ON THE CONDITION NUMBER OF MATRICES ARISING IN THE TIKHONOV REGULARIZATION METHOD

被引：1

作者：

ABRAMOVITZ, B ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL

来源：

ACTA APPLICANDAE MATHEMATICAE | 1994年 / 36卷 / 03期

关键词：

INTEGRAL EQUATIONS; ILL-POSEDNESS; REGULARIZATION; CONDITION NUMBER;

D O I：

10.1007/BF01002358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the regularization method for linear ill-posed problems. For operators and approximating subspaces satisfying certain conditions and for a specific form of the regularization parameter, upper and lower bounds are given for the condition number of the corresponding discrete problem.

引用

页码：211 / 226

页数：16

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