Constructing Symmetric Nonnegative Matrices withPrescribed Eigenvalues by Di erential

  title={Constructing Symmetric Nonnegative Matrices withPrescribed Eigenvalues by Di erential},
  author={E T Chu},
We propose solving the inverse eigenvalue problem for symmetric nonnegative matrices by means of a di erential equation. If the given spectrum is feasible, then a symmetric nonnegative matrix can be constructed simply by following the solution curve of the di erential system. The choice of the vector eld is based on the idea of minimizing the distance between the cone of symmetric nonnegative matrices and the isospectral surface determined by the given spectrum. We explicitly describe the… CONTINUE READING
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