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Sign pattern
matrices that allow inertia $\mathbb{S}_{n}$
Adam H. Berliner, Derek DeBlieck and Deepak Shah
Vol. 12 (2019), No. 7, 1229–1240
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Abstract |
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Sign pattern matrices of order that allow inertias in the set are considered. All sign patterns of order 3 (up to equivalence) that allow are classified and organized according to their associated directed graphs. Furthermore, a minimal set of such matrices is found. Then, given a pattern of order that allows , a construction is given that generates families of irreducible sign patterns of order that allow . |
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Keywords
sign pattern, zero-nonzero pattern, inertia, digraph,
Jacobian
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Mathematical Subject Classification 2010
Primary: 15B35, 15A18, 05C50
Secondary: 05C20
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Milestones
Received: 29 January 2019
Revised: 8 June 2019
Accepted: 22 June 2019
Published: 12 October 2019
Communicated by Chi-Kwong Li
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Authors |
| Adam H. Berliner | |
| Department of Mathematics,
Statistics, and Computer Science St. Olaf College Northfield, MN United States |
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| Derek DeBlieck | |
| St. Olaf College Northfield, MN United States |
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| Deepak Shah | |
| St. Olaf College Northfield, MN United States |
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