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Line Segments on the Boundary of the Numerical Ranges of Some Tridiagonal Matrices

Spitkovsky, Ilya M.
; 
Spitkovsky, Ilya M.
; 
Thomas, Claire Marie
Abstract
Tridiagonal matrices are considered for which the main diagonal consists of zeroes, the sup-diagonal of all ones, and the entries on the sub-diagonal form a geometric progression. The criterion for the numerical range of such matrices to have line segments on its boundary is established, and the number and orientation of these segments is described.
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2015-01-01
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Mathematics
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Mathematics
DOI
10.13001/1081-3810.3012
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https://scholarworks.wm.edu/handle/internal/1954
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