Decomposition methods for large linear discrete ill-posed problems

作者:

Highlights:

摘要

The solution of large linear discrete ill-posed problems by iterative methods continues to receive considerable attention. This paper presents decomposition methods that split the solution space into a Krylov subspace that is determined by the iterative method and an auxiliary subspace that can be chosen to help represent pertinent features of the solution. Decomposition is well suited for use with the GMRES, RRGMRES, and LSQR iterative schemes.

论文关键词:GMRES,RRGMRES,LSQR,Iterative method,Ill-posed problem,Inverse problem,Decomposition,Augmentation

论文评审过程:Received 23 January 2005, Revised 23 September 2005, Available online 10 January 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2005.09.025