Some analogies between the c-numerical range and a certain variation on this concept

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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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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 1986

ISSN: 0024-3795

DOI: 10.1016/0024-3795(86)90248-x