Finite sections of toeplitz-like matrices

Determinants of large finite sections of Toeplitz and Toeplitz-like matrices are evaluated by an expansion in which the deviation from the identity is parametrically increased. Classical results are reproduced and the inverse matrix expanded as well. The expansion is asymptotically valid only for low-order terms, and so a reordered expansion is introduced. It has the desired asymptotic character and suggests that sharp bounds are also available.