Bordering for spectrally arbitrary sign patterns
We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This technique generalizes a recently developed triangle extension method. We describe recursive constructions of spectrally...
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| Veröffentlicht in: | Linear algebra and its applications 2017-12, Vol.534, p.36-50 |
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| container_title | Linear algebra and its applications |
| container_volume | 534 |
| creator | Olesky, D.D. van den Driessche, P. Vander Meulen, K.N. |
| description | We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This technique generalizes a recently developed triangle extension method. We describe recursive constructions of spectrally arbitrary patterns using our bordering technique, and show that a slight variation of this technique can be used to construct inertially arbitrary sign patterns. |
| doi_str_mv | 10.1016/j.laa.2017.08.006 |
| format | Article |
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| ispartof | Linear algebra and its applications, 2017-12, Vol.534, p.36-50 |
| issn | 0024-3795 1873-1856 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Inertially arbitrary pattern Linear algebra Matrix Nilpotent matrix Nilpotent-Jacobian method Polynomials Recursive methods Spectra Spectrally arbitrary pattern |
| title | Bordering for spectrally arbitrary sign patterns |
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