Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations
F. K. Akhmadishina · Computational Mathematics and Mathematical Physics · 2009
Sufficient conditions are found for the asymptotic optimality of projection methods as applied to linear operator equations in Hilbert spaces. The conditions are applicable to a wide class of equations when asymptotically optimal projection methods are sought for their solution. Applications illustrating the result are presented.