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Linear and Multilinear Algebra Volume 60, 2012 - Issue 11-12: Special Issue in memory of Professor Ky Fan
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Original Articles

Numerical ranges of companion matrices: flat portions on the boundary

Jeffrey Eldred Department of Physics, Indiana University, Bloomington, IN 47408, USA
,
Leiba Rodman Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA
&
Ilya Spitkovsky Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USACorrespondence[email protected] [email protected]
Pages 1295-1311 | Received 14 Jul 2011, Accepted 17 Oct 2011, Published online: 28 Nov 2011

References

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  • Kippenhahn , R . 2008 . On the numerical range of a matrix . Linear Multilinear Algebra , 56 : 185 – 225 . (translated from the German by Paul F. Zachlin and Michiel E. Hochstenbach)
  • Rodman , L and Spitkovsky , IM . 2005 . 3 × 3 matrices with a flat portion on the boundary of the numerical range . Linear Algebra Appl. , 397 : 193 – 207 .
  • Toeplitz , O . 1918 . Das algebraische Analogon zu einen Satz von Fejér . Math. Z. , 2 : 187 – 197 .

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