The Solution of Linear Equations in Normed Spaces by Averaging Iteration
J. J. Koliha · SIAM Journal on Mathematical Analysis · 1974
Averaging iterations are applied to the approximate solution of the linear equation $(I - T)x = f$ in a normed space. The theory obtained by Kwon and Redhedffer for the Picard iteration is extended and generalized. Three cases of averaging iteration suitable for numerical computation are introduced, and the convergence subspace associated with an averaging iteration is discussed.