engleski

Generalization of the CG method applied to linear and nonlinear problems

A method of solving a set of linear equations through iteration process is described. In every step of the process the Ritz method is applied. With a suitably chosen procedure for generating coordinate vectors, the process is efficient when applied to nonlinear and in some cases even to linear problems. Present experience is limited, and no objective criteria have been developed for an a priori judgment of coordinate vectors what would very probably contribute to the efficiency. Some standard iterative algorithms can be interpreted as special cases of this procedure.

iteration process; Ritz method; linear problems; nonlinear problems

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