Open AccessО постановках обратных задач
Author(s) -
Yurii Menshikov
Publication year - 2020
Publication title -
ìnformacìjnì tehnologìï v metalurgìï ta mašinobuduvannì
Language(s) - English
Resource type - Journals
ISSN - 2708-0102
DOI - 10.34185/1991-7848.itmm.2020.01.021
Subject(s) - inverse problem , inverse , property (philosophy) , mathematical optimization , computer science , mathematics , calculus (dental) , mathematical analysis , medicine , philosophy , geometry , dentistry , epistemology
Some possible options for the formulation of inverse problems are considered. The ultimate research goals in these cases determine the algorithms for the approximate solution of the inverse problem and allow one to correctly interpret these solutions. Two main statements of inverse problems considered: inverse problems of synthesis and inverse problems of measurement. It is shown that in inverse synthesis problems one should not take into account the error of the mathematical model. In addition, it is possible in these cases to synthesize approximate solution algorithms that do not have a regularizing property. Examples of practical problems considered.