Reduction of joint c-numerical ranges

M.T. Chien and H. Nakazato

Applied Mathematics and Computation, 2014, vol. 232, issue C, 178-182

Abstract: Let (H1,H2,…,Hm) be an m-tuple of n-by-n Hermitian matrices and c∈Rn. We investigate the reduction problem of the joint c-numerical range Wc(H1,H2,…,Hm). In particular, for m=3 and n⩾3, we prove that Wc(H1,H2,H3) is attainable by the joint numerical range W(K1,K2,K3) for some triple Hermitian matrices (K1,K2,K3).

Keywords: Joint c-numerical range; Reduction; Compound matrix; Robust control (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:178-182

DOI: 10.1016/j.amc.2014.01.067

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