Explicit inverses of Toeplitz and associated matrices

Murray Dow


We discuss Toeplitz and associated matrices which have simple explicit expressions for their inverses. We first review existing results and generalize these where possible, including matrices with hyperbolic and trigonometric elements. In Section 2 we discuss and generalize the Fiedler matrix. In Section 3 we give an analytic procedure for inverting any band Toeplitz matrix, in Section 4 we invert a tridiagonal Toeplitz matrix with modified corner elements.

Full Text:


DOI: https://doi.org/10.21914/anziamj.v44i0.493

Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.