数理談話会

概 要: I plan to consider simple iteration method and multi step
minimal residual method for equations with non selfadjoint
operator. For simple iteration method we present the necessary
and sufficient conditions that provide the convergence of
iterations. We also justify the practical way of finding
optimal complex iteration parameters. For minimal residual
method we present the theorem specifying the conditions that
guarantee the convergence of iterations. We demonstrate that
for many problems of mathematical physics, this condition can
be substantiated using the law of conservation of energy.