A GENERALIZATION OF ARCANGELIS METHOD FOR ILL-POSED PROBLEMS LEADING TO OPTIMAL RATES

被引：11

作者：

NAIR, MT ^{[1
]}

机构：

[1] GOA UNIV,DEPT MATH,GOA 403202,INDIA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1992年 / 15卷 / 06期

关键词：

D O I：

10.1007/BF01203127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Schock(1984) considered a general a posteriori parameter choice strategy for the regularization of ill-posed problems which provide nearly the optimal rate of convergence. We improve the result of Schock and give a class of parameter choice strategies leading to optimal rates As a particular case we prove that the Arcangeli's method do give optimal rate of convergence.

引用

页码：1042 / 1046

页数：5

共 6 条

[1]

ARCANGELI R, 1966, CR ACAD SCI A MATH, V263, P282

[2] DISCREPANCY PRINCIPLES FOR TIKHONOV REGULARIZATION OF ILL-POSED PROBLEMS LEADING TO OPTIMAL CONVERGENCE-RATES [J].