A note on the nonzero spectra of irreducible matrices

摘要

In this note we extend the necessary and sufficient conditions of Boyle-Handleman [M. Boyle and D. Handelman, The spectra of nonnegative matrices via symbolic dynamics, Ann. Math. 133 (1991), pp. 249-316] and Kim-Ormes-Roush [K.H. Kim, N.S. Ormes, and F.W. Roush, The spectra of nonnegative integer matrices via formal power series, J. Am. Math. Soc. 13 (2000), pp. 773-806] for a nonzero eigenvalue multiset of primitive matrices over ₊ and Z ₊, respectively, to irreducible matrices.View full textDownload full textKeywordsnonnegative inverse eigenvalue problem, primitive matrices, Boyle-Handelman conditions, Kim-Ormes-Roush conditionsAMS Subject Classifications:15A18, 15A29, 15A42, 15B36, 15B48Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/03081087.2011.616203