Title : ( New characterizations of the matrix classes , and R0 )
Authors: Seyed Mohsen Miri , Sohrab Effati ,
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Abstract
In this paper, we provide new characterizations of the matrix classes P, W and R0. By using these new characterizations, some well-known results related to P, W and R0-matrices are improved. In 1987, Jeter and Pye proved that if a W-matrix belongs to the class R0, then all of its principle minors are nonnegative, namely W∩ R0 ⊂ P0. We present a more precise version of this result. In fact, we prove that W ∩ R0 = P.
Keywords
, P , matrix R0, matrix W, matrix Linear complementarity problem
@article{paperid:1084228,
author = {Miri, Seyed Mohsen and Effati, Sohrab},
title = {New characterizations of the matrix classes , and R0},
journal = {Linear Algebra and its Applications},
year = {2021},
volume = {621},
month = {July},
issn = {0024-3795},
pages = {181--192},
numpages = {11},
keywords = {P -matrix
R0-matrix
W-matrix
Linear complementarity problem},
}
%0 Journal Article
%T New characterizations of the matrix classes , and R0
%A Miri, Seyed Mohsen
%A Effati, Sohrab
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2021
