Recursive solution

If the sampling time is 0.1 seconds, the values of the discrete-time state transition and control matrices AfT) and BfT) calculated in Example 9.8 may be used in the recursive solution. 

Press, New York, 35 (1980), pp. 215-294. The Recursive Solution of the Schrodinger Equation. 

Recursive Solutions to Large Eigenproblems in Molecular Spectroscopy and Reaction Dynamics... 

Explicit solutions of Eqs. (88) or (97) are not known, even for the Flory-Stock-mayer model. The concentrations of individual species Cy(f) for that model are available, but only by recursive solution of appropriate kinetics equations (before they are summed up to yield Eqs. (88) or (97)). The function ci(t) + Hx(t) + Hy(t) which is needed to solve the equations is... 

Finding that an intermediate column product can be recycled because a structure already exists to separate it is like discovering a recursive solution to our separation problem. This reason for recycling is different from the one for the previous alternative it is a necessary part of many of these flowsheets. 

Although online optimization allows constraints on estimates as part of the problem formulation, formulating a state estimation problem with inequality constraints prevents recursive solutions as Kalman filter, and therefore, the estimation problem grows with time as more measurements become available. The computational complexity scales at least linearly with time, and consequently, the online solution is impractical due to the... 

The density matrix p R,P) is not stationary under quantum-classical dynamics. Instead, the equilibrium density of a quantum-classical system has to be determined by solving the equation itpwe = 0. An explicit solution of this equation has not been found although a recursive solution, obtained by expressing the density matrix pwe in a power series in ft or the mass ratio p, can be determined. While it is difficult to find the full solution to all orders in ft, the solution is known anal3dically to 0 h). When expressed in the adiabatic basis, the result is [5]... 

Beltscheva, D., Hugo, P., and Seidel-Morgenstem, A. (2003) Linear two-step gradient counter-current chromatography analysis based on a recursive solution of an equilibrium stage model./. Chromatogr. A, 989, 31 5. 

W.R. Haydock, The recursive solution of teh Schrodinger equation, in H. Ehrenreich,... 

The equations are the basis of the recursive solution of the OZ equation proposed by Dale and Friedman [39]... 

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