# Eigenvalues of Nonnegative Symmetric Matrices

```@article{Fiedler1974EigenvaluesON,
title={Eigenvalues of Nonnegative Symmetric Matrices},
author={Miroslav Fiedler},
journal={Linear Algebra and its Applications},
year={1974},
volume={9},
pages={119-142}
}```
• M. Fiedler
• Published 1974
• Mathematics
• Linear Algebra and its Applications
146 Citations
On the inverse eigenvalue problem of symmetric nonnegative matrices
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• 2019
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• 2013
Given a list of real numbers ∧={λ1,…, λn}, we determine the conditions under which ∧will form the spectrum of a dense n × n singular symmetric matrix. Based on a solvability lemma, an algorithm to
A Note on the Symmetric Nonnegative Inverse Eigenvalue Problem 1
• Mathematics
• 2011
The symmetric nonnegative inverse eigenvalue problem is the problem of characterizing all possible spectra of n × n symmetric entrywise nonnegative matrices. The problem remains open for n ≥ 5. A

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