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E—matrices and Several Necessary and Sufficient Conditions
引用本文:王淑玉.E—matrices and Several Necessary and Sufficient Conditions[J].数学季刊,1997,12(2):58-61.
作者姓名:王淑玉
作者单位:Department of Mathematics,Luoyang Teacher's College
摘    要:AER-x.,Aiscalledanonnegative(nonPositive)matrixifau>O(a,jO(aiirtO),markedA>O(AO(i#j),auO,wecallp(A)=max{IA,l,lA,l'.-.,lAnl},(whereA,,A2,..',A"areeigenva1ueofA)asspectralradiusofA.LemmalIfAe7'.,thenareanonnegativesquarematrxBandapositivenumberksuchthatA=B-kI(whereIistheidentitymatrixofordern).ProofLetbti=…

关 键 词:E矩阵  等价条件  非负矩阵  正矩阵

E-matrices and Several Necessary and Sufficient Conditions
Wang Shuyu.E-matrices and Several Necessary and Sufficient Conditions[J].Chinese Quarterly Journal of Mathematics,1997,12(2):58-61.
Authors:Wang Shuyu
Abstract:In this paper,we define a kind of sguare matrices which is called E-matrices,and give several necessary and sufficient conditions for E-matrices.
Keywords:positive matrices  nonnegative matrices  E-matrices  spectral radius  ordinal main subdeterminants
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