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A new fast algorithm of the minimal norm least squares solution for the linear system whose coefficient matrix is an m×n Loewner-type matrix with full column rank is given by forming a special block matrix and researching its triangular factorization.

通过构造特殊分块矩阵及其三角分解给出了求秩为n的m×n阶Loewner型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，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型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，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

Fast algorithm of minimal norm least square solution for Cauchy linear system;2. For the m×n Cauchy-type matrix with full column rank,the fast algorithm of the minimal norm least square solution to the linear system Cx=b was obtained by construction of a special block matrix and study of the triangular decomposition.

对于秩为n的m×n阶Cauchy型矩阵C，通过构造特殊分块矩阵并研究其三角分解，进而得到了线性方程组C x=b的极小范数最小二乘解的快速算法，所需运算量为O+O(n2)，而通常构造法方程组的方法所需运算量为O(m n2)+O(n3)，用正交化法虽然避免了构造法方程组，但所需的运算量更大些。

Also in this column is a report on DMC 2010, which will soon be opened in Shanghai.

同时关注到的，还有即将在上海举行的中国国际模具技术和设备展览会。

In the report, the column width is determined by the width of the columns in the ListView.

在这份报告中，列的宽度是取决于列在ListView的宽度。

Scroll the report column is usually controlled through the use of Javascript Technology ...

滚动报告栏通常是通过利用Javascript 技术控制。。。

Please use English to write a short composition for high school student's English report education column.

请你用英语给中学生英文报教育专栏写一篇短文。

Please make it clear in the Remark column, if the report duplicate is needed."

"5、如需要检测报告副本，请在备注栏说明。"

Sergeant, we have a report a column of German tanks is only 15 kilometers up that road.

这位上校说：中士，我们得到报告一列德国坦克队在那条路上和我们相距仅十五公里的地方。

Note that the additional lines will change after you sort a column in report mode.

请注意，其他行会改变排序后，在报告模式列。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。