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The Possible Shapes of Numerical Ranges

Helton, J. William
; 
Spitkovsky, I. M.
Abstract
Which convex subsets of C are the numerical range W(A) of some matrix A? This paper gives a precise characterization of these sets. In addition to this we show that for any A there exists a symmetric B of the same size such that W(A) = W(B) thereby settling an open question from [2].
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2012-01-01
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Mathematics
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The_Possible_Shapes_of_Numerical_Ranges.pdf
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Mathematics
DOI
10.7153/oam-06-41
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https://scholarworks.wm.edu/handle/internal/672
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