Error Analysis of QR Updating with Exponential Windowing
Error Analysis of QR Updating with Exponential Windowing
Loading...
Files
Publication or External Link
Date
Authors
Advisor
Citation
DRUM DOI
Abstract
To appear in Mathematics of Computation
Exponential windowing is a widely used technique for suppressing the effects of old data as new data is added to a matrix. Specifically, given an $n\times p$ matrix $X_n$ and a ``forgetting factor'' $\beta\in(0,1)$, one works with the matrix $\dia(\beta^{n-1},\beta^{n-2},\ldots,1)X_n$. In this paper we examine an updating algorithm for computing the QR factorization of $\dia(\beta^{n-1},\beta^{n-2},\ldots,1)X_n$ and show that it is unconditionally stable in the presence of rounding errors. (Also cross-referenced as UMIACS-TR-91-79)