کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602917 1336942 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrices, moments, and rational quadrature
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Matrices, moments, and rational quadrature
چکیده انگلیسی

Many problems in science and engineering require the evaluation of functionals of the form Fu(A)=uTf(A)u, where A is a large symmetric matrix, u a vector, and f a nonlinear function. A popular and fairly inexpensive approach to determining upper and lower bounds for such functionals is based on first carrying out a few steps of the Lanczos procedure applied to A with initial vector u, and then evaluating pairs of Gauss and Gauss–Radau quadrature rules associated with the tridiagonal matrix determined by the Lanczos procedure. The present paper extends this approach to allow the use of rational Gauss quadrature rules.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 10, 1 November 2008, Pages 2540-2554