کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775829 | 1631752 | 2017 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Total least norm solution for linear structured EIV model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Structured total least norm (STLN) and weighted total least squares (WTLS) have been proposed for structured EIV (errors-in-variables) models. STLN is a principle minimizing the Lp norm of the perturbation parts of an EIV model, in which p = 1, 2 or â. STLN permits affine structure of the matrix A or [A|y] such as Toeplitz. STLN has advantages over WTLS on having â-norm and robust 1-norm. However, only Hankel or Toeplitz structure was discussed explicitly in STLN, and weight of errors was not discussed. While in some applications, the matrix [A|y] has arbitrary linear structure, taking linear regression and coordinate transformation as examples. This paper aims at extending STLN to L-STLN (linear structured total least norm), which can deal with EIV models having linear structures other than Toeplitz or Hankel in [A|y]. Additionally, weighted estimation is discussed. A simulated numerical example is computed by STLN and L-STLN under 1-, 2-, and â-norm, the results shown that L-STLN can preserve arbitrary linear structure of [A|y]. Also, the estimated correction of [A|y] by WTLS and L-STLN under 2-norm are compared. The results show that weighted L-STLN under 2-norm is consistent with WTLS. The robustness of L-STLN under 1-norm is demonstrated by simulated outlier.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 304, 1 July 2017, Pages 58-64
Journal: Applied Mathematics and Computation - Volume 304, 1 July 2017, Pages 58-64
نویسندگان
Zhang Songlin, Zhang Kun, Han Jie, Tong Xiaohua,