کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603511 1631179 2007 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Proof of a conjecture concerning the Hadamard powers of inverse M-matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Proof of a conjecture concerning the Hadamard powers of inverse M-matrices
چکیده انگلیسی

The main result of this paper is the following: if A = (aij) is an inverse M-matrix, denotes the rth Hadamard power of A, then A(r) is again an inverse M-matrix for any real number r > 1.This settles a conjecture proposed by Wang et al. [B.Y. Wang, X.P. Zhang, F.Z. Zhang, On the Hadamard product of inverse M-matrices, Linear Algebra Appl. 305 (2000) 23–31] affirmatively. Naturally, it shows that the conjecture of Neumann [M. Neumann, A conjecture concerning the Hadamard product of inverses of M-matrices, Linear Algebra Appl. 285 (1998) 277–290] is also valid.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 422, Issues 2–3, 15 April 2007, Pages 477-481