کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643328 | 1341376 | 2006 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Iterative methods for ill-posed problems and semiconvergent sequences Iterative methods for ill-posed problems and semiconvergent sequences](/preview/png/4643328.png)
Iterative schemes, such as LSQR and RRGMRES, are among the most efficient methods for the solution of large-scale ill-posed problems. The iterates generated by these methods form semiconvergent sequences. A meaningful approximation of the desired solution of an ill-posed problem often can be obtained by choosing a suitable member of this sequence. However, it is not always a simple matter to decide which member to choose. Semiconvergent sequences also arise when approximating integrals by asymptotic expansions, and considerable experience and analysis of how to choose a suitable member of a semiconvergent sequence in this context are available. The present note explores how the guidelines developed within the context of asymptotic expansions can be applied to iterative methods for ill-posed problems.
Journal: Journal of Computational and Applied Mathematics - Volume 193, Issue 1, 15 August 2006, Pages 157–167