Qualitatively Stable Matrices and Convergent Matrices
We review the basic known facts about stable matrices. Prom these and other, related, results we show some of the relationships that exist between qualitatively (sign) stable matrices and Hicksian stable matrices. We also show that the relationship between stable matrices and convergent matrices can be viewed essentially as a problem on inverses. Finally we derive a variety of results about inverses of sign stable matrices and use these to obtain information about the properties of corresponding convergent matrices.
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