共查询到20条相似文献,搜索用时 174 毫秒
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提出了求一类块三对角矩阵A的特征值和特征向量的方法,求得了该类矩阵的特征值和特征向量的表达式,并写出了用迭代法解该类方程组Au=f时迭代矩阵的特征值. 相似文献
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一类马尔可夫链方程的求逆过程进行研究,该求逆是用该类马氏链解析地研究客户关系管理问题的关键环节,研究给出了该类矩阵逆矩阵的解析解. 相似文献
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通过将两个Toeplitz矩阵拼凑成两个高阶上下三角形Toeplitz矩阵,构造出一种两个Toeplitz矩阵相乘的快速算法,其乘法运算次数为3n2-3n+1. 相似文献
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设A为数域F上的三阶矩阵,a是F上的三维向量,a,Aa,A^2a线性无关,且3Aa-2A^2a-A^3a=0,分别利用相似矩阵、特征方程、特征值和特征向量的定义及性质,可以得出求矩阵A的特征值的4种方法. 相似文献
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圆盘定理的改进与弱连对角占优矩阵 总被引:6,自引:1,他引:5
本文对圆盘定理进行了改进,给出了特征值分布新的估计,由此引出了弱连对角占优矩阵,讨论了其基本性质,重点分析了该类矩阵的逆与分裂特征,证明了在该类矩阵条件下H-相容分裂是收敛分裂,并给出迭代矩阵谱半径的上界及SOR算法中参数ω的选取范围。 相似文献
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Lj. Arambašić 《Linear and Multilinear Algebra》2019,67(8):1685-1700
In this paper we establish a connection between full spark frames and totally nonsingular matrices. Then we provide a method for constructing infinite totally positive matrices which make up a subclass of the class of totally nonsingular matrices. Using this method we then construct a family of infinite totally positive matrices parameterized by non-negative numbers which contains, as the simplest case, the infinite Pascal matrix. The paper ends with some examples and comments on full spark frames. 相似文献
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In this paper we have proved a theorem for infinite triangular matrix using new techniques. 相似文献
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Luciano Mendez-Naya 《International Journal of Game Theory》1998,27(2):219-229
This paper approaches infinite matrix games through the weak topology on the players' sets of strategies. A new class of
semi-infinite and infinite matrix games is defined, and it is proved that these games always have a value and optimal strategies
for each player. Using these games it is proved that some other important classes of infinite matrix game also have values.
Received April 1996/Revised version June 1997/Final version September 1997 相似文献
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Diagonalization of row-column-finite infinite matrices 总被引:8,自引:0,他引:8
Shiqiang Wang 《中国科学A辑(英文版)》1997,40(12):1279-1286
A complete solution to the diagonalization problem (under equivalence) for row-column-finite infinite matrices over a general
field is given
Project supported by the National Natural Science Foundation of China 相似文献