Convergence order of one regularization method

    S. Guseinov Info
    I. Volodko Info

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 algorithms

How to Cite

Guseinov, S., & Volodko, I. (2003). Convergence order of one regularization method. Mathematical Modelling and Analysis, 8(1), 25-32. https://doi.org/10.3846/13926292.2003.9637207

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March 31, 2003
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2003-03-31

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How to Cite

Guseinov, S., & Volodko, I. (2003). Convergence order of one regularization method. Mathematical Modelling and Analysis, 8(1), 25-32. https://doi.org/10.3846/13926292.2003.9637207

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