کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4602349 | 1631167 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A family of symmetric polynomials of the eigenvalues of a matrix
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we consider a family of symmetric polynomials of the eigenvalues of a complex matrix A and find an explicit expression of each member of the family as a polynomial of the entries of A with positive coefficients. In the case of a nonnegative matrix, one immediately obtains a family of inequalities involving matrix eigenvalues and diagonal entries. Equivalent forms of some of the obtained results as well as connections with known results and specific applications are also presented. In the concluding part of the paper, we provide comments and conjecture further inequalities related with nonnegative matrices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 8–9, 16 October 2008, Pages 2199-2208
Journal: Linear Algebra and its Applications - Volume 429, Issues 8–9, 16 October 2008, Pages 2199-2208