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Is the Maximal eigenvalue of $A+B $ greater than that of $A$?

By ExtraProxies | Proxy Feed | Comments are Closed | 9 November, 2017 | 0

$ A$ and $ B$ are nonegative n×n matrices, $ A$ is irreducible and $ B$ is nonzero matrix. I want to prove that the maximal eigenvalue of $ A+B$ is greater than that of $ A$ . We know that the maximal eigenvalue of a reducible matrix is nonegative and that of a irreducibleRead more

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