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H-矩阵的实用判定及谱分布   总被引：2，自引：0，他引：2
1引言及记号因为非奇异H-矩阵主对角元非零,所以本文总假定所涉及矩阵主对角元非零,并且设A=(aij)∈Cn×n为n阶复方阵,N={1,2,…,n}．记N1={i∈N |Pi(A)<|aii|Pi(A)}, N4={i∈N | |aii|≥Pi(A)>Ri(A)}, N5={i∈N | |aii|>Pi(A)=Ri(A)},N0={i∈N | |aii|≤Ri(A),|aii|≤Pi(A)},即N=N1∪N2∪N3∪N4∪N5∪N0．  相似文献

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<正>北京高考的压轴题目,其背景新颖、内涵丰富,对同学们的阅读理解、抽象概括、自主探究和推理论证能力都有较高的要求.本文拟从类似题目入手,谈谈"直观想象"的重要作用.试题再现(2021朝阳区第一学期期末试卷,高三数学,21题)已知无穷数列{a_n}满足:a_1=0,a_(n+1)=a_n2+c(n∈N2+c(n∈N*,c∈R).对任意正整数n≥2,记M_n={c|对任意的i∈{1,2,3,…,n},|ai|≤2},M={c|对任意i∈N*,c∈R).对任意正整数n≥2,记M_n={c|对任意的i∈{1,2,3,…,n},|ai|≤2},M={c|对任意i∈N*,|a_i|≤2}.  相似文献

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Let E be an abstract set, G be an Abelian topological group, FEG and be afamily of subsets of F. Let the sequence {xj}E be subseries aF convergent. In this paper,we present a sufficient and necessary condition for {xj} to be also subseries convergent in thetopology of uniform convergence on the sets in ,  相似文献

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Let T be the singular integral operator with variable kernel, T*be the adjoint of T and T~#be the pseudo-adjoint of T. Let T_1T_2 be the product of T_1 and T_2, T_1? T_2 be the pseudo product of T_1 and T_2. In this paper, we establish the boundedness for commutators of these operators and the fractional differentiation operator Dγon the weighted Morrey spaces.  相似文献

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Mediterranean Journal of Mathematics - Let p be a prime number, let G be a finite group, let N be a normal subgroup of G, and let $$\theta$$ be a G-invariant irreducible character of N. In Rizo (J...  相似文献

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Let K be a commutative ring, R and s be K-rings, L and M be left R-and s-modules respectively.  相似文献

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