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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Generalized $M$-matrices and applications

Author: George D. Poole
Journal: Math. Comp. 29 (1975), 903-910
MSC: Primary 15A09
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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Keywords: <I>M</I>-matrix, monotone, generalized inverse, convergent splitting, nonnegative matrix
Article copyright: © Copyright 1975 American Mathematical Society