编程中采用了稀疏矩阵向量相乘的优化技术。
Optimization techniques for the sparse matrix vector multiplication are adopted in programming.
导出了多变量控制系统的标准化系统矩阵向量方程。
The standard system matrix vector equations on multi-variable control system are educed.
文中首先总结按行划分和按列划分的并行矩阵向量乘法在原理上的异同。
First summarizes the differences on principle between two kinds of parallel algorithm of matrix-vector multiplication, namely, divided by row and divided by column.
分层快速多极算法被用来加速用迭代法求解线性方程组时的矩阵向量乘积的运算。
Multilevel fast multipole method is used to fast calculate the matrix-vector product when we solve the linear system by iterative method.
基于矩阵体积的概念，引入矩阵向量正交度，对病态问题的行列式诊断方法进行了推广和扩展。
Based on the conception of the matrix volume, we presented the definition of the orthogonal degree of the matrices, generalized and extended the determinant method mentioned above.
每次只传送一个元素是可以的，但我们通常有一个列表或向量或矩阵的信息要在客户机和服务器之间来回传送。
Passing one element at a time is fine, but we often have lists or vectors or matrices of information that we want to pass back and forth between our client and server.
不是数字，不是向量，也不是矩阵，它们是不同的数学对象。
And they are not Numbers, they are not vectors, they are not matrices, they are a different kind of object.
一个向量——例如，摄像机位置——乘以恰当的平移矩阵从而得到相应移动的向量。
A vector — for example, the camera position — multiplied by the correct matrix for translation results in a vector that moves accordingly.
假设有一个4x4的矩阵，我们希望将其与另外一个4x1的向量进行乘法操作。
Let's say we have a 4x4 matrix that we want to multiply with a vector (a 4x1 matrix).
是一个矩阵乘以一些未知的向量，等于一些已知的向量，怎么解？
X It's a matrix times some unknown vector, x, B equals some known vector, B How do we solve that?
使用MPI进行并行编程来实现矩阵与向量的乘法。
Parallel programming using MPI to multiply a matrix by a vector.
对于用c编写代码的项目，Meschach(读作me - shark)提供了例程，用于矩阵和向量的运算。
For projects coded in c, Meschach (pronounced: me-shark) provides routines for operating on matrices and vectors.
我们的第一个问题是将一维数据向量转化为数据点的二维矩阵。
The first problem we have is turning a 1-d data vector into a 2-d matrix of data points. Then we would like to visualize this 2-d data set.
好，我将矩阵i和向量x 1, x 2,x3相乘，第一个元素是什么？
OK, so let's say I multiply the matrix I with a vector x1, x2, x3. What will the first entry be?
许多需要真正的并行计算的问题都通过在向量和矩阵上执行操作的科学计算解决了。
Many problems that require true parallel computing are solved via scientific calculations that perform operations on vectors and matrices.
我认为MATLAB是有特定处理对象的语言，它主要，面向矩阵和向量等。
I'd argue that MATLAB is basically a targeted language it's targeted at matrices and vectors and things like that.
矩阵的列向量。
在卫星的状态估计过程中应用推广的序列估计算法，借助数值积分方法积分状态向量和协方差矩阵。
For the estimation of satellite state, the extended sequential estimation algorithm was applied. The numerical method was used to integrate state vector and error covariance matrix.
CwMtx中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。
The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
考虑在工作站机群上实现大型稀疏矩阵和向量乘的负载平衡。
The load-balanced multiplication of a large sparse matrix with vector on workstation cluster is considered.
取这三个列向量的线性组合，试着去找到b，事实上，针对这个矩阵的答案是对的。
I'm taking linear combinations of these 3 columns and I'm trying to find b, and actually the answer for this matrix will be yes.
和Y是向量的大小相同或矩阵的大小相同。
And Y are vectors of the same size or matrices of the same size.
矩阵迭代法是求矩阵的第一阶特征值与特征向量的一种数值方法。
Matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix.
本文是采用向量、矩阵和最优化设计等机构学的分析方法来解决这一课题的。
The problem can be solved with the analytic methods of mechanisms of vector, matrix and optimum design.
这个矩阵可以利用正交向量简化。
This matrix can be simplified by using the properties of orthogonal vectors.
取得的主要矩阵，或将一个向量到对角线的主要矩阵对角线。
Get the main diagonal of a matrix, or put a vector into the main diagonal of a matrix.
采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。
Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。
Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
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