Institute of Mathematics , Latvian Academy of Sciences and University of Latvia , 1 Akademijas Square, Riga, LV‐1524, LATVIA E-mail: sharif@one.lv ; Transport and Telecommunication Institute , 1 Lomonosova str., Riga, LV‐1019, Latvia
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.
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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