Titlebook: Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Bounda; M. Engeli,Th. Ginsburg,E. Stiefel Bo

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Original

Theory of Gradient Methods,imensional space whereas the solution of (II. 1) will be denoted by — A.b. The order of the system will be denoted throughout by JV, whereas n is used for the number of different eigenvalues of ., which may be smaller than ..

Blemish

The Self-Adjoint Boundary Value Problem,oblem we may take the famous . connected with the Laplacian differential equation . = 0. This problem belongs to the broad class of socalled . problems and it seems advisable to study this class on its own merits and to develop numerical methods for solving self-adjoint problems adapted to their spe

Aprope

走調

Experiments on Gradient Methods,ssed in Chapter II) on the one hand and of the overrelaxation methods on the other hand. For the sake of comparison one example was computed according to the elimination method of Gauss-Cholesky. A valuation of the different methods will be found in chapter V.

COLIC

Overrelaxation and Related Methods,computation. The gradient and Tchebycheff methods described in Chapters II and III are the counterparts of this family of relaxations, because the parameters in the relaxation formula vary from one step to the next. It will be the purpose of this chapter to contrast these two families and thus to pe

flammable

Conclusions,plained in Chapter I. The results of the computations are described and discussed in Chapter III, and the relative errors of the approximants are plotted against the number of iteration steps and computing time in Chapter III, Figures 1, 4, 7, 8.

圓錐體

先行

978-3-0348-7226-3Springer Basel AG 1959

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