推导了三步光电离的场方程组和原子布居的密度矩阵方程组。
The equation of three step photoionization for describing the field and the density matrix as well as the atomic population was derived.
本文提出了求一类矩阵方程组的最小二乘中心对称解的一种迭代法。
In this paper, an iterative method is presented to find the least squares centrosymmetric solution to a kind of matrix equations.
该算法可以判断矩阵方程组是否有自反矩阵解，并在有自反矩阵解时，可以在有限步迭代计算之后得到矩阵方程组的一个自反矩阵解或者极小范数自反矩阵解。
By this iterative method, the solvability of the equations can be determined automatically, and its reflexive matrix solution or least-norm reflexive matrix solution can be got within finite steps.
按最小二乘原理，建立了球面坐标系下的法方程组及其系数矩阵的具体形式。
Acoording to the least square principle the normal equations and its coefficient matrix are performed.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
做为基本计算单元之线性方程组，以矩阵形式表示线性方程组，基础矩阵运算。
Linear equation sets as basic computational unit, expressing linear equation sets in matrix form, basic matrix operations.
在线性代数方程组已解出之后，另一个课题需要修改它的系数矩阵，从而得到一个新的方程组。
After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.
直接法中的平方根法，就是利用对称正定矩阵的三角分解而得到的求解对称正定方程组的一种有效方法。
Square root method is one of direct methods, which is an effective method for the solution of symmetrical positive liner equations through triangle decomposition of symmetrical positive matrix.
文章利用近似逆矩阵构造了一类求解线性方程组的并行迭代算法。
In this paper, a parallel iterative algorithm for linear equations is given by approximating inverse of a matrix.
研究了矩阵列(行)一致扰动的几个性质，并应用于线性方程组。
Several properties about matrix with consistent perturbation are studied and applied into linear equations.
本文研究了稀疏矩阵技术在微型机上解电力网络的节点方程组。
The node equation set of the electric network is solved on a microcomputer with sparse matrix technique.
探讨在利用对应直线进行摄像机外部参数校正的过程中，如何快速简便地确定齐次方程组系数矩阵秩的问题。
In camera calibration with line correspondences, it is important to determine the rank of the coefficient matrix of the equation system in a quick and efficient way.
使用初应力法对非线性方程组进行迭代计算，避免了组装和分解总体刚度矩阵的繁杂而庞大的运算。
To cut down great calculation of assembling and disassembling of stiffness matrix in the nonlinear procedure, the initial stress method is introduced to resolve the nonlinear equations.
给出了线性不定方程组与线性同余式组的新矩阵解法。
The matrix method of solving diphantine equations and congruence expressions is developed in this paper.
该动力学方程组是以广义坐标表出并用矩阵形式表示，便于进行数值计算和程序设计。
The dynamical equations are expressed in terms of generalized coordinates and written in matrix term so that they can be easily used for calculating and program designing.
利用稀疏矩阵技术求解大型稀疏线性方程组。
Large sparse system of linear equations are solved by sparse matrix methods.
当区间线性方程组的系数矩阵a为区间H阵时，证明了BIMV算法的可行性与收敛性。
The feasibility and convergence of the BIMV method are proved when the coefficient matrix a of interval linear equations is an interval H-matrix.
讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
利用该矩阵，建立位移控制方程组。
Then, the optimal control equations were derived from the sensitivity matrix.
以该机器人的动能作为泛函数，则其惯性矩阵M决定了泛函极值微分方程组的表达式。
Regard this kinetic energy as fun-function, then its inertia matrix M determines the differential equation.
其中预测及校正方程均采用特殊的矩阵降阶技术求解，所需求解的方程组维数只相当于原来的一半。
All equations in prediction and correction step can be solved using matrix reduction technique, which significantly reduces the dimension to half of the original.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。
A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.
本文引进规范行最简形矩阵概念，改进了线性方程组的传统解法，并规范了解题过程。
Row standard simplest form matrix is introduced, the traditional solution of system of linear equations is improved and the solution process is standardized.
一般情况下，边界元法所建立的线性方程组系数矩阵为一满置矩阵。
In general situation, the coefficient matrix of linear equations deduced by the Boundary Element Method (BEM) is a compact one.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
对有定号解的线性方程组或有定号零空间的实矩阵进行了更深入的研究。
In this paper, a more careful research on linear systems with signed solutions and real matrices with signed zero - space is made.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
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