Sign patterns that require real, nonreal or pure imaginary eigenvalues
- 1 July 1991
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 29 (3-4) , 299-311
- https://doi.org/10.1080/03081089108818079
Abstract
We characterize the n-by-n sign pattern matrices that require all real, all nonreal, and all pure imaginary eigenvalues. Characterization of sign patterns that allow a real eigenvalue and those that allow a nonreal eigenvalue then follow. Some related specialized results and a characterization of sign patterns that allow a positive real eigenvalue are included.Keywords
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