Algorithms for range restricted iterative methods for linear discrete ill‐posed problems

Algorithms for range restricted iterative methods for linear discrete ill‐posed problems

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Article ID: iaor2012267
Volume: 59
Issue: 2
Start Page Number: 325
End Page Number: 331
Publication Date: Feb 2012
Journal: Numerical Algorithms
Authors: , ,
Keywords: iterative methods
Abstract:

Range restricted iterative methods based on the Arnoldi process are attractive for the solution of large nonsymmetric linear discrete ill‐posed problems with error‐contaminated data (right‐hand side). Several derivations of this type of iterative methods are compared in Neuman et al. (Linear Algebra Appl. in press). We describe MATLAB codes for the best of these implementations. MATLAB codes for range restricted iterative methods for symmetric linear discrete ill‐posed problems are also presented.

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