Lanczos based preconditioner for discrete ill-posed problems

doi:10.1007/s00607-010-0090-3

2010-04-23

PRE

Mansoor Rezghi

S. Mohammad Hosseini *

DOI：10.1007/s00607-010-0090-3

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摘要

En 中文

In this paper we use the Lanczos process for preconditioning discrete ill-posed problems. We show that by few steps of this process one can obtain a well qualified and efficient preconditioner. This is a general method in the sense that it is not limited only to special structured matrices and the matrix-vector multiplications can be carried out in O(n) operations. Also even in problems with structured matrices this preconditioner performs more efficiently than the circulant and Kronecker product approximate preconditioners.

Keyword:

Preconditioner

Lanczos bidiagonalization

Semiconvergent

Tikhonov regularization

Image deblurring

期刊

Computing

IF:

2.8

论文数:

2.3K

被引数:

3.5K

机构

Tarbiat Modares University

学者数:

1.4W

论文数: 1.3W

被引数: 1.4W

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