کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603951 1631189 2006 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Perron–Frobenius property of matrices having some negative entries
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On Perron–Frobenius property of matrices having some negative entries
چکیده انگلیسی

We extend the theory of nonnegative matrices to the matrices that have some negative entries. We present and prove some properties which give us information, when a matrix possesses a Perron–Frobenius eigenpair. We apply also this theory by proposing the Perron–Frobenius splitting for the solution of the linear system Ax = b by classical iterative methods. Perron–Frobenius splittings constitute an extension of the well known regular splittings, weak regular splittings and nonnegative splittings. Convergence and comparison properties are given and proved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 412, Issues 2–3, 15 January 2006, Pages 132-153