61 citations · 78 across the 2 of their papers we have counts for
2 papers
math.NA2010★ 17 cited
A weakly stable algorithm for general Toeplitz systems
Adam W. Bojanczyk, Richard P. Brent, Frank R. de Hoog
We show that a fast algorithm for the QR factorization of a Toeplitz or Hankel matrix A is weakly stable in the sense that R^T.R is close to A^T.A. Thus, when the algorithm is used…
math.NA2010★ 61 cited
On the stability of the Bareiss and related Toeplitz factorization algorithms
Adam W. Bojanczyk, Richard P. Brent, Frank R. de Hoog +1
This report contains a numerical stability analysis of factorization algorithms for computing the Cholesky decomposition of symmetric positive definite matrices of displacement ran…