Abstract
The Rauch-Tung-Streibel smoother recursion is used to derive a new smoother algorithm based upon a decomposition of the linear model dynamical equation and maximizing use of rank 1 matrix modification. This new algorithm, it turns out, parallels Bierman's forward recursive square-root information filter/backward recursive U-D factorized covariance algorithm. The new result features computational efficiency, reliance on numerically stable matrix modification algorithms, and reduced computer storage.
Published Version
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