Abstract
This is an introduction to some aspects of the numerical linear algebra of large matrices with Toeplitz, Hankel, and Toeplitz-plus-Hankel structures. The concrete topics we have selected are determined by our preferences and by work we have participated in. We give an introduction to the symbol calculus, we touch exact and asymptotic formulas for inverses, including the notion of a Bezoutian, we consider eigenvalues, pseudospectra, eigenvectors, and condition numbers, and we embark on the fast solution of Toeplitz systems.
