查询词典 conformable matrices

He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues.

然后，他开始与线性方程组，矩阵和高斯消去的讨论，并着手讨论向量空间，线性映射，标产品，决定因素和特征。

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加权Moore-Penrose逆是一种特殊的广义逆，它不仅是许多数学分支的基本工具，而且在经济学、信息处理、自动控制等其他领域有着广泛的应用，近年来，结合环、半环等更一般的代数系统的矩阵广义逆的研究，不仅将广义逆的理论和方法作了更加深入的推广，而且也成了刻画代数结构的有力工具。

We denote by M_n and S_n the space of n×n fullmatrices and the space of n×n symmetric matrices over F, respectively. Let GL_nbe the general linear group over a field F.

设S_n是域F上n阶对称矩阵空间，M_m是域F上m阶全矩阵空间，GL_n是域F上n阶可逆矩阵群。

Least-squares problem of the real symmetric matrices is discussed and the expression of general solution is given.

首先讨论了问题的最小二乘解，给出了解的一般表达式。

Least-squares problem of the real matrices is discussed and the expression of general solution is given.

首先讨论子阵约束下实矩阵反问题的最小二乘问题，给出了解的一般表达式。

Firstly, the equivalency of case deletion model and mean-shift outlier model is investigated; and several diagnostic measures, such as Cook distance, generalized leverage, residuals, and likelihood ratio statistics et al., are obtained. Secondly, we investigate the local influence for the models, several commonly-used perturbed models are studied, and the close forms of influence matrices are obtained. At last, a real example illustrates that our method is available.

首先，证明了均值漂移模型与删除模型的等价性，并得到了残差、Cook距离，似然比统计量等诊断统计量；其次研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；并分别对常见的扰动模型进行分析，得到了计算影响矩阵的简洁公式；然后，通过实例验证了方法的可行性。

By use of the generalized inverse of the partitioned matrices a new expression of the BLUE is given.

利用分块求逆的技术，给出BLUE的一种新的表达式，其计算量比直接利用C.R。

We will systematically study some generalized inverse characterize value problems of matrices in this M.S.

本文在研究这些矩阵的基本性质的基础上，给出了解的表达式以及相应的算法和数值例子。

Generalized inverse of matrices are involved basically when matrix is used, especially in numerical analysis and mathematical statistics.

计算机的广泛应用为矩阵理论的应用开辟了广阔的应用前景。逆矩阵的概念在矩阵理论中占有重要位置，尤其求解方程组问题，它显得更为重要。

In this paper, three further problems related to statistics, such as{2}- generalized inverse, the singular approximating and the ordering relation of matrices are in troduced in the matrix theory.

而月，随着研究的深人和应用的发展，矩阵与统计学之间的关系会愈来愈深刻。一方面，统计学对矩阵研究提出了许多新的研究课题，刺激了有关矩阵理论研究的发展。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。