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26. CMB 1998 (vol 41 pp. 178)

Krupnik, Ilya; Lancaster, Peter
Minimal pencil realizations of rational matrix functions with symmetries
A theory of minimal realizations of rational matrix functions $W(\lambda)$ in the ``pencil'' form $W(\lambda)=C(\lambda A_1-A_2)^{-1}B$ is developed. In particular, properties of the pencil $\lambda A_1-A_2$ are discussed when $W(\lambda)$ is hermitian on the real line, and when $W(\lambda)$ is hermitian on the unit circle.

Categories:93Bxx, 15A23

27. CMB 1998 (vol 41 pp. 105)

So, Wasin
An explicit criterion for the convexity of quaternionic numerical range
Quaternionic numerical range is not always a convex set. In this note, an explicit criterion is given for the convexity of quaternionic numerical range.

Categories:15A33, 15A60
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