کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603389 1336958 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix
چکیده انگلیسی

In this paper, we give necessary and sufficient conditions for a set of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. For each eigenvalue, λ, the λ-level characteristic (with respect to the spectral radius) is defined. The necessary and sufficient conditions include a requirement that the λ-level characteristic is majorized by the λ-height characteristic. An algorithm which has been implemented in MATLAB is given to determine when a multiset of Jordan blocks corresponds to the peripheral spectrum of a nonnegative matrix. The algorithm is based on the necessary and sufficient conditions given in this paper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 7, 1 October 2008, Pages 1719-1729