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Sign pattern matrices that allow a nilpotent matrix

Published online by Cambridge University Press:  17 April 2009

Lina Yeh
Lina Yeh
Affiliation:
Department of MathematicsSoochow UniversityTaipei, Taiwan 11102Taiwan
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We characterise some star sign pattern matrices and linear tree sign pattern matrices that allow a nilpotent matrix.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 2 , April 1996 , pp. 189 - 196
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Chang, S.C., ‘On potentially nilpotent sign patterns’, (preprint).Google Scholar
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[3]Eschenbach, C.A. and Johnson, C.R., ‘Sign patterns that require real, nonreal or pure imaginary eigenvalues’, Linear and Multilinear Algebra 29 (1991), 299–311.CrossRefGoogle Scholar
[4]Johnson, C.R. and Jeffries, C., ‘Some sign patterns that preclude matrix stability’, SIAM J. Matrix Anal. Appl. 9 (1988), 19–25.Google Scholar