March 1994
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74 Reads
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466 Citations
The Mathematical Gazette
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... There are several other reasons to justify the interest in studying MSDs. One of them is the relationship between MSDs and nearly reducible (0, 1)-matrices (via the adjacency matrix; see, for instance, [3,4]) and the non-negative inverse eigenvalue problem (see [5]): given real numbers k 1 , k 2 , . . . , k n , find the necessary and sufficient conditions for the existence of a non-negative matrix A of order n with characteristic polynomial x n + k 1 x n−1 + k 2 x n−2 + · · · + k n . ...
- Citing Article
March 1994
The Mathematical Gazette