Publisher's Synopsis
Excerpt from Iteration Methods for Non-Linear Problems
The method of relaxation or the method of successive dis placements has been used extensively to solve linear problems In particular this method has been applied to the solution of linear elliptic equations and has been especially successful with the use of automatic digital computers.
Analogous methods have been used in practice, with apparent success, on non-linear problems as well. For the most part, these have not been justified mathematically and this work is an attempt to fill this gap. In particular it is shown that the relaxation methods yield solutions to problems arising from the minimization of certain convex functions. In practice, these functions are obtained by approximating multiple integrals in a calculus of variations problem.
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