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。

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 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。

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。

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準形在矩阵问题中的应用。

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。

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。

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。

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。

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。

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。

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。