Construction of a Hermitian Toeplitz matrix from an arbitrary set of eigenvalues
Fazal Noor, S.D. Morgera · IEEE Transactions on Signal Processing · 1992
A solution to the inverse eigenvalue problem for Hermitian Toeplitz matrices is presented. The approach taken is to first construct a real symmetric negacyclic matrix of order 2n and to then relate the negacyclic matrix to a Hermitian Toeplitz matrix of order n with the desired eigenspectrum.>