Abstract
AbstractTwo characterizations of general matrices for which the spectral radius is an eigenvalue and the corresponding eigenvector is either positive or nonnegative are presented. One is a full characterization in terms of the sign of the entries of the spectral projector. In another case, different necessary and sufficient conditions are presented that relate to the classes of the matrix. These characterizations generalize well‐known results for nonnegative matrices. Copyright © 2009 John Wiley & Sons, Ltd.
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