直接法中的平方根法，就是利用对称正定矩阵的三角分解而得到的求解对称正定方程组的一种有效方法。
Square root method is one of direct methods, which is an effective method for the solution of symmetrical positive liner equations through triangle decomposition of symmetrical positive matrix.
损伤弹性矩阵的计算符合连续介质力学的对称、正定等一般原理。
The calculation method of elasticity matrix is in accordance with the principles of symmetry and positive definite in continuum mechanics.
该方法的主要优点在于其迭代矩阵总保持对称正定。
The main advantage of the proposed method is: the iterative matrix is symmetric and positive definite at ea ch iteration.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
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 stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the unique symmetric positive semidefinite matrix.
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.
本文给出了全正定矩阵的概念，讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
In this paper the concept of the full definite matrix is given, some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
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。
Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite.
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。
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.
当特征根难以求出而特征根的对称式易求时，半正定矩阵的算术平方根可直接由矩阵的本身的性质来表示。
On the other hand, square roots of semi-positive matrices can be expressed by the symmetric expression of eigenvalues, if the eigenvalues of semi-matrices are difficult to compute.
指出非对称广义正定矩阵的主子矩阵一般不是非对称广义正定矩阵。
The principal submatrix of the asymmetrical generalized positive definite matrix is not asymmetrical generalized positive definite matrix in general.
讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
Some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。
A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.
本文考虑当系数矩阵为正定对称矩阵，H阵及L阵情况下TOR型方法的收敛性。
We consider the convergence of TOR-Type method under the conditions when the coefficient matrices are positive definite symmetric matrices, H-mat - rices, L-matrices.
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 stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the …
本文给出了全正定矩阵的概念，讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
In this paper, we discuss properties of positive definite complex matrix, and the relation between it and the Hermite positive definite matrix.
本文给出了全正定矩阵的概念，讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
In this paper, we discuss properties of positive definite complex matrix, and the relation between it and the Hermite positive definite matrix.
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