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On the Conditions for the Characteristic Roots of a Matrix in a Sector
Authors:Takehiro Mori  Norio Fukuma  Michiyoshi Kuwahara
Institution:Automation Research Laboratory, Faculty of Engineering, Kyoto University, Gokasho, Uji, Kyoto 611, Japan;Kyoto University of Education, Fushimi-ku, Kyoto 612, Japan;Automation Research Laboratory, Faculty of Engineering, Kyoto University, Gokasho, Uji, Kyoto 611, Japan
Abstract:Davison and Ramesh expressed equivalently the condition for the characteristic roots of a real matrix to lie within a sector by the condition for a matrixof doubled order to be Hurwitzian (1). A further generalization of their result is given in this note.
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