نتایج جستجو برای: numerical range
تعداد نتایج: 975001 فیلتر نتایج به سال:
We analyze the numerical range of high-dimensional random matrices, obtaining limit results and corresponding quantitative estimates in the non-limit case. For a large class of random matrices their numerical range is shown to converge to a disc. In particular, numerical range of complex Ginibre matrix almost surely converges to the disk of radius √ 2. Since the spectrum of non-hermitian random...
In this paper, we introduce the notions of C-numerical range and C-spectrum of matrix polynomials. Some algebraic and geometrical properties are investigated. We also study the relationship between the C-numerical range of a matrix polynomial and the joint C-numerical range of its coefficients.
We show that the q-numerical range and the real q-numerical range of the unilateral shift and bilateral shift and their adjoints are the closed unit disc when jqj < 1. We also consider some weighted shifts.
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