| 1. | The inverse problem of the linear equations ax
在满秩次对称矩阵类中的反问题 |
| 2. | Non - singular matrix
满秩矩阵 |
| 3. | The generalized inverse of partitioned matrices and the expression of generalized inverse using maximal nonsingular submatrix are discussed
摘要讨论了分块矩阵的广义逆，以及用矩阵的满秩子块表示广义逆。 |
| 4. | The full - rank matrix is employed to find the complex - valued weights between hidden and output layers by the least mean square algorithm
利用这个满秩矩阵，通过最小平方算法就可以求得隐层和输出层之间的复数权值。 |
| 5. | We can find a polynomial model of a time series in case its associated matrix is not diagonal and not of full rank by using the transformations of the exponential and the logarithm
对于不能对角和不满秩的时间序列矩阵，运用指数对数的可逆变换及相关的列变换化为满秩可对角的时间序列矩阵，从而找到代数多项式模型。 |
| 6. | By the definition of incremental error quaternion in the propagation equation of the full rank covariance matrix is derived , consequently the singularity of the covariance matrix caused by the constraint on the quaternion normalization is maintained
并且通过定义增量误差四元数,推导出满秩空间中误差协方差阵的传播方程,解决了由于四元数正交约束所造成的协方差阵奇异性问题。 |
| 7. | On the basis of the homotopy arithmetic , this paper puts forward a uniform model of nonlinear least square ( ls ) adjustment , which can be used not only for the nonlinear ls adjustment of the rank defect problems , but also for that of the rank full problems
摘要基于非线性同伦思想，提出了非线性同伦最小二乘平差统一模型，该方法既可适用于满秩网非线性最小二乘平差，也可适用于秩亏网非线性最小二乘平差。 |
| 8. | The concept of row ( column ) transposed matrix and row ( column ) symmetric matrix is given , their basic property is studied , and the formula for full rank factorization and orthogonal diagonal factorization of row ( column ) symmetric matrix are presented , which can reduce dramatically the amount of calculation and save the cpu time and memory without loss of any numerical precision
摘要提出了行（列）转置矩阵与行（列）对称矩阵的概念，研究了其性质，给出了行（列）对称矩阵的满秩分解和正交时角分解公式，极大地减少了行（列）对称矩阵的满秩分解和正交对角分解的计算量与存储量，且没有降低数值精度。 |
| 9. | A . p . verbyla and w . n . venables ( 1988 ) extended the ordinary growth curve model into the extension of growth curve model and obtained an estimate of the unknown parameter matrix under the conditions that the matrix of observations follow multivariate normal distribution , where every design matrix has full column rank [ 7 ]
A . p . verbyla和w . n . venables ( 1988 )将gc模型进行了推广，得到了推广增长曲线模型( theextensionofgrowthcurvemodel简称egc模型) ，并在观察矩阵服从正态分布，各设计矩阵均为列满秩的条件下，给出了参数矩阵估计值的一种算法。 |
