On Noninvertible Evolutionary Systems: Guaranteed Estimates and the Regularization Problem. (Revised Version)

Kurzhanski AB & Sivergina IF (1989). On Noninvertible Evolutionary Systems: Guaranteed Estimates and the Regularization Problem. (Revised Version). IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-058

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Abstract

This paper deals with an "inverse problem": the estimation of an initial distribution in the first boundary value problem for the heat equation through some biased information on its solution. Numerically stable solutions to the inverse problem are normally achieved through various regularization procedures. It is shown that these procedures could be treated within a unified framework of solving guaranteed estimation problems for systems with unknown but bounded errors.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:59
Last Modified: 27 Oct 2016 19:28
URI: http://pure.iiasa.ac.at/3286

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