APPROXIMATION OF GENERALIZED INVERSES BY ITERATED REGULARIZATION

被引：35

作者：

KING, JT ^{[1
]}

CHILLINGWORTH, D ^{[1
]}

机构：

[1] UNIV SOUTHAMPTON,DEPT MATH,SOUTHAMPTON SO9 5NH,HAMPSHIRE,ENGLAND

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1979年 / 1卷 / 05期

关键词：

D O I：

10.1080/01630567908816031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximations to the Moore-Penrose generalized inverse are obtained via iteration in the application of regularization. Uniform error bounds are obtained for linear operators with closed range. For operators with arbitrary range pointwise error estimates are derived assuming certain smoothness conditions on the data. The stability of the iteration is considered and error bounds are obtained for “noisy” data. © 1979, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：499 / 513

页数：15

共 7 条

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[2]

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[3]

Groetsch C.W., Sequential regularization of ill-posed problems involving unbounded operators, Comm. Math. Univ. Carolinae, 18, pp. 489-498, (1977)

[4]

Groetsch C.W., King J.T., Extrapolation and the method of regularization for generalized inverses, J. Approx. Theory

[5]

King J.T., New error bounds for the penalty method and extrapolation, Num. Math, 23, pp. 153-165, (1974)

[6]

Kryanev A.V., An iterative method for solving incorrectly posed problems, U.S.S.R. Computational Math, and Math. Phys, 14, pp. 24-33, (1974)

[7]

Tikhonov A.N., Arzenin V.Y., Solutions of Ill-Posed Problems, (1977)

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