On Inversion of Symmetric Toeplitz Matrices
Leiba Rodman, Tamir Shalom · SIAM Journal on Matrix Analysis and Applications · 1992
It is shown that the inverse of a symmetric Toeplitz matrix is determined by at most two of its columns, when properly chosen. A formula for the inverse matrix is given in terms of these columns, generalizing the version of the Gohberg–Semencul formula for the symmetric case. Similar results for the Hermitian case are also given.