On some structured inverse eigenvalue problems

@article{Erra1997OnSS,
  title={On some structured inverse eigenvalue problems},
  author={Robert Erra and Bernard Philippe},
  journal={Numerical Algorithms},
  year={1997},
  volume={15},
  pages={15-35}
}
This work deals with various finite algorithms that solve two special Structured Inverse Eigenvalue Problems (SIEP). The first problem we consider is the Jacobi Inverse Eigenvalue Problem (JIEP): given some constraints on two sets of reals, find a Jacobi matrix J (real, symmetric, tridiagonal, with positive off-diagonal entries) that admits as spectrum and principal subspectrum the two given sets. Two classes of finite algorithms are considered. The polynomial algorithm which is based on a… CONTINUE READING

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