Pereira, Rajesh

Nilpotent matrices and spectrally arbitrary sign patterns

Electron. J. Linear Algebra 16, 232-236, electronic only (2007)

Summary

Summary: It is shown that all potentially nilpotent full sign patterns are spectrally arbitrary. A related result for sign patterns all of whose zeros lie on the main diagonal is also given.

Mathematics Subject Classification

15A18

Keywords/Phrases

nilpotent matrices, potentially nilpotent sign patterns, spectrally arbitrary sign patterns

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