The Arnoldi algorithms of function "Eigensystems" in Mathematica can be used to solve the eigenvalues of a Large Sparse non-Hermitian (non-symmetrical) Complex matrix?

  • $\begingroup$ I'm not entirely sure what your question is. Are you asking if Arnoldi algorithms can be used to solve sparse matrix problems in Mathematica? If so, yes. See the Method section under the Options section on the documentation page for Eigensystem. $\endgroup$ – b3m2a1 Aug 22 '18 at 2:25
  • $\begingroup$ Then the Arnoldi algorithms can be used for complex non-symmetrical matrix ? $\endgroup$ – Steven Aug 22 '18 at 5:37
  • 2
    $\begingroup$ Yes, it can be used to compute few eigenvalues and eigenvectors. Why don't you just try it? $\endgroup$ – Henrik Schumacher Aug 22 '18 at 7:20

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