对给定的特征值和对应的特征向量，提出了对称正交对称半正定矩阵逆特征值问题及最佳逼近问题。
From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.
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。
Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples.
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.
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。
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。
This paper defines the generalized symmetric matrix and orthogonal matrix and discusses their properties and relations between them.
研究实对称矩阵、对角矩阵以及欧氏空间的规范正交基。
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。
The real symmetric matrix, the diagonal matrix and the orthogonal basis of n-dimensional Euclidean space are studied.
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