XVI.—Some Continuant Determinants arising in Physics and Chemistry—II
XVI.—Some Continuant Determinants arising in Physics and Chemistry—II
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XVI.—物理和化学中出现的一些连续决定因素—II
DOI：
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发表时间：
1952
期刊：
影响因子：
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通讯作者：
D. E. Rutherford
中科院分区：
文献类型：
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作者：
D. E. Rutherford
概要本文中获得的一些公式可能会应用于有关“原子”矩形晶格的问题，每个原子都受到其近邻的影响。考虑的一些决定因素适用于最近和下一个最近的邻居都有效的情况。逆的某些类型的矩阵被发现，这些可能被证明是有价值的，无论是在解决系统的线性方程组，如出现在松弛问题，或在确定潜在的根源矩阵可能出现的问题，在应用数学。
Synopsis Some of the formulae obtained in this paper are likely to find application in problems concerning a rectangular lattice of “atoms”, each of which is under the influence of its near neighbours. Some of the determinants considered apply to cases in which both the nearest and the next nearest neighbours are operative. The inverses of certain types of matrices are found, and these may prove to be of value either in solving systems of linear equations such as arise in relaxation problems, or in determining the latent roots of matrices which may occur in problems in applied mathematics.