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author:

Chen, Shencan (Chen, Shencan.) [1]

Indexed by:

EI

Abstract:

The main result of this paper is the following: if A = (aij) is an inverse M-matrix, A(r) = (aijr) 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. © 2006 Elsevier Inc. All rights reserved.

Keyword:

Inverse problems Linear algebra Mathematical operators Matrix algebra Number theory Problem solving

Community:

  • [ 1 ] [Chen, Shencan]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, 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

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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