Abstract
Suppose A is an n × n matrix with real entries. We are concerned with the following question. When is A a product of M-matrices and inverses of M-matrices? First, some general results are elaborated. Then four special classes of matrices are investigated. For two of these classes, our considerations involve the determination when A is a product of M-matrices from these classes. The role of the exponential function for these classes is noted, and a conjecture is posed for a commuting class of M-matrices.
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