Nonnegative matrices with power invariant zero patterns |
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| Authors: | Michael W. Stadelmaier Nicholas J. Rose George D. Poole Carl D. Meyer |
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| Affiliation: | Department of Mathematics North Carolina State University Raleigh, North Carolina 27650, USA;Department of Mathematics Emporia State University Emporia, Kansas 66801, USA;Department of Mathematics North Carolina State University Raleigh, North Carolina 27650, USA |
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| Abstract: | If A is a nonsingular M-matrix, the elements of the sequence {A?k} all have the same zero pattern. Using the Drazin inverse, we show that a similar zero pattern invariance property holds for a class of matrices which is larger than the generalized M-matrices. |
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