کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638833 1632018 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regularization parameter determination for discrete ill-posed problems
ترجمه فارسی عنوان
تعیین پارامترهای منظم برای مشکالت گسسته
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The straightforward solution of discrete ill-posed linear systems of equations or least-squares problems with error contaminated data does not, in general, give meaningful results, because the propagated error destroys the computed solution. The problems have to be modified to reduce their sensitivity to the error in the data. The amount of modification is determined by a regularization parameter. It can be difficult to determine a suitable value of the regularization parameter when no knowledge of the norm of error in the data is available. This paper proposes a new simple technique for determining a value of the regularization parameter that can be applied in this situation. It is based on comparing computed solutions determined by Tikhonov regularization and truncated singular value decomposition. Analogous comparisons are proposed for large-scale problems. The technique for determining the regularization parameter implicity provides an estimate for the norm of the error in the data.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 273, 1 January 2015, Pages 132–149
نویسندگان
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