A characterization of trace zero nonnegative 5×5 matrices

Linear Algebra and Its Applications

Volumn 302-303, Issue , 1999, Pages 295-302

  Laffey, Thomas J ^a   Meehan, Eleanor ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Cycles; Graph; Matrix; Nonnegative inverse eigenvalue problem; Petersen graph; Spectrum

Indexed keywords

EID: 0348050634     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(99)00099-3     Document Type: Article

References (6)

1. A. Berman, R. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979.
2. T.J. Laffey, E. Meehan, A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications, ELA 3 (1998) 119-128.
3. R. Loewy, D. London, A note on the inverse eigenvalue problems for nonnegative matrices, Linear and Multilinear Algebra 6 (1978) 83-90.
4. H. Mine, Nonnegative Matrices, Wiley, New York, 1988.
5. R. Reams, Topics in Matrix Theory, Thesis presented for the degree of Ph.D., National University of Ireland, Dublin, 1994.
6. R. Reams, An inequality for nonnegative matrices and the inverse eigenvalue problem, Linear and Multilinear Algebra 41 (1996) 367-375.