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Elliptical higher rank numerical range of some Toeplitz matrices

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Abstract The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions… Click to show full abstract

Abstract The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions are established under which tridiagonal matrices have elliptical rank-k numerical ranges.

Keywords: rank numerical; rank; higher rank; numerical range; matrices elliptical

Journal Title: Linear Algebra and its Applications
Year Published: 2018

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