Stability of M-matrix products
Date
2010-04-15T22:00:54Z
Authors
Johnson, Charles R.
Olesky, D. D.
Van den Driessche, P.
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Abstract
We investigate various types of stability for powers and products of nonsingular M-matrices. Stability of the matrix powers is categorized according to the length of the longest simple circuit in the digraph of the matrix, while stability of the general products is categorized by the order of the matrices. Additional results are given regarding stability of the Hadamard product of M-matrices and for matrices whose digraph has a longest simple circuit of length two.