A new proof of a theorem on M-matrices

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Geskus, Ronald B.

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Linear Algebra and Its Applications | 2002年 / 348卷 / 1-3期

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We provide a new and simpler proof of the following result by J.P. Milaszewicz and L.P. Moledo [Linear Algebra Appl. 195 (1993) 1]. Consider the equation Ax = y, with A a non-singular M-matrix. Suppose that yK does not equal 0 for each nucleus K, and that xi > 0 whenever yi less than or equal 0. Then x has only positive coordinates. The same method is used to prove their results on bounds for the solutions. Moreover, the conditions are weakened. © 2002 Elsevier Science Inc. All rights reserved.

引用

页码：139 / 144

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