Eigenvalues of Nonnegative Symmetric Matrices

  title={Eigenvalues of Nonnegative Symmetric Matrices},
  author={Miroslav Fiedler},
  journal={Linear Algebra and its Applications},
  • M. Fiedler
  • Published 1974
  • Mathematics
  • Linear Algebra and its Applications
On the inverse eigenvalue problem of symmetric nonnegative matrices
In this paper, at first for a given set of real numbers with only one positive number, and in continue for a given set of real numbers in special conditions, we construct a symmetric nonnegative
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A Note on the Symmetric Nonnegative Inverse Eigenvalue Problem 1
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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On positive stochastic matrices with real characteristic roots
Suleῐmanova (3) describes a geometrical technique* for discussing the conditions under which a given set of n + 1 numbers can be a set of characteristic roots of a positive stochastic matrix of order
Suleimanova, Stochastic matrices with real eigenvalues (Russian)
  • Soviet Math. Dokl
  • 1949
A note on eigenvalues of nonnegative matrices, Lin
  • Alg. Appl
  • 1972
Lid&ii, On eigenvalues of the sum and product of symmetric matrices (Russian)
  • Soviet Math. Do&
  • 1950