Volume 16, Issue 1
Dynamical system method for solving ill-posed operator equations

X. Luo & S. Yang

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 54-62

Published online: 2007-02

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  • Abstract
Two dynamical system methods are studied for solving linear ill-posed problems with both operator and right-hand nonexact. The methods solve a Cauchy problem for a linear operator equation which possesses a global solution. The limit of the global solution at infinity solves the original linear equation. Moreover, we also present a convergent iterative process for solving the Cauchy problem.
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@Article{NM-16-54, author = {X. Luo and S. Yang}, title = {Dynamical system method for solving ill-posed operator equations}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {1}, pages = {54--62}, abstract = { Two dynamical system methods are studied for solving linear ill-posed problems with both operator and right-hand nonexact. The methods solve a Cauchy problem for a linear operator equation which possesses a global solution. The limit of the global solution at infinity solves the original linear equation. Moreover, we also present a convergent iterative process for solving the Cauchy problem.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10078.html} }
TY - JOUR T1 - Dynamical system method for solving ill-posed operator equations AU - X. Luo & S. Yang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 54 EP - 62 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10078.html KW - AB - Two dynamical system methods are studied for solving linear ill-posed problems with both operator and right-hand nonexact. The methods solve a Cauchy problem for a linear operator equation which possesses a global solution. The limit of the global solution at infinity solves the original linear equation. Moreover, we also present a convergent iterative process for solving the Cauchy problem.
X. Luo & S. Yang. (1970). Dynamical system method for solving ill-posed operator equations. Numerical Mathematics, a Journal of Chinese Universities. 16 (1). 54-62. doi:
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