By Rendong G., Zunquan x., Jinzhi W.
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Additional info for A ABS algorithm for solving singular nonlinear system with space transformation
E. determine all the new positions in terms of all the old ones, as is shown by the following examples. N=3 t x[O] x[l] x 0 0 2/3 1/3 1 1/2 1/6 5/6 2 0 2/3 1/3 N=4 t x[O] x[l] x x 0 0 0 1/2 1/2 1 3/4 1/4 1/4 3/4 2 0 0 1/2 1/2 For both odd and even N we have an example that will oscillate with a period 2. e. without permanent neglect of certain points), then the system is bound to converge. 34 35 The Solution to a Cyclic Relaxation Problem Consider, instead of the N points, the N clockwise paths leading from each point to its successor.
In the first example I have paid considerable attention to the decision where to put the interface between the successive levels, in the second one I did no longer do so. I do not believe that the origin of this difference is in any way related to the supposed contrast between "scientific" and "clerical" machine applications, for it has a perfect historical and psychological explanation. The historical explanation is that I have used the prime number table generation problem in a number of oral examinations, the psychological explanation is that in treating the second example I am getting tired and perfectly willing to leave to my readers the intellectual satisfaction of improvement.
After both talks the audience misbehaved, at least to my standards; the audience started to attack the (his) PTT for monopolistic attitudes, misuse of power, failing public relations etc. ) those frustrations. Mr. R. - NPL Data Communication Network. The subject, I gather, was appropriate. It was, however, a litde bit too obvious that the speaker had done so before; it was a nice, polished presentation, but the speaker could not get excited about his subject, nor could his audience. I always like to listen to him lecturing, but that is because I like his English.