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• W2903179675 abstract "Most of the literature on the solution of linear ill-posed operator equations, or their discretization, focuses only on the infinite-dimensional setting or only on the solution of the algebraic linear system of equations obtained by discretization. This paper discusses the influence of the discretization error on the computed solution. We consider the situation when the discretization used yields an algebraic linear system of equations with a large matrix. An approximate solution of this system is computed by first determining a reduced system of fairly small size by carrying out a few steps of the Arnoldi process. Tikhonov regularization is applied to the reduced problem and the regularization parameter is determined by the discrepancy principle. Errors incurred in each step of the solution process are discussed. Computed examples illustrate the error bounds derived." @default.
• W2903179675 created "2018-12-11" @default.
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• W2903179675 date "2018-12-04" @default.
• W2903179675 modified "2023-09-27" @default.
• W2903179675 title "Error Estimates for Arnoldo-Tikhonov Regularization for Ill-Posed Operator Equations" @default.
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