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- W2000285863 abstract "Let A be a square complex matrix. Several characterizations are found for A to be permutationally similar to a block-shift matrix. One interesting equivalent condition is that the numerical range of every matrix with the same zero pattern as A is a circular disk. Equivalent conditions for the characteristic polynomial of the hermitian part of the matrix e iθA to be the same for all real values θ are also obtained.Complex matrices of order four that are unitarily similar to a block-shift matrix are identified. A result of Marcus and Pesce [6] is extended, and an open question of Li and Tsing [4] is also answered partially." @default.
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- W2000285863 title "Circularity of numerical ranges and block-shift matrices" @default.
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- W2000285863 doi "https://doi.org/10.1080/03081089408818314" @default.
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