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IEEE Transactions on Signal Processing
Article . 1993 . Peer-reviewed
License: IEEE Copyright
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A unified square-root-free approach for QRD-based recursive-least-squares estimation

A unified square-root-free approach for QRD-based recursive least squares estimation
Authors: Hsieh, S. F.; Liu, K. J. R.; Yao, K.;

A unified square-root-free approach for QRD-based recursive-least-squares estimation

Abstract

The generic formula for the Givens rotation, the most commonly used method for QR-decomposition (QRD) updating, requires explicit square-root (sqrt) computations, which constitute a computational bottleneck. A unified systematic approach for sqrt-free Givens rotations is provided. By properly choosing two parameters, all previously known, as well as new, sqrt-free methods are included in the unified approach. This unified treatment is also extended to the QRD-based recursive-least-squares (RLS) problem for optimum residual acquisition without sqrt operations. >

Keywords

Least squares and related methods for stochastic control systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Top 10%
Top 10%
Top 10%
bronze