Mathematical Principles of Settings instead of method regularization, Международная школа молодых ученых ФИЗИЧЕСКОЕ И МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ПРОЦЕССОВ В ГЕОСРЕДАХ,Сборник тезисов, стр.20-23, Москва, 11-13 ноября, 2015 гтезисы доклада
Аннотация:Mathematical Principles of Settings (MPS) transforms irregular Apparatus Functions (AF) sets to the regular sets revertible AF’s sets. MPS inversion of AFs gives us the non-smoothness solutions with the controlled maximum precision and extremely high resolution. The method regularization is based on assumption that the badly conditioned AF remains unchanged [1]. As result, we have the irreversible and smoothness solutions with the low precision. MPS extremely high resolution and regularization resolution are compared on the old radio-vision images in 3 mm wave range [2]. The method MPS may be embedded in the active radar or passive multi-rays radio-vision systems for resolving and for point indication of object-targets. There are numerous examples of the solutions to the model problems [8-9]. The method MPS will find wide applications in the geophysical investigations.