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Mathematics of Computation

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Generalized $ M$-matrices and applications


Author: George D. Poole
Journal: Math. Comp. 29 (1975), 903-910
MSC: Primary 15A09
DOI: https://doi.org/10.1090/S0025-5718-1975-0369384-0
MathSciNet review: 0369384
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Abstract: Recently, two distinct directions have been taken in an attempt to generalize the definition of an M-matrix. Even for nonsingular matrices, these two generalizations are not equivalent. The role of these and other classes of recently defined matrices is indicated showing their usefulness in various applications.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1975-0369384-0
Keywords: M-matrix, monotone, generalized inverse, convergent splitting, nonnegative matrix
Article copyright: © Copyright 1975 American Mathematical Society