Spectral Properties of Sign Patterns Journal Articles

abstract

• In this paper, an infinite family of irreducible sign patterns that are spectrally arbitrary, for which the nilpotent-Jacobian method does not apply, is given. It is demonstrated that it is possible for an irreducible sign pattern to be refined inertially arbitrary and not spectrally arbitrary. It is observed that not every nonzero spectrally arbitrary pattern has a signing which is spectrally arbitrary. It is also shown that every superpattern of the reducible pattern $\T_2 \oplus \T_2$ is spectrally arbitrary.

authors

• Cavers, Michael
• Fischer, Jonathan
• Vander Meulen, Kevin

publication date

• April 2020

has subject area

• 0101 Pure Mathematics (FoR)
• Numerical & Computational Mathematics (Science Metrix)

published in

• Electronic Journal of Linear Algebra  Journal

keywords

• ARBITRARY
• Inertially arbitrary pattern
• Mathematics
• NONZERO PATTERNS
• Nilpotent-Jacobian method
• Nonzero pattern
• Physical Sciences
• Science & Technology
• Sign pattern
• Spectrally arbitrary pattern

Digital Object Identifier (DOI)

• 10.13001/ela.2020.5057

start page

• 183

end page

• 197

volume

• 36

issue

• 36