Convergence order of one regularization method
Abstract
Modelling many problems of mathematical physics, economy, statistics, actuary mathematics we obtain operational equations of the first kind. As a rule, these equations concern to ill-posed problems. There are some iterative methods for solution of such problems. In the present work, we consider the concrete iterative method and estimate its order of convergence without any additional conditions.
Vieno reguliarizavimo metodo konvergavimo greičio įvertis
Santrauka. Daugelio matematinės fizikos, ekonomikos, statistikos, draudimo matematikos uždavinių modeliavime gaunamos pirmojo tipo operatorinės lygtys. Kaip taisyklė tokios lygtys susiveda į nekorektiškus uždavinius. Literatūroje tokių uždavinių sprendimo radimui naudojami iteraciniai metodai. Šiame darbe nagrinėjamas konkretus iteracinis metodas ir nustatomas šio metodo konvergavimo greičio įvertis. Teoremos įrodomos nesinaudojant papildomomis sąlygomis, kurios buvo naudojamos ankstesniuose dabuose.
First Published Online: 14 Oct 2010
Keywords:
ill-posed problems, iterative methods, numerical algorithmsHow to Cite
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Copyright (c) 2003 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2003 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.