کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603557 1336964 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal expansion of subspaces for eigenvector approximations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Optimal expansion of subspaces for eigenvector approximations
چکیده انگلیسی

We consider the problem of how to expand a given subspace for approximating an eigenvalue and eigenvector of a matrix A. Specifically, we consider which vector in the subspace, after multiplied by A, provides optimal expansion of the existing subspace for the eigenvalue problem. We determine the optimal vector, when the quality of subspace for approximation is measured by the angle between the subspace and the eigenvector. We have also derived some characterization of the angle that might lead to more practically useful choice of the expansion vector.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 4, 1 February 2008, Pages 911-918