查询词典 row matrix

The article by several opposite examples illustrated the former method of finding vector group's maximum linearly independent vector group is imperfect, sometimes even lead to wrong results. The method is that make use of row vector as matrix and then change matrix by performing elementary row operation.

本文通过几个反例说明了在求向量组的极大无关组时，以往普遍使用的以向量为行向量作矩阵，再对矩阵作初等行变换的方法是不完善的，甚至会导致错误的结果。

Applying this transformation once, we can make the degree of the first r rows of the polyphase matrix decrease one order, and avoid decreasing the degree row by row as the traditional methods. This method is not restricted by the length of the filter, and needn't factorize the polyphase matrix into a special form.

本文对紧支撑小波构造方面的一些问题进行了探讨和研究，得到一系列有意义的结果，主要包括：在一元小波构造方面，给出由m-带紧支撑正交插值尺度函数显式构造相应正交小波符号函数的公式，这部分内容在第2章中给出。

On the other hand, a row-major matrix packs each row of the matrix in a single constant register.

另外一种对齐方式行对齐把每一行保存在一个常数寄存器中。

Column-major order means that each matrix column will be stored in a single constant register, and row-major order means that each row of the matrix will be stored in a single constant register.

列顺序意味着每列矩阵都可以被保存到一个简单的常数寄存器中，行矩阵意味着每行都可以保存到一个常数寄存器中。

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

Boley and Golub used Gauss quadrature formula to solve the inverse problem, but I used other different methods and thoughts. I obtained a new decomposition form of orthogonal matrix consisted by the unit eigenvectors of Jacobi matrix and found the direct relations between the first row and the orther rows of this orthogonal matrix.

Boley和Golub的算法是用高斯求积公式，而本人另辟蹊径，推出了关于Jacobi矩阵单位特征向量组成的正交阵的一种分解形式，并找到此正交阵第一行和其它行的直接联系，由此避免了通过求特征多项式计算尾主子阵的特征值，得到了新的稳定解法。

Any square matrix (a matrix is square if its number of rows equals its number of columns) is an identity matrix if all values are 0 except those diagonal from the top left to the bottom right which instead have the value of 1 - the locations where the row position equals the column position.

任何方形矩阵(一个矩阵的行，列数相同)，只要是从左上角到右下角这条对角线上的元素值为1，其余为0的，就是一个单位矩阵。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"