Abstract
Stiefel's theory of optimal relaxation methods is applied to study the behavior of the error, measured by (the square of) an energy-type norm, as the number of iteration steps tends to infinity. It is shown how certain features of the initial residual vector affect the rate of convergence. Of particular interest are cases in which the higher-order components of the initial residual vector, in the coordinate system of principal axes, are more and more attenuated.
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