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Linear and Multilinear Algebra Volume 28, 1991 - Issue 4
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Original Articles

On the kth matrix numerical range

Chi-Kwong Li Department of Mathematics, The College of William and Mary, Williamsburg, Virginia, 23187-8795
&
Nam-Kiu Tsing Systems Research Center and Electrical Engineering Department, University of Maryland, College Park, 20742, Maryland
Pages 229-239 | Received 25 Oct 1989, Published online: 02 Apr 2008

References

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  • Li , C. K. 1986 . The decomposable numerical radius and numerical radius of a compound matrix . Linear Algebra Appl. , 80 : 55 – 70 .
  • Li , C. K. , Tam , B. S. and Tsing , N. K. 1988 . Linear operators preserving the (p,q)-numerical range . Linear Algebra Appl. , 110 : 75 – 89 .
  • Li , C. K. and Tsing , N. K. 1989 . The numerical range of derivations . Linear Algebra Appl. , 119 : 97 – 119 .
  • Marshall , A. W. and Olkin , I. 1979 . Inequalities: Theory of Majorizations and Its Applications , Orland : Academic Press .
  • Thompson , R. C. 1972 . Principal submatrices IX: Interlacing inequalities for singular values of submatrices . Linear Algebra Appl. , 5 : 1 – 12 .
  • Thompson , R. C. 1987 . Research problem: The matrix numerical range . Linear and Multilinear Algebra , 21 : 321 – 323 .
  • Williams , J. P. 1971 . On compressions of matrices . J. London Math. Soc. , 3 : 526 – 530 .

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