Recursive algorithms

Bl) The metrics effect is very significant in special theoretical examples, like a freely joined chain. In simulations of polymer solutions of alkanes, however, it only slightly affects the static ensemble properties even at high temperatures [21]. Its possible role in common biological applications of MD has not yet been studied. With the recently developed fast recursive algorithms for computing the metric tensor [22], such corrections became affordable, and comparative calculations will probably appear in the near future. 

The sum in Eq. (43) can be obtained by a recursion algorithm used commonly in dynamic programming [62]. 

A recursive algorithm which estimates Pq and P, has the following general form New estimate = Previous estimate + Correction... 

Rarey, M. and Lengauer, T. A recursive algorithm for efficient combinatorial library docking. Perspea. Drug Disc. Des. 

The proposed technique is based on an extension to time-varying systems of Wiener s optimal filtering method (l-3). The estimation of the corrected chromato gram is optimal in the sense of minimizing the estimation error variance. A test for verifying the results is proposed, which is based on a comparison between the "innovations" sequence and its corresponding expected standard deviation. The technique is tested on both synthetic and experimental examples, and compared with an available recursive algorithm based on the Kalman filter ( ). 

In this paper, we will concentrate on the perceptually motivated method, because the resulting recursive algorithms are more practical and useful. We first present a concise physical and perceptual background for our study of reverberation, then discuss algorithms to simulate early reverberation, and conclude with a discussion of late reverberation algorithms. 

Niedzwiecki, 1994] Niedzwiecki, M. (1994). Recursive algorithm for elimination of measurement noise and impulsive disturbances from ARMA signals. Signal Processing VII Theories and Applications, pages 1289-1292. 

Both the LR and RL variants, despite being explicit, are said to be stable for all A values, which is a great advantage. Also, the method does not share with DuFort-Frankel and hopscotch the propagational inadequacy problem [232] mentioned above because both variants amount to a recursive algorithm, each newly calculated element carrying with it some component from all previously calculated elements. 

There is no need to repeat the same pathway again if S , T and To as well as S are known at some dimension level n. The following recursive algorithm has no difficulty whatsoever ... 

A possible recursive algorithm, adapted to the already described Cholesky Proceduras 2 and 3, in order to build up the coefficients of the linear combination (5.2) can be described as in section 4.2 above. In this preliminary stage the variable m involved in Procedure 3 is taken as unity, that is only one function is added at each computational step. But, in general, m functions can be added at any time and in this manner has been the Cholesky algorithm described. 

Let us first describe the tracking in the focal plane of the microscope objective. First, the chosen particle has to be selected by, for example, moving a cross on the screen. Its position is given by the barycenter of the white or black zone. To do so. after having found a first white pixel (three-level situation), a recursive algorithm must be applied to find the coordinates of all the other white pixels of the central zone. One thus obtains the position of the panicle at a time t. To determine its new position at time t + elt. we have to turn around on a spiral from the last position known until we find a new white pixel, and the analysis of the new white zone found will give the new position of the particle. Depending... 

Closed-loop identification has been addressed extensively in a linear stochastic control setting (Astrom and Wittenmark, 1989). Good discussions of early results from a stochastic control viewpoint are presented by Box (1976) and Gustavsson et al (1977). Landau and Karimi (1997) provide an evaluation of recursive algorithms for closed-loop identification. Van den Hof and Schrama (1994), Gevers (1993), and Bayard and Mettler (1992) review research on new criteria for closed-loop identification of state space or input-output models for control purposes. 

Landau, I.D., and Karimi, A., Recursive algorithms for identification in closed loop A unified approach and evaluation, Automatica 33, 8, 1499-1523 (1997). 

No specific size or scale Suitable for natural shapes Described by (recursive) algorithms Non-integer dimensions... 

Fortran Programs for Chemical Process Design Generalizing, we obtain the recursive algorithm... 

---