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Given a fixed symmetric matrix $S$, can one change the spectrum of $S$ to any desired set of eigenvalues $\{\lambda_1,\dots,\lambda_n\}$ by adding a diagonal matrix $D$ to $S$?

  • 0
    Unfortunately not.2011-10-18
  • 0
    For a special case take a look at [this](http://math.stackexchange.com/questions/56771/)2011-10-18

4 Answers 4