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Some transpose-free CG-like solvers for nonsymmetric ill-posed problems. (English) Zbl 1441.65046
The paper is focused on iterative regularization methods for solving large square invertible linear systems $$Ax=b$$, and proposes an efficient and reliable strategy to symmetrize the coefficient matrix of system. In this respect, after $$m$$ iterations of the Arnoldi algorithm applied to the system, the initial problem is replaced with a preconditioned symmetric $$m$$-rank problem which is solved in the least squares sense. Numerical experiments and comparisons with other methods are presented.
##### MSC:
 65F22 Ill-posedness and regularization problems in numerical linear algebra 65F10 Iterative numerical methods for linear systems 65F08 Preconditioners for iterative methods
##### Software:
Matlab; Regularization tools
Full Text:
##### References:
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