Document Type
Article
Department/Program
Mathematics
Journal Title
Electronic Journal of Linear Algebra
Pub Date
2015
Volume
30
First Page
693
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.
Recommended Citation
Spitkovsky, Ilya M.; Spitkovsky, Ilya M.; and Thomas, Claire Marie, Line Segments on the Boundary of the Numerical Ranges of Some Tridiagonal Matrices (2015). Electronic Journal of Linear Algebra, 30, 693-703.
10.13001/1081-3810.3012
DOI
10.13001/1081-3810.3012
COinS
