کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646202 | 1632214 | 2007 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Euclidean distances and least squares problems for a given set of vectors
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Euclidean distances and least squares problems for a given set of vectors Euclidean distances and least squares problems for a given set of vectors](/preview/png/4646202.png)
چکیده انگلیسی
Given an m×n matrix A, n Euclidean distances, those from each column to the space spanned by the remaining columns of A, are considered. An elegant relationship between A, these Euclidean distances, and the solutions of n simple linear least squares problems arising from A is derived. When A has full column rank, from this a useful expression for these Euclidean distances is immediately obtained. The theory is then used to greatly improve the efficiency of an algorithm used in communications.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 57, Issues 11–12, November–December 2007, Pages 1240-1244
Journal: Applied Numerical Mathematics - Volume 57, Issues 11–12, November–December 2007, Pages 1240-1244