本文讨论了矩阵的对角化在线性循环数列通项公式中的应用。
This paper discusses applications of diagonalization of the matrix in the general formula of linear recurrent sequence.
通过哈密顿量矩阵的对角化，对电子和空穴间的库仑相互作用进行了精确处理。
The Coulomb interaction between the electron and the hole is treated accurately by the direct diagonalization of the Hamiltonian matrix.
二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题。
One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.
最后让明了块复合矩阵可对角化的一个充要条件。
Finally, a sufficient and necessary condition of the diagonalizable block compound matrices is proved.
在通常情况下，有特征根的实对称矩阵对角化方法。
This article Presents a method for diagonalization of the real symmetrical matrix with multiple eigenvalues.
证明置换理想上的正则矩阵可以通过满矩阵对角化。
We show that every regular matrix over exchange ideals admits a diagonal reduction by full matrices.
本文给出矩阵可对角化的一个充要条件。
In this paper we give a necessary and sufficient condition on diagonalization matrix.
给出两个矩阵同时合同对角化与同时相似对角化的一些条件。
The conditions of simultaneous diagonalization of two matrices are given.
证明并给出一种构造可对角化矩阵的相似逆变换矩阵的新方法。
This paper proves and provides a new method for constructing the similarity inverse transformation matrices of diagonalization matrix.
本文在位移元本征应力模式基础上引进调节参数，同时，利用矩阵H对角化方法计算杂交元应力子空间的本征应力模式，然后由此方便有效地计算特征值，从而大大提高了计算效率。
The parameters are introduced based on the natural stress modes of the displacement element, and the method of matrix H diagonalization was introduced to improve the calculation of the natural.
提出了一种新的基于相关矩阵对角化的代价函数作为衡量输出信号独立性的测度。
A new cost function based on the diagonalization of correlation matrices is proposed to measure the independency of output signals.
为了降低需要对角化的最终哈密顿矩阵的维数，采用连续对角化截断方法。
Successive diagonalization and truncation technique was used to reduce the size of the final Hamiltonian matrix to be diagonalized.
方阵是否可以对角化，是矩阵的一条很重要的性质。
In this note, a necessary and sufficient condition of diagonalization for square matrix is considering.
该算法基于通信源信号的统计特性，利用数学上通过矩阵初等变换实现矩阵对角化的原理对MIMO信道矩阵实现了对角化。
This algorithm diagonalizes the MIMO channel matrix based on the statistics of the source signals by using the elementary matrix transformation in mathematics.
最后根据状态矩阵的左右特征向量系的正交性，对给出的状态矩阵进行对角化。
State matrix is diagonalized according to the orthonormality of left and right eigenvector series about the state matrix.
引入弱可逆矩阵，并用它来刻画矩阵可对角化的充要条件。
This paper introduces the weak invertiable matrix and characterizes the conditions of diagonalization of a matrix by using weak invertiable matrix.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
这里主要也是根据第二部分的思想，将块循环矩阵对角化，从而简化了我们的运算。
The calculations are simple to given the diagonalization of circulate matrix according the second part in the paper.
对于一般的带状矩阵，详述对对称与非对称三对角化矩阵做QR分解后，Q矩阵与R矩阵的稀疏元素分布型态。
For a general banded matrix, discuss the sparsity pattern of the Q and R matrices from the QR decomposition of symmetric and non-symmetric tridiagonal matrices.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
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