کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602409 1631170 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra
چکیده انگلیسی

In this paper, the estimation problems of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra are studied. A pair of inequalities about eigenvalues of self-conjugate quaternion matrix is established, the famous Brauer Theorem is generalized to quaternion division algebra and the form of Cassini Theorem over quaternion division algebra is also worked out successfully.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 11–12, 1 June 2008, Pages 3023-3033