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On the Construction of Nonnegative 5×5 Matrices from Spectrum Data

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Abstract:

This paper studies the construction problems of five order nonnegative matrices from spectrum data. Let be a list of complex numbers with . Necessary and sufficient conditions for the existence of an entry-wise nonnegative 5×5 matrix with spectrum are presented.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

621-624

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.621

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Online since:

October 2013

Authors:

Zhi Bing Liu, Zhen Tu, Cheng Feng Xu

Keywords:

Nonnegative Inverse Eigenvalue Problem, Nonnegative Matrix, Spectrum

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] A. Berman, R. Plemmons, Nonnegative Matrices in the Mathematical Sciences , Academic Press, New York, (1979).

Google Scholar

[2] P.D. Egleston, T.D. Lenker and S.K. Narayan, The nonnegative inverse eigenvalue problem, Linear Algebra Appl., vol. 379, 2004, pp.475-490.

DOI: 10.1016/j.laa.2003.10.019

Google Scholar

[3] C. Johnson, Row stochastic matrices similar to doubly stochastic matrices, Linear and Multilinear Algebra, vol. 10, 1981, pp.113-130.

DOI: 10.1080/03081088108817402

Google Scholar

[4] T.J. Laffey, E. Meehan, A characterization of trace zero nonnegative matrices , Linear Algebra Appl., vol. 302/303, 1999, pp.295-302.

DOI: 10.1016/s0024-3795(99)00099-3

Google Scholar

[5] R. Loewy, D. London, A note on the inverse eigenvalue problems for nonnegative matrices, Linear and Multilinear Algebra, vol. 6, 1978, pp.83-90.

DOI: 10.1080/03081087808817226

Google Scholar

[6] H. Mine, Nonnegative Matrices, Wiley, New York, (1988).

Google Scholar

[7] R. Reams, An inequality for nonnegative matrices and the inverse eigenvalue problem, Linear and Multilinear Algebra, vol. 41, 1996, pp.367-375.

DOI: 10.1080/03081089608818485

Google Scholar

[8] O. Spector, A characterization of trace zero symmetric nonnegative matrices , Linear Algebra Appl., vol. 434, 2011, pp.1000-1017.

DOI: 10.1016/j.laa.2010.10.006

Google Scholar

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