Sets of refined inertias of zero–nonzero patterns
A set Hn⁎ of refined inertias for zero–nonzero patterns is introduced that is analogous to the set Hn previously considered for sign patterns. For n=3 and 4, a complete characterization of irreducible zero–nonzero patterns that allow or require Hn⁎ is given, and each zero–nonzero pattern that allows...
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| Veröffentlicht in: | Linear algebra and its applications 2017-03, Vol.516, p.243-263 |
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| container_title | Linear algebra and its applications |
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| creator | Berliner, Adam H. Olesky, D.D. van den Driessche, P. |
| description | A set Hn⁎ of refined inertias for zero–nonzero patterns is introduced that is analogous to the set Hn previously considered for sign patterns. For n=3 and 4, a complete characterization of irreducible zero–nonzero patterns that allow or require Hn⁎ is given, and each zero–nonzero pattern that allows Hn⁎ has a signing that allows Hn. In contrast, for n≥5 a family of irreducible zero–nonzero patterns is given that allows Hn⁎ but for which no one signing allows Hn. |
| doi_str_mv | 10.1016/j.laa.2016.11.040 |
| format | Article |
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| ispartof | Linear algebra and its applications, 2017-03, Vol.516, p.243-263 |
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| subjects | Digraph Eigenvalues Graphs Inertia Linear algebra Refined inertia Sign pattern Zero–nonzero pattern |
| title | Sets of refined inertias of zero–nonzero patterns |
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