کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598717 1631100 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bidiagonal decomposition of rectangular totally positive Said–Ball–Vandermonde matrices: Error analysis, perturbation theory and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Bidiagonal decomposition of rectangular totally positive Said–Ball–Vandermonde matrices: Error analysis, perturbation theory and applications
چکیده انگلیسی

An algorithm for computing the bidiagonal decomposition of Said–Ball–Vandermonde matrices in the rectangular case is presented, which allows one to use known algorithms for totally positive matrices represented by their bidiagonal decomposition. The algorithm is fast and possesses high relative accuracy. The error analysis of the algorithm is also addressed, along with the perturbation theory for the bidiagonal factorization of totally positive Said–Ball–Vandermonde matrices. Some numerical experiments showing the good behavior of the algorithm are included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 495, 15 April 2016, Pages 90–107
نویسندگان
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