查询词典 upper triangular matrix

Inverse algorithm adjoint matrix method, used to solve determinant of the upper triangular matrix.

求逆算法采用伴随矩阵法，求解行列式采用化上三角矩阵法。

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 semi singular value decomposition A=USR is suggested,where U is an orthogonal matrix,S is a diagonalizable matrix and R is a upper-triangular matrix.

提出了半奇异值分解A=USR，其中U为正交矩阵，S为对角矩阵，R为上三角矩阵。

In this paper,first,we analysis that there is an upper triangular matrix or a lower triangular matrix which is similar to a square matrix.

而当n比较大时，若A中的元素含非零元素比较多，这时求特征多项式有时也比较复杂。

A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.

实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换，得到分块上三角或下三角矩阵，使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

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。

In section one, We characterize when matrix ring, upper triangular matrix ring and trivial extension are simple J-injective rings.

在文章的第一部分我们给出了全矩阵环、上三角矩阵环和平凡扩张是单J—内射环的刻划。

The main contents are as follows:(1) Derive recursive Householder transformation formula for transforming the original rectangular matrix column by column into upper triangular matrix, solve the problem of fast upper triangularization of columnvariable matrix.

主要开展的工作有：（1）、导出长方矩阵逐列上三角化的递推Householder变换公式，解决了可变列矩阵的快速上三角化问题。

The HIP algorithm transforms the channel matrix column orthogonally based on Householder transform to avoid the operation of upper triangular matrix and sort the channel matrix only once.

该算法对信道矩阵按列进行Householder正交变换，避免了求上三角矩阵的运算并且仅对信道矩阵进行1次排序。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。