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Details for article 14 of 14 found articles
| Title: |
Sign patterns that require exactly one real eigenvalue and patterns that require n-1 nonreal eigenvalues |
| Author: |
Eschenbach, Carolyn A. |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 35 (1993) nr. 3-4 pages 213-223 |
| Year: |
1993-08 |
| Contents: |
We characterize the class π of all odd dimensional n-by-n sign pattern matrices that require exactly one real eigenvalue (exactly n-1 nonreal eigenvalues). Since more restrictions are needed on the odd cycles in the sign singular patterns in π, and in patterns that allow singularity in π, we give our characterization on three theorems; namely, one theorem to characterize the sign singular patterns in π; one theorem to characterize the patterns in π that allow singularity; and, finally, one theorem to characterize the sign nonsingular patterns in π. Next we combine our results with a previously established characterization of the sign patterns that require n nonreal eigenvalues, and we characterize the sign patterns that require, at leastn-1 nonreal eivenvalues. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 14 of 14 found articles
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