کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636963 1340731 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations
چکیده انگلیسی

In this paper, application of the quadrature rules such as Gauss, Gauss–Radau and Gauss–Lobatto, for finding a bound for f(A) where f is a smooth function of the matrix A  , will be discussed. We also use this approach for the case where f(x)=1x or f(A) = A−1. Employing this technique, we can find bounds for A−1 and consequently bounds for x = A−1b will be obtained. An example is given to show some applications of the presented method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 179, Issue 2, 15 August 2006, Pages 707–713
نویسندگان
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