کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775785 1631753 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accurate computations with Lupaş matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Accurate computations with Lupaş matrices
چکیده انگلیسی
Lupaş q-analogues of the Bernstein functions play an important role in Approximation Theory and Computer Aided Geometric Design. Their collocation matrices are called Lupaş matrices. In this paper, we provide algorithms for computing the bidiagonal decomposition of these matrices and their inverses to high relative accuracy. It is also shown that these algorithms can be used to perform to high relative accuracy several algebraic calculations with these matrices, such as the calculation of their inverses, their eigenvalues or their singular values. Numerical experiments are included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 303, 15 June 2017, Pages 171-177
نویسندگان
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