THE INSTABILITY OF SOME GRADIENT METHODS FOR ILL-POSED PROBLEMS

被引：30

作者：

EICKE, B ^{[1
]}

LOUIS, AK ^{[1
]}

PLATO, R ^{[1
]}

机构：

[1] TECH UNIV BERLIN,FACHBEREICH MATH,STR 17 JUNI 135,W-1000 BERLIN 12,GERMANY

来源：

NUMERISCHE MATHEMATIK | 1990年 / 58卷 / 01期

关键词：

Subject classifications: AMS(MOS): 65J10; CR:; G1.8;

D O I：

10.1007/BF01385614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the solution of linear ill-posed problems some gradient methods like conjugate gradients and steepest descent have been examined previously in the literature. It is shown that even though these methods converge in the case of exact data their instability makes it impossible to base a-priori parameter choice regularization methods upon them. © 1990 Springer-Verlag.

引用

页码：129 / 134

页数：6

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