most recent 30 from http://mathoverflow.net 2013-06-18T22:00:54Z http://mathoverflow.net/feeds/question/94988 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/94988/matrix-theoretic-terminology-query Felix Goldberg 2012-04-23T23:54:56Z 2012-04-23T23:54:56Z

<p>Is there an accepted term for the following property?</p> <p>Let $A$ be a real matrix such that all entries of the eigenvector corresponding to the least eigenvalue have the same sign.</p> <p>NOTES: (1) The case of multiple eigenvalues might be messy, I don't mind disregarding it at this stage. (2) irreducible Z-matrices, negatives of eventually positive matrices, and inverse-positive matrices all have this property - what I'm looking for is a more general name.</p> <p>If no standard name comes up, what do you think of the name "minpositive"?</p>