Optimization of solution projection methods for linear operator equations

Various notions of the projection method optimality are investigated in the paper aiming at the search of new criteria of the projection method optimality, the creation of new methods of the error estimation obtaining and the construction of new optimum projection methods. As a result formulae for the approximate solution have been obtained. New criteria of the projection method optimality have been found. Optimality numbers have been introduced and investigated. Some known earlier results have been generalized. Methods of the construction of optimum on accuracy and asymptotically optimum in the misclosure sense projection methods have been suggestedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio