Abstract
We provide a new representation for the inverse of block tridiagonal and banded matrices. The new representation is shown to be numerically stable over a variety of block tridiagonal matrices, in addition of being more computationally efficient than the previously proposed techniques. We provide two algorithms for commonly encountered problems that illustrate the usefulness of the results.
Keywords
Block Tridiagonal matrices, semiseparable matrices, representation, stability
Date of this Version
June 2007
COinS