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Original Articles

Lucas' theorem and numerical range

Pages 687-691 | Received 15 Jan 2009, Accepted 23 Jul 2009, Published online: 31 Mar 2011

References

  • Calbeck , W . 2008 . Elliptic numerical ranges of 3 × 3 companion matrices . Linear Algebra Appl. , 428 : 2715 – 2722 .
  • Chen , YT . 2007 . Numerical ranges of companion matrices and normal operators , Master Thesis Taiwan : National Chiao Tung University . Available at http://etd.lib.nctu.edu.tw/cgi-bin/gs/tugsweb.cgi?o=dnctucdr&i=sGT009422520.id
  • Gau , HL and Wu , PY . 1999 . Lucas' theorem refined . Linear Multilinear Alg. , 45 : 359 – 373 .
  • Gustafson , KE and Rao , DKM . 1997 . Numerical Range: The Field of Values of Linear Operators and Matrices , New York : Springer .
  • Horn , R and Johnson , CR . 2006 . Matrix Analysis , Cambridge : Cambridge University Press .
  • Tan , C and Meng , Z . 2008 . Numerical ranges of 4 × 4 reducible companion matrices . Int. J. Algebra , 18 : 889 – 893 .
  • Zemanek , J . 2003 . The derivative and linear algebra , 207 – 212 . Krakow : Kolo Mlodych Matematykow, Ogolnopolskie Warsztaty, dla Mlodych Matematykow .

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