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math.FA2013
Zero-dilation Index of a Finite Matrix
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu
For an -by- complex matrix , we define its zero-dilation index as the largest size of a zero matrix which can be dilated to . This is the same as the maximum …
math.FA2013
Numerical Ranges of KMS Matrices
Hwa-Long Gau, Pei Yuan Wu
A KMS matrix is one of the form $$J_n(a)=[{array}{ccccc} 0 & a & a^2 &... & a^{n-1} & 0 & a & \ddots & \vdots & & \ddots & \ddots & a^2 & & & \ddots & a 0 & & & & 0{array}]$$ for $…