The C-numerical range of matrices is star-shaped

Linear and Multilinear Algebra

Volumn 41, Issue 3, 1996, Pages 245-250

  Cheung, Wai Shun ^a   Tsing, Nam Kiu ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444452075     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081089608818479     Document Type: Article

References (11)

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2. F. F. Bonsall and J. Duncan, Numerical Ranges II, Lecture Notes Series No. 10, Cambridge University Press, 1973.
3. M. Goldberg and E.G. Straus, Elementary inclusion relations for generalized numerical ranges, Linear Algebra Appl., 18, 1-18, 1977.
4. G. Hughes, A note on the shape of the generalized numerical range, Linear and Multilinear Algebra, 26, 43-47, 1990.
5. R. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.
6. R. Horn and C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
7. M.S. Jones, A note on the shape of the generalized C-numerical range, Linear and Multilinear Algebra, 31, 81-84, 1992.
8. C. K. Li, C-numerical ranges and C-numerical radii, Linear and Multilinear Algebra, 37, 51-82, 1991.
9. Y. T. Poon, Another proof of a result of Westwick, Linear and Multilinear Algebra, 9, 35-37, 1980.
10. N. K. Tsing, On the shape of the generalized numerical ranges, Linear and Multilinear Algebra, 10, 173-182, 1981.
11. R. Westwick, A theorem on numerical ranges, Linear and Multilinear Algebra, 2, 311-315, 1975.