@inproceedings{b634a328bcb64255ad8ca65a8677bc7d,
title = "Error estimations in linear inverse problems with a priori information",
abstract = "We consider an inverse problem for an operator equation Az = u. The exact operator A and the exact right-hand side u are unknown. Only their upper and lower estimations are available. We provide techniques of calculating upper and lower estimations for the exact solution belonging to a compact set in this case, as well as a posteriori error estimations. We obtain approximate solutions with an optimal a posteriori error estimate. We also make use of a priori information about the exact solution, e.g. its monotonicity and convexity. The developed software package was applied to solving practical ill-posed problems.",
author = "Yagola, {Anatoly G.} and Korolev, {Yury M.}",
year = "2011",
month = aug,
day = "31",
doi = "10.1115/DETC2011-47799",
language = "English",
isbn = "9780791854792",
series = "Proceedings of the ASME Design Engineering Technical Conference",
publisher = "American Society of Mechanical Engineers (ASME)",
number = "PARTS A AND B",
pages = "457--462",
booktitle = "ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011",
address = "USA United States",
edition = "PARTS A AND B",
note = "ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 ; Conference date: 28-08-2011 Through 31-08-2011",
}