A note on generalizations of strict diagonal dominance for real matrices |
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Authors: | M. Neumann |
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Affiliation: | Department of Mathematics The University of Nottingham Nottingham NG7 2RD, England |
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Abstract: | We investigate classes of real square matrices possessing some weakened from of strict diagonal dominance of a real matrix whose diagonal entries are all positive. The intersection of each one of these classes with the set of all real matrices, with nonpositive off-diagonal elements, coincides with the set of all nonsingular M- matrices. |
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