| 1. | Least square solutions of matrix equation axb
范数双对称解 |
| 2. | Fast algorithms for the minimal norm least square solutions of loewner matrix
方程组极小范数最小二乘解的快速算法 |
| 3. | Based on the conclusion above , the least square solutions are derived using an iterative least square algorithm
针对这一结论，提出了一种最小二乘迭代算法来得到精确的最小二乘解。 |
| 4. | Abstract : a simple method of searching the least squares solution to the contradictory matrix equation ax = b is given by means of elementarily transforming of the matrices
文摘:用矩阵初等变换的方法给出了求不相容矩阵方程ax = b最小二乘解的一种简便方法。 |
| 5. | Least squares solution of equation is used to calculate and adjustment transformation matrix at same time , transformation matrix is used to calculate the 3 - axis angle of star sensor . so is very fast and precise
利用方程组的最小二乘解求取转换矩阵，通过转换矩阵计算星敏感器的三轴姿态角，使姿态计算和平差同时进行，具有较高的姿态计算精度和计算速度。 |
| 6. | In this paper , we discusse the stability of perturtation of m - p inverses of closed operator function and then the stability of least square solution of elliptic partial differential equations of second order with unbounded coefficients
本文讨论了闭算子的m - p广义逆的扰动,并由此讨论首项系数本质无界的二阶散度型椭圆型微分方程的最小范数极小二乘解的稳定性 |
| 7. | When the solution of equations is unique , unique solution is given ; when the number of the solution of equations is infinite , mininum norm solution is solved ; when the solutions of equations don ' t exist , the mininum norm least squares solution is solved
若方程组有唯一解，求出其唯一解；若方程组有无穷解，求出其极小范数解；若方程组无解，求出其极小范数最小二乘解。 |
| 8. | A least squares solution via singular value decomposition is used to solve the matrix equation . computations with synthetic data , where the near field of several typical antenna configurations are got over various geometric surface , illustrate the accuracy of the method
为了证明本方法的计算准确性，我们给出了几个不同辐射源在不同近场测量几何面下的近场和远场计算结果，与解析公式的计算结果相比较，一致性很好。 |
| 9. | Some linear approaches reported recently without postprocessing to fir system identification are discussed . this paper improves the question of the promulgation of error due to estimating middle parameter frequently in other related methods , and presents a direct algorithm of estimating parameter without estimating middle coefficient . through proper mathematic means , for example , singular value decomposition ( svd ) or total - least squares solution ( tls ) , this algorithm smoothes the noise and improves effectively the estimation performance
和2阶统计量相比，高阶统计量不仅能够有效抑制高斯有色噪声的影响，而且能够揭示随机过程的相位特性，因此，高阶统计量是解决非高斯、非最小相位、非因果系统和有色高斯噪声环境的系统辨识和处理问题的重要分析工具。 |
| 10. | The paper is built as follows . in chap 1 , we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first . the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的结构如下：第一章先给出了vandermonde方程组的极小范数最小二乘解的一些实际应用背景，然后通过构造方阵v ~ tv (或vv ~ t )并求其逆矩阵导出了求以m n阶vandermonde矩阵及其转置，以及m n阶跳行vandermonde矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法。 |
