کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602914 1336942 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalue inclusion regions from inverses of shifted matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Eigenvalue inclusion regions from inverses of shifted matrices
چکیده انگلیسی

We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 10, 1 November 2008, Pages 2481-2496