ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (1): 35-44.

ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

陈宏

Securities & Futures Institute, Shanghai University of Finance and Economics, Shanghai 200433, China

收稿日期:1995-10-09 出版日期:1998-03-25 发布日期:1998-03-25
基金资助:
This work is supported by the Postdoctoral Foundation of China

ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

Chen Hong

Securities & Futures Institute, Shanghai University of Finance and Economics, Shanghai 200433, China

Received:1995-10-09 Online:1998-03-25 Published:1998-03-25
Supported by:
This work is supported by the Postdoctoral Foundation of China

摘要/Abstract

摘要： It is considered that the Tikhonov regularization with closed operators for solving linear OPerator equations of the first kind in the presence of perturbed operators. A class of the regularization parameter choice strategies that lead to optimal convergence rates are proposed.

关键词: Regularization, the first kind operator equations, ill-posed problems, rate of convergence

Abstract: It is considered that the Tikhonov regularization with closed operators for solving linear OPerator equations of the first kind in the presence of perturbed operators. A class of the regularization parameter choice strategies that lead to optimal convergence rates are proposed.

Key words: Regularization, the first kind operator equations, ill-posed problems, rate of convergence

陈宏. ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR[J]. 数学物理学报(英文版), 1998, 18(1): 35-44.

Chen Hong. ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR[J]. Acta mathematica scientia,Series B, 1998, 18(1): 35-44.

[1]	曹道珉, 彭双阶, 严树森. REGULARIZATION OF PLANAR VORTICES FOR THE INCOMPRESSIBLE FLOW[J]. 数学物理学报(英文版), 2018, 38(5): 1443-1467.
[2]	Santhosh GEORGE, C. D. SREEDEEP. LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES[J]. 数学物理学报(英文版), 2018, 38(1): 303-314.
[3]	Ioannis K. ARGYROS, Santhosh GEORGE. ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES[J]. 数学物理学报(英文版), 2015, 35(6): 1318-1324.
[4]	孙建强\|丁义明. RATE OF CONVERGENCE AND EXPANSION OF RÉNYI ENTROPIC CENTRAL LIMIT THEOREM[J]. 数学物理学报(英文版), 2015, 35(1): 79-88.
[5]	郭娟, 王金平. CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM[J]. 数学物理学报(英文版), 2014, 34(6): 1875-1884.
[6]	杨帆, 傅初黎, 李晓晓. IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION[J]. 数学物理学报(英文版), 2014, 34(4): 1012-1024.
[7]	赵月旭. ASYMPTOTIC PROPERTIES OF THE MOMENT CONVERGENCE FOR NA SEQUENCES[J]. 数学物理学报(英文版), 2014, 34(2): 301-312.
[8]	李晓花, 侯振挺. SUBGEOMETRIC RATES OF CONVERGENCE OF THE GI/G/1 QUEUEING SYSTEM[J]. 数学物理学报(英文版), 2012, 32(5): 1983-1996.
[9]	彭自嘉, 刘益良. EXISTENCE RESULTS FOR A CLASS OF PSEUDOMONOTONE ELLIPTIC-PARABOLIC INCLUSIONS[J]. 数学物理学报(英文版), 2011, 31(5): 1709-1718.
[10]	刘红, 宋永忠. ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM[J]. 数学物理学报(英文版), 2011, 31(2): 383-398.
[11]	黄小为, 吴传生, 吴笛. A FAST CONVERGENT METHOD OF ITERATED REGULARIZATION[J]. 数学物理学报(英文版), 2009, 29(2): 341-348.
[12]	王吉安; 李景; 刘振海. REGULARIZATION METHODS FOR NONLINEAR ILL-POSED PROBLEMS WITH ACCRETIVE OPERATORS[J]. 数学物理学报(英文版), 2008, 28(1): 141-150.
[13]	钟同德; 陈吕萍. THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS[J]. 数学物理学报(英文版), 2006, 26(4): 679-690.
[14]	曾三友, 丁立新, 康立山. A METHOD TO APPROACH OPTIMAL ESTORATION IN IMAGE RESTORATION ROBLEMS WITHOUT NOISE ENERGY NFORMATION[J]. 数学物理学报(英文版), 2003, 23(4): 512-.
[15]	史应光. TRUNCATED HERMITE INTERPOLATION ON AN ARBITRARY SYSTEM OF NODES[J]. 数学物理学报(英文版), 2001, 21(1): 9-20.

ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10