Dynamical Systems Method for Solving First Kind of Operator Equations with Disturbance Item

Autor:	Jiang Cheng-Shun, Wang Xian-Chao
Rok vydání:	2011
Předmět:	Tikhonov regularization Mathematical optimization Noise Operator (computer programming) Dynamical systems theory Rate of convergence Convergence (routing) Applied mathematics Discrete form Integral equation Mathematics::Numerical Analysis Mathematics
Zdroj:	Communications in Computer and Information Science ISBN: 9783642275029 ICICA (1)
DOI:	10.1007/978-3-642-27503-6_8
Popis:	In this paper, the dynamical systems method (DSM) for solving the first kind of operator equations with noise in the right-hand data is studied. The convergence of the discrete form of DSM is proved, and then the convergence rate of the approximate solution is obtained under certain prior assumption. The experimental results of first kind of Fredholm integral equations show that DSM is more accurate and faster than Tikhonov regularization method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3f8a4b8d96ed3500873df4f273cdab39 https://doi.org/10.1007/978-3-642-27503-6_8 Zobrazit plný text záznamu