Accelerating Convergence in Successive Relaxation Algorithm for Multicomponent Distillation Calculation.

The Convergence of Multicomponent Chromatography with Relaxation

We consider a 2n × 2n system of conservation laws with stiff relaxation terms. The system arises from the modelling of multicomponent chromatography, and the zero relaxation limit is a n×n system of conservation laws of Temple class. For initial data which are small in BV, we establish an a priori bound on the total variation of the solution of the relaxation system. Moreover, we show that this...

On the finite convergence of successive SDP relaxation methods

Let F be a subset of the n-dimensional Euclidean spaceR represented in terms of a compact convex subset C0 and a set PF of nitely or in nitely many quadratic functions on R such that F = fx 2 C0 : p(x) 0 (8p( ) 2 PF )g. In this paper, we investigate some fundamental properties related to the nite convergence of the successive SDP (semide nite programming) relaxation method proposed by the autho...

Multicomponent batch distillation column design

Generating Eecient Parallel Code for Successive Over-relaxation Generating Eecient Parallel Code for Successive Over-relaxation

Successive Over-Relaxation (SOR) is a method used extensively for solving partial diierential equations by nite diierence. Compared with the Jacobi method for the same class of problems, SOR (of which the Gauss-Seidel method is a special case) ooers faster convergence. All of the schemes of parallelizing SOR proposed require two-way communication between neighbor processors. The number of the m...

Convergence acceleration of the LMS algorithm using successive data orthogonalization

We propose a new adaptive filtering algorithm whose convergence rate is very fast even for a highly correlated input signal. It is well-known that convergence rate gets worse when the input signal to an adaptive filter is correlated. Introducing an orthogonal constraint between successive input signal vectors makes us overcome the slow convergence caused by the correlated input signal. It is sh...