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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Nonnegative matrix equations having positive solutions


Author: Jerry A. Walters
Journal: Math. Comp. 23 (1969), 827
MSC: Primary 65.35
MathSciNet review: 0258264
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Abstract: Suppose à is a nonnegative invertible matrix with a positive diagonal Diag $ (\bar A) > 0$ and $ \bar y > 0$ is a positive vector. Let $ A = {D^{ - 1}}\tilde A$ and $ y = {D^{ - 1}}\tilde y$. If $ 0 < 2y - Ay$ , then $ 2y - Ay \leqq x \leqq y$, where $ {A^{ - 1}}y$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1969-0258264-4
PII: S 0025-5718(1969)0258264-4
Article copyright: © Copyright 1969 American Mathematical Society