Abstract
Stable matrices are related to the values of their entries by the concept of an all negative quasi-dominant diagonal. Stable matrices are related to the signs of their entries by the signs of cycles in their corresponding signed directed graphs. This paper establishes relationships between stable matrices and conditions on the values of cycles. For some cases the conditions on the values of cycles are satisfied if and only if the matrix has a quasi-dominant diagonal.
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Lady, G.M. Detecting stable matrices. Ann Math Artif Intell 17, 29–36 (1996). https://doi.org/10.1007/BF02284623
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DOI: https://doi.org/10.1007/BF02284623