| Home > Publications > Reports > Numerical Analysis and Applied Mathematics (TW) |
TW 464
Steven Delvaux, Marc Van Barel
Unitary rank structured matrices
Abstract
In this paper we describe how one can represent a unitary rank structured matrix in an efficient way as a product of unitary or Givens transformations. We provide also some basic operations for manipulating the representation, such as the transition to zero-creating form, the transition to a unitary/Givens-weight representation, as well as an internal pull-through process of the two branches of the representation. Finally, we characterize how to determine the \lq shift\rq\ correction term to the rank structure, and we provide some applications to this result.
report.pdf (571K) / mailto: S. Delvaux