A real symmetric matrix a can be expressed as?.
一个实对称矩阵a能被表示为？。
A real symmetric matrix A can be expressed as ??.
它们可以方便地表示成下列矩阵形式。
Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix.
介绍了对称矩阵的两特征值问题，并给出了计算公式。
By the fractional method, characterized the linear preservers of the adjoint function on the symmetric matrix module.
应用分式化方法刻画了唯一分解环上对称矩阵模的保持伴随函数的线性变换的形式。
The real symmetric matrix, the diagonal matrix and the orthogonal basis of n-dimensional Euclidean space are studied.
研究实对称矩阵、对角矩阵以及欧氏空间的规范正交基。
A recursive algorithm for calculating the eigenvalues of a real symmetric matrix based on LDLT decomposition is given.
基于线性代数与矩阵理论，给出利用LDLT分解计算实对称矩阵特征值的递归算法。
The problem of computing a few of the largest (or smallest) eigenvalues of a large sparse symmetric matrix is investigated.
研究了计算大型稀疏对称矩阵的若干个最大或最小特征值的问题。
By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.
它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。
This paper defines the generalized symmetric matrix and orthogonal matrix and discusses their properties and relations between them.
本文给出了广义对称（反对称）矩阵和广义正交矩阵的概念，讨论了它们的性质及相互之间的关系。
The paper discusses sub-diagonal and real anti-sub-symmetric matrix, and gives several properties of these two kinds of special matrix.
针对次对角矩阵与实反次对称矩阵进行了讨论，给出了次对角矩阵的特征值、实反次对称矩阵的次特征值及次特征向量等的性质。
Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples.
通过实例探讨了实对称矩阵的正交相似变换标准形在矩阵问题中的应用。
As for computing the largest eigenvalue and its eigenvector of a higher-order real symmetric matrix in the algorithm, the power method is used.
对于算法中涉及的求高阶实对称阵的最大特征值及其特征向量，采用幂法加以实现。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.
利用实对称矩阵的半正定之等价条件给出了复正半定矩阵的几个等价条件。
For us to extract wavelet by least square method in short window can derive a symmetric matrix algorithm, which is different from the algorithm of commonly used Toeplitz matrix.
在短时窗中应用最小平方法提取子波，可以导出一种对称矩阵算法。它不同于常用的托布里兹矩阵算法。
However in studying the transpose of matrix much focus has been given on the definition of symmetric matrix and anti-symmetric matrix while their properties have not been fully explored.
对称矩阵和反对称矩阵作为特殊矩阵无论在矩阵理论方面，还是在实际应用方面都有重要的意义。
To obtain robust stability and lower guaranteed cost of interval matrix fault tolerant systems, a method of determining the minimum upper bound of the real symmetric matrix set is proposed.
为了获得强大的稳定性和更低的区间矩阵的容错系统，保证成本的方法确定最小上界的实对称矩阵集。
Based on the spectral set of skew-symmetric matrix, the result that a class sign pattern matrix with zero diagonal is unique inertia was proved by using orthogonal similarity transformation.
本文基于反对称矩阵的谱集，采用正交相似变换，得到一类具有零对角的符号模式矩阵具有唯一惯量的结论。
Moreover, when A is a nondegenerate, symmetric and copositive plus matrix, the sequence converges to a solution of the problem.
此外，当矩阵为非退化对称双正加阵时，该序列收敛。
This matrix is symmetric and banded, the band being equal to four.
这个矩阵是对称的且是带状的，带宽等于四。
Matrix to determine whether it is reflexive and symmetric, Discrete Mathematics in the binary relation.
判断矩阵是否是自反的，对称的，离散数学中的二元关系。
The generalized reflection-transmission coefficient matrix method is developed to study the acoustic wave propagation in a layered cylindric symmetric medium.
本文将广义反射、透射系数矩阵方法推广用于研究声法测井中的声波传播问题。
In this paper, the author gives a kind of expression of symplectic matrices by using the result that any matrix on a field is a product of two symmetric matrices.
通过运用在域上任何矩阵都是两个对称矩阵乘积的结论，给出了一种辛矩阵的表示方法。
The stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the unique symmetric positive semidefinite matrix.
用这个方法修正的刚度矩阵不仅满足特征方程，而且是唯一的对称半正定矩阵。
The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.
ICCG方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。
In this paper, a kind of inverse eigenvalue problem which is the reconstruction of real symmetric five-diagonal matrix by five eigenvalues and corresponding eigenvectors is proposed.
本文讨论了一类由五个特征值和相应特征向量构造实对称五对角矩阵的特征值反问题。
In the above work, the coupling configuration matrix and the inner-coupling matrix are not necessary symmetric.
在我们的工作中，耦合矩阵和内联矩阵并不要求是对称的。
Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite.
最后得到一个矩阵型的位移广义本征值方程，刚度矩阵对称、正定。
We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.
利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。
We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.
利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。
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