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A multi-level algorithm for the solution of moment problems

 

作者: Otmar Scherzer,   Thomas Strohmer,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 3-4  

页码: 353-375

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816833

 

出版商: Marcel Dekker, Inc.

 

关键词: Moment problems;multi-level algorithms;Landweber Richardson method;conjugate gradient method;nonuniform sampling;AMS Subject Classification: 44A60;AMS Subject Classification 65J10;AMS Subject Classification 65J20;AMS Subject Classification 62D05;AMS Subje

 

数据来源: Taylor

 

摘要:

We study numerical methods for the solution of general linear moment problems, where the solution belongs to a family of nested subspaces of a Hilbert space. Multi-level algorithms, based on the conjugate gradient method and the Landweber-Richardson method are proposed that determine the "optimal" reconstruction level a posteriori from quantities that arise during the numerical calculations. As an important example we discuss the reconstruction of band-limited signals from irregularly spaced noisy samples, when the actual bandwidth of the signal is not available. Numerical examples show the usefulness of the proposed algorithms

 

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