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IMA Journal of Mathematical Control and Information 1989 6(3):275-288; doi:10.1093/imamci/6.3.275
© 1989 by Institute of Mathematics and its Applications
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Root-Clustering Criteria (I): The Composite-Matrix Approach

SHAUL GUTMAN and FABIEN CHOJNOWSKI

Department of Mechanical Engineering, Techion – Israel Institute of Technology Haifa, Israel

In a series of articles we investigate different approaches to root clustering criteria. In particular, given A {varepsilon} Cnxn and an algebraic region A C, we are looking for a criterion (a single set of inequalities) ensuring the inclusion {Sigma}(A) A. Here, in the first article, we collect previous ideas on transformable regions and composite matrices, state new results, and correct and refine others.


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