A POSTERIORI PARAMETER CHOICE FOR GENERAL REGULARIZATION METHODS FOR SOLVING LINEAR ILL-POSED PROBLEMS

被引：77

作者：

ENGL, HW ^{[1
]}

GFRERER, H ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,CTR MATH ANAL,CANBERRA,ACT 2600,AUSTRALIA

来源：

关键词：

D O I：

10.1016/0168-9274(88)90017-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：395 / 417

页数：23

共 13 条

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[2] [Anonymous], 1983, Improperly Posed Problems and their Numerical Treatment
[3] [Anonymous], 1984, Chapman & Hall/CRC Research Notes in Mathematics Series, DOI DOI 10.1016/j.jmb.2011.04.027
[4] BANK B, 1982, NONLINEAR PARAMETRIC
[5] Engl H. W., 1981, Numerical Functional Analysis and Optimization, V3, P201, DOI 10.1080/01630568108816087
[6] DISCREPANCY PRINCIPLES FOR TIKHONOV REGULARIZATION OF ILL-POSED PROBLEMS LEADING TO OPTIMAL CONVERGENCE-RATES
ENGL, HW
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 52 (02) : 209 - 215
[7] ON THE CHOICE OF THE REGULARIZATION PARAMETER FOR ITERATED TIKHONOV REGULARIZATION OF ILL-POSED PROBLEMS
ENGL, HW
[J]. JOURNAL OF APPROXIMATION THEORY, 1987, 49 (01) : 55 - 63
[8] GFRERER H, 1987, MATH COMPUT, V49, P507, DOI 10.1090/S0025-5718-1987-0906185-4
[9] RATES OF CONVERGENCE FOR APPROXIMATIONS TO THE GENERALIZED INVERSE
GROETSCH, CW
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1979, 1 (02) : 195 - 201
[10] GROETSCH CW, 1980, B UNIONE MAT ITAL, V17, P1411