共查询到20条相似文献,搜索用时 46 毫秒
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块H-矩阵与块矩阵的谱 总被引:1,自引:0,他引:1
利用G-函数概念研究块H-矩阵,引入若干块矩阵概念。获得了块H-矩阵的等价刻划,得到了一般块矩阵特征值的由G-函数描述的分布域,由于用G-函数刻划,所获结果具有一般性。 相似文献
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完善了"块H-矩阵与块矩阵的谱"一文中的主要结论.进一步,给出了分块矩阵特征值的一个新包含域,并用实例说明了新结论的优越性. 相似文献
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本文研究离散Fourier变换的一类变型-整数模合数m剩余类环上n元函数的Chrestenson谱的快速计算,基于稀疏矩阵分解,给出了两种复杂度为O(mnn∑ri=1pi)的计算Chrestenson谱的快速算法,其中p1p2…pr是m的素因子分解. 相似文献
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关于随机矩阵Kronecker积的谱半径的不等式 总被引:2,自引:0,他引:2
研究了随机矩阵的Kronecker积的数学期望的性质,得到了随机矩阵的Kronecker积的谱半径的几个不等式. 相似文献
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谱密度矩阵的对称谱窗估计 总被引:1,自引:0,他引:1
在平稳时间序列的谱分析中,估计谱密度的方法很多,谱窗估计法是常用的一种方法。采用这种方法的键是选择好的窗函数,同时要控制窗口的大小——窗函数平滑周期的范围。评选窗函数要有一个好坏的标准,例如谢衷洁与程乾生以分瓣率的高低作为评选时窗函数的标准来寻找最佳的时窗函数;作者在和中,适当控制某种对称窗口的大小,可使谱密度估计量具有渐近无偏和均方相合等优良性质,而对时间序列本身不作正态分布的假定。 相似文献
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In this paper we characterize all nxn matrices whose spectral radius equals their spectral norm. We show that for n?3 the class of these matrices contains the normal matrices as a subclass. 相似文献
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V. B. Khazanov 《Journal of Mathematical Sciences》1998,89(6):1775-1800
Spectral problems for multiparameter polynomial matrices are considered. The notions of the spectrum (including those of its
finite, infinite, regular, and singular parts), of the analytic multiplicity of a point of the spectrum, of bases of null-spaces,
of Jordan s-semilattices of vectors and of generating vectors, and of the geometric and complete geometric multiplicities
of a point of the spectrum are introduced. The properties of the above characteristics are described. A method for linearizing
a polynomial matrix (with respect to one or several parameters) by passing to the accompanying pencils is suggested. The interrelations
between spectral characteristics of a polynomial matrix and those of the accompanying pencils are established. Bibliography:
12 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 229, 1995, pp. 284–321.
Translated by V. B. Khazanov. 相似文献
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S. Kupin 《Proceedings of the American Mathematical Society》2004,132(5):1377-1383
Let be a Jacobi matrix with elements on the main diagonal and elements on the auxiliary ones. We suppose that is a compact perturbation of the free Jacobi matrix. In this case the essential spectrum of coincides with , and its discrete spectrum is a union of two sequences 2, x^-_j<-2$">, tending to . We denote sequences and by and , respectively.
The main result of the note is the following theorem.
Theorem. Let be a Jacobi matrix described above and be its spectral measure. Then if and only if
-\infty,\qquad {ii)} \sum_j(x^\pm_j\mp2)^{7/2}<\infty. \end{displaymath}">
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Zejun Huang 《Linear algebra and its applications》2011,434(2):457-462
We prove the spectral radius inequality ρ(A1°A2°?°Ak)?ρ(A1A2?Ak) for nonnegative matrices using the ideas of Horn and Zhang. We obtain the inequality ‖A°B‖?ρ(ATB) for nonnegative matrices, which improves Schur’s classical inequality ‖A°B‖?‖A‖‖B‖, where ‖·‖ denotes the spectral norm. We also give counterexamples to two conjectures about the Hadamard product. 相似文献
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Hongying Lin 《Linear and Multilinear Algebra》2017,65(8):1554-1565
We give sharp upper and lower bounds for the spectral radius of a nonnegative matrix with positive row sums using average 3-row sums, compare these bounds with the existing bounds using the average 2-row sums by examples, and apply them to the adjacency matrix and the signless Laplacian matrix of a digraph or a graph. 相似文献
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G. V. Demidenko 《Siberian Mathematical Journal》1994,35(5):917-935
The research was financially supported by the Russian Foundation for Fundamental Research (Grant 93-011-1515). 相似文献