Based on Kalman filtering (Kalman, 1960; Lee, 1964): (5) a fixed-interval Kalman smoother (Lee, 1964; Rauch et al., 1965) is implemented to produce a smoothed trend signal as follows: (6) In the above recursive relations, matrices X′ and X−1 are the transposed matrix of X and the inverse matrix of X, respectively, and I is the identity matrix.
These algorithms are based on representation of the solution in terms of a double integral, some recursive relations in Fourier space, and fast Fourier transforms.
Numerical solution of the Bayesian recursive relations in state estimation by the point-mass approach is treated.
Thus, to determine v p pos ( i ), we exploit the recursive relations in Equation 9, at a posteriori time.
The solver follows some of the principles introduced in a previous fast algorithm for evaluating singular integral transforms by Daripa et al. Here we present recursive relations in Fourier space together with fast Fourier transforms which lead to a fast and accurate algorithm for solving Poisson problems within a unit disk.
where p(r x,r y |x 0,y 0) is defined in (10), and (mathsf {E}_{x_{0}}(cdot)) denotes the expectation with respect to x 0. The recursive relations in (6) and the fact ({s_{k}^{2}}=1) are used to obtain (26).
Gianola and Sorensen [ 5] described SEM in a quantitative genetics context in order to account for possible feedback or recursive relations among traits in multi-trait mixed models settings.
The source of this behaviour is the hyperbolic tangent function, tanh γ n h n, in the recursive relation (2).
In the present study some recursive relations have been implemented which can be derived by using the first order central differences and application of these simple and elegant relations to higher order difference schemes has been demonstrated to improve the accuracy over conventional approaches.
This happens in our simulations because our subroutine uses recursive relations for the spherical Bessel functions, so that, for example, for n = 200, 200 iterations are performed to compute j200(R) in these methods.
