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IMA Journal of Mathematical Control and Information 1986 3(1):21-27; doi:10.1093/imamci/3.1.21
© 1986 by Institute of Mathematics and its Applications
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Admissible Regions for Root Clustering

SHAUL GUTMAN

Department of Mechanical Engineering, Technion-Israel Institute of Technology Haifa, Israel

Given A {varepsilon} Cnxn and an algebraic region A, we find necessary and sufficient conditions for the inclusion {sigma}(A) A, where {sigma}(A) is the spectrum of A. We present a general test based on the composite matrix approach. This test handles a large class of regions, including those previously treated in the literature.


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