کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598520 1631090 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrices totally positive relative to a tree, II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Matrices totally positive relative to a tree, II
چکیده انگلیسی
If T is a labelled tree, a matrix A is totally positive relative to T, principal submatrices of A associated with deletion of pendent vertices of T are P-matrices, and A has positive determinant, then the smallest absolute eigenvalue of A is positive with multiplicity 1 and its eigenvector is signed according to T. This conclusion has been incorrectly conjectured under weaker hypotheses.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 505, 15 September 2016, Pages 1-10
نویسندگان
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