On the Boundary of the C-Numerical Range of a Matrix

Linear and Multilinear Algebra

Volumn 39, Issue 3, 1995, Pages 231-240

  Nakazato, Hiroshi ^a   Nishikawa, Yasutaka ^a   Takaguchi, Makoto ^a  

^a HIROSAKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041568175     PISSN: 03081087     EISSN: 15635139     Source Type: Journal    
DOI: 10.1080/03081089508818395     Document Type: Article

References (13)

1. C(A), Linear and Multilinear Algebra 19 (1986), 249–257.
2. N. Bebiano and J. Providência, On the boundary of the C-numerical range of a normal matrix, Linear and Multilinear Algebra 23 (1988), 145–157.
3. R. Benedetti and J. Risler, Real Algebraic and Semialgebraic Sets, Hermann, Paris (1990).
4. W. Fulton, Algebraic Curves, Benjamin, Massachusetts, London (1969).
5. A. Grary, Modern Differential Geometry of Curves and Surfaces, CRC Press, Boca Raton, London (1993).
6. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, New York (1991).
7. V. R. Kippenhahn, Über den Wertevorrat einer Matrix, Math. Nachr. 6 (1951), 193–228.
8. C. K. Li, The c-spectral, c-radial and c-convex matrices, Linear and Multilinear Algebra 20 (1986), 5–15.
9. C. K. Li, C-numerical ranges and C-numerical radii, Linear and Multilinear Algebra 37 (1994), 51–82.
10. C. K. Li, C. H. Sung and N. K. Tsing, c-Convex matrices: Characterizations, inclusion relations and normality, Linear and Multilinear Algebra 25 (1989), 275–287.
11. M. Marcus and C. Pesce, Computer generated numerical ranges and some resulting theorems, Linear and Multilinear Algebra 20 (1987), 121–157.
12. M. Namba, Geometry of Projective Algebraic Curves, Marcel Dekker, New York, Basel (1984).
13. R. Westwick, A theorem on numerical ranges, Linear and Multilinear Algebra 2 (1975), 311–315.