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author:

Chen, Shencan (Chen, Shencan.) [1] (Scholars:陈神灿)

Indexed by:

EI Scopus SCIE

Abstract:

The main result of this paper is the following: if A = (a(ij)) is an inverse M-matrix, A((r)) = (a(ij)(r)) 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. (c) 2007 Elsevier Inc. All rights reserved.

Keyword:

Hadamard product inverse M-matrix M-matrix

Community:

  • [ 1 ] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

Reprint 's Address:

  • 陈神灿

    [Chen, Shencan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

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Source :

LINEAR ALGEBRA AND ITS APPLICATIONS

ISSN: 0024-3795

Year: 2007

Issue: 2-3

Volume: 422

Page: 477-481

0 . 7 0 2

JCR@2007

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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