Nonnegative matrix equations having positive solutions
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- by Jerry A. Walters PDF
- Math. Comp. 23 (1969), 827 Request permission
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 ${A^{ - 1}}y$.References
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 827
- MSC: Primary 65.35
- DOI: https://doi.org/10.1090/S0025-5718-1969-0258264-4
- MathSciNet review: 0258264