查询词典 toeplitz matrix

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。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

The algorithm reduces the dimension of the input vectors by using the Toeplitz technique for the sample correlation matrix and needs only the first column of the processed matrix.

该算法仅将Toeplitz化后的采样协方差矩阵的第一列元素作为网络输入，从而降低了输入矢量的维数。

Under the helix boundary condition, the Helmhotz matrix has Toeplitz structure with positive definite property.

在螺旋边界条件下，该矩阵H具有Toeplitz结构的正定厄密矩阵，其快速求逆可由谱法LU分解或直解法快速实现。

The algorithms of MUSIC and ESPRIT are introduced, which are the most important algorithms in array signal processing. A method is proposed to make the estimation of the covariance matrix become Toeplitz matrix using the Toeplitz characteristic of covariance matrix.

第2章建立了阵列信号的模型，主要分析了两种无方向模糊的阵列：阵元数大于6的均匀圆阵和非均匀L形线性阵列，并讨论了非均匀L形线性阵列无模糊设计的方法；然后介绍了在阵列信号处理中，两种最主要的算法：MUSIC算法和ESPRIT算法。

Levin pine Act TOEPLITZ symmetric matrix solution composed of linear equations, fewer iterations, the computational complexity is at the end of time, and the calculation accuracy is very high, is a very good way!

详细说明：列文松法解对称TOEPLITZ矩阵组成的线性方程组，迭代次数少，计算复杂读很底，且计算精度相当高，是一种非常好的方法！

To obtain the RCS of dipole-array antennas, the system of electric field integral equations is turned into a linear algebra system whose coefficient matrix is a symmetric block Toeplitz complex matrix by using Calerkin method with pulse basis functions.

为计算线天线阵列的雷达散射截面，用脉冲函数为基函数的Galerkin法将线天线阵列的电场积分方程组转化为一个线性方程组，其系数矩阵是一个对称的二重复Toeplitz矩阵。

Correlation and signal-to-noise ratio of the space sources can affect the resolution of DOA estimation of subspace algorithms. Using this relation, the algorithm changes the correlation and SNR of the equivalent sources by processing the Toeplitz matrix based on the Toep-MUSIC algorithm, so that the resolution of DOA estimation can be improved.

改进算法利用信源间相关性和信噪比对子空间类DOA估计算法分辨力的影响，在Toep-MUSIC算法基础上，通过对Toeplitz重构矩阵的处理，改变了等效信源的相关系数和信噪比，从而使DOA估计分辨力得到提高。

In addition, we make use of the Trench algorithm to save the computation complexity of the Toeplitz matrix inversion required in the proposed algorithms, The Trench algorithm needs only O.

再者可以利用Trench演算法来搭配实现Toeplitz反矩阵进而只需要O的运算量。

Unlike the uniform linear array,the unform circular array is able to provide 360°azimuthal coverage,within the mode space,it has the covariance matrix of the Toeplitz-like struture while all sources are uncorrelated,with which the noise variance can be made out directly,note that will eliminate an eigendecomposition when the ESPRIT is applied,consequently reduce the computational load.

对于均匀圆形阵列，在信源都是非相干信源的情形下，由于模式变换后的协方差矩阵具有类Toeplitz的特征，因此，我们可以根据这种特殊的性质，直接求得噪声分量，因此若使用ESPRIT算法进行波达方向估计，就可以避免第一次特征分解，较大程度上减少了计算量。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。