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Original Articles

The boundary of the q-numerical range of a reducible matrix

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Pages 275-292 | Received 03 Jan 2006, Accepted 21 Aug 2006, Published online: 30 Jan 2007

References

  • Chien , MT and Nakazato , H . 1999 . Boundary generating curves of the c -numerical range. . Linear Algebra Application , 294 : 67 – 84 .
  • Chien , MT and Nakazato , H . 2005 . The q -numerical ranges of normal operators. . Linear and Multilinear Algebra , 53 : 393 – 416 .
  • Chien , MT and Nakazato , H . 2005 . General polynomial representing the boundary of the q-numerical range of a reducible 3 × 3 matrix . CD-rom.
  • Chien , MT and Nakazato , H . The q-numerical range of a reducible matrix via a normal operator. . Linear Algebra Application , (To appear).
  • Chien , MT , Nakazato , H and Psarrakos , P . 2006 . The q-numerical range and the Davis-Wielandt shell of reducible 3-by-3 matrices. . Linear and Multilinear Algebra , 54 : 79 – 112 .
  • Choi , MD and Li , CK . 2001 . Constrained unitary dilations and numerical range. . Journal of Operator Theory , 46 : 435 – 447 .
  • Kippenhahn , R . 1951 . Uber den wertevorrat einer matrix. . Mathematische Nachrichten , 6 : 193 – 228 .
  • Li , CK . 1998 . Some convexity theorems for the generalized numerical ranges. . Linear and Multilinear Algebra , 43 : 385 – 409 .
  • Li , CK . 2005 . A computer program plotting the q-numerical range of a matrix. . http://www.math.wm.edu/~ckli/wqrange.html
  • Li , CK and Nakazato , H . 1996 . Some results on the q-numerical range. . Linear and Multilinear Algebra , 40 : 235 – 240 .
  • Nakazato , H . 1994 . The C-numerical range of a 2 × 2 matrix. . Science Reports, Hirosaki University , 41 : 197 – 206 .
  • Nakazato , H . 1995 . The boundary of the range of a constrained sesquilinear form. . Linear and Multilinear Algebra , 40 : 37 – 43 .
  • Nakazato , H , Nishikawa , Y and Takaguchi , M . 1995 . On the boundary of the c-numerical range of a marix. . Linear and Multilinear Algebra , 39 : 231 – 240 .
  • Tsing , NK . 1984 . The constrained bilinear form and the C-numerical range. . Linear Algebra Appl , 56 : 195 – 206 .
  • Walker , R . 1950 . Algebraic Curves , New York : Dover Publ .

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