New variation of the generalized discrepancy principle with due account taken of round-off errors for solving multidimensional ill-posed problemsтезисы доклада
Аннотация:One of the most efficient way of solving multidimensional ill-posed problems is using of parallel computing that helps us to process a huge amount of data [1]. But the round-off errors that grow with increasing amount of computations can significantly affect the final result of calculations. In this work an approach that is able to take into account these errors and to construct sufficiently stable approximate solution of an ill-posed problem is discussed. Several recent results will be presented on the study of the main issue of this work.