The modern natural science has proved that nature is unified, symmetric and definite, but also diversified, unsymmetric and stochastic. Art has already embodied the same law in its long time creation.
现代自然科学证实：自然既是统一的、对称的、确定的，又是多样的、不对称的、随机的，然而艺术早已在其创作中体现了这些规律。
Some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
At the same time, a new proof is given for the sufficient and necessary condition of the SOR method applied to symmetric and positive definite system.
进一步丰富了SOR理论，同时给出了SOR方法在对称正定条件下收敛的充要条件的又一新证明。
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。
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 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.
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。
The main advantage of the proposed method is: the iterative matrix is symmetric and positive definite at ea ch iteration.
该方法的主要优点在于其迭代矩阵总保持对称正定。
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。
It is equivalent to the conjugate residual method (CR) in the case of symmetric positive definite.
在处理对称正定问题时，它等价于共轭残量(cr)法。
The paper discusses the use of symmetry principle in the evaluating of definite integrals on both the symmetric interval and non-symmetric interval.
对称区间上的定积分和一类非对称区间上的定积分，均可用对称原理简便计算。
From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.
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。
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.
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.
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。
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