On Open Problems of Nonnegative Inverse Eigenvalues Problem - Advances in Pure Mathematics

APM > Vol.1 No.4, July 2011

On Open Problems of Nonnegative Inverse Eigenvalues Problem ()

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DOI: 10.4236/apm.2011.14025 7,125 Downloads 15,628 Views Citations

Author(s)

Jun-Liang Wu

Affiliation(s)

ABSTRACT

In this paper, we give solvability conditions for three open problems of nonnegative inverse eigenvalues problem (NIEP) which were left hanging in the air up to seventy years. It will offer effective ways to judge an NIEP whether is solvable.

KEYWORDS

Inverse Eigenvalues Problem, Nonnegative Inverse Eigenvalues Problem, Solvability, Nonnegative Matrix, Spectrum of Matrix

Share and Cite:

J. Wu, "On Open Problems of Nonnegative Inverse Eigenvalues Problem," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 128-132. doi: 10.4236/apm.2011.14025.

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