Showing papers by "Takehiro Mori published in 1983"
TL;DR: In this paper, a generalization of the upper and lower bounds for the discrete Lyapunov matrix equation with respect to each eigenvalue of the solution to the discrete matrix equation has been presented.
Abstract: Upper and lower bounds for each eigenvalue of the solution to the discrete Lyapunov matrix equation have been reported (Mori et al. 1982 b). A generalization of this result will be presented in this note.
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TL;DR: In this paper, the condition for the characteristic roots of a real matrix to lie within a sector was generalized to a condition for a matrix of doubled order to be Hurwitzian.
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.