| 1. | Arbitrary perturbation bounds on diagonalizable matrix
可对称化矩阵特征值的任意扰动 |
| 2. | Solvability conditions for the inverse problem of a class of the quaternion matrix
一类可对称化矩阵反问题有解的条件 |
| 3. | Secondly , the symmetrical prosperity of wavelet ' s base is discussed in chapter 3
其次，讨论了紧支集正交小波的对称化问题。 |
| 4. | Pre - symmetry regularized method for positive definite symmetrizable system of linear algebraic equations
关于正定可对称化线性代数方程组的预对称正则化算法 |
| 5. | In 1990s based on the eigenfunction method of representation theory of groups , a new method , the symmetrized boson representation ( sbr ) method , was brought forward
90年代，陈金全等人在点群的表示理论上提出了一种新的方法，对称化玻色表象方法( sbr ) 。 |
| 6. | By the properties of k - th order symmetric function , we obtained some estimations of integral mean value of the solutions of the boundary value problems for some kind of special partial differential equations in dk which can be changed into laplace equations in the unit circle by way of suitable transform
另外， d _ k上的某一类特殊的偏微分方程经过适当变换后转化为单位圆上的laplace方程，其边值问题的解的积分平均估计可由k次对称化函数的性质较好给出。 |
| 7. | This article shows a new method to construct symmetric compacted orthogonal wavelet packet basis ： the original compacted orthogonal wavelet basis and scaling function are decomposed into symmetric and anti - symmetric parts respectively ， then we prove that three of four parts is also wavelet basis and another is scale function . we find it simple to process 1 - d signal . finally , by these results above , all the results above are applied to dsp
本文提出一种新的对称化方法，把一大类紧支集实值的非对称正交小波函数分解成对称和反对称两部分，并证明了其相应的两部分仍然构成对称和反对称的紧支正交小波基，而且我们发现尺度函数对称和反对称部分分别是某子空间的尺度函数和小波函数。 |
| 8. | The compact support wavelet which is real and orthogonal isdivided into two parts : symmetrical part and anti - symmetrical one . it proves that both the two parts are still made into compact orthogonal wavelet base which are symmetrical and anti - symmetrical respectively . it proves that symmetrical part and anti - symmetrical one of scale function are scale function and wavelet function in some subspace respectively
本文提出一种新的对称化方法，把一大类紧支集实值的非对称正交小波函数分解成对称和反对称两部分，并证明了其相应的两部分仍然构成对称和反对称的紧支正交小波基，而且我们发现尺度函数对称和反对称部分分别是某子空间的尺度函数和小波函数。 |
| 9. | Besides the preconditioning techniques , there arc many other methods to turn the original matrix to a new one of better properties . pre - symmetry is such a kind of technique . cg is stable and efficient , but it can only be used to symmetric matrices
除预条件外，尚有许多其它的预处理技术将原矩阵化为性质较好矩阵，预对称化即是其中之一， cg迭代法不仅效率高，而且稳定性好，但却只能应用于对称矩阵，采用预对称技术将非对称矩阵化为对称矩阵，就能利用cg法进行高效计算。 |
