Potentially nilpotent and spectrally arbitrary even cycle sign patterns

Spectrally and inertially arbitrary sign

Spectrally and inertially arbitrary sign patterns

✍ Michael S. Cavers; Kevin N. Vander Meulen 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 269 KB

We introduce some n-by-n sign patterns which allow for arbitrary spectrum and hence also arbitrary inertia. Consequently, we demonstrate that some known inertially arbitrary patterns are in fact spectrally arbitrary. We demonstrate that all inertially arbitrary patterns of order 3 are spectrally arb