenius Type Results on the Numerical Range
We present results connecting the shape of the numerical range to intrinsic properties of a matrix A. When A is a nonnegative matrix, these results are to a large extent analogous to the Perron-Frobenius theory, especially as it pertains to irreducibility and cyclicity in the combinatorial sense. Special attention is given to polygonal, circular and elliptic numerical ranges. The main vehicles ...
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Let $V$ be an $n$-dimensional complex inner product space. Suppose $H$ is a subgroup of the symmetric group of degree $m$, and $chi :Hrightarrow mathbb{C} $ is an irreducible character (not necessarily linear). Denote by $V_{chi}(H)$ the symmetry class of tensors associated with $H$ and $chi$. Let $K(T)in (V_{chi}(H))$ be the operator induced by $Tin text{End}(V)$. Th...
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let $v$ be an $n$-dimensional complex inner product space. suppose $h$ is a subgroup of the symmetric group of degree $m$, and $chi :hrightarrow mathbb{c} $ is an irreducible character (not necessarily linear). denote by $v_{chi}(h)$ the symmetry class of tensors associated with $h$ and $chi$. let $k(t)in (v_{chi}(h))$ be the operator induced by $tin text{end}(v)$. the...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2002
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00574-2