分别采用LSQR和ART算法对欠定方程组进行了层析成像计算。
LSQR and ART algorithms are applied separately to calculate tomography for the underdetermined system of equation.
它所能做的就是解决这些方程组问题。
这就是我们要解的方程组。
实际上，是讲Maxwell方程组。
And, in fact, something that is known as Maxwell's equations.
电与磁：麦克斯韦方程组。
经济模型经常导致对方程组的研究。
Economic models often lead to the study of systems of equations.
如果没有的话，我们继续往下，线性参数方程组。
OK, so if not, let's move on to linear parametric equations.
否则，此线性方程组无解，或者无穷解？
Otherwise, well, AX equals B has either no solution, or infinitely many solutions. Yes?
通过两个算例验证了完全欧拉方程组的正确性。
The correctness of the complete Euler equation set is verified with two functional examples.
我能够得到，我能够解决任意右侧部分b的这些方程组么？
Could I get, can I solve all these equations for every right hand side?
离散后的三对角线性代数方程组用adi方法求解。
The discretized tri-diagonal linear algebraic equations are solved with ADI method.
该算法在每一步迭代时，仅需求一线性方程组系统。
At each iteration, it was only necessary that a system of linear equations be solved.
实际上，Maxwell方程组，描述了这两个场的旋度和散度。
Maxwell's equations actually tell you about div and curl of these fields.
飞行动力学研究中常遇到求解非线性代数方程组的问题。
The solution of nonlinear algebraic equations is usually met in the study of flight dynamics.
本文提出了一种基于蚁群算法求方程组数值解的新方法。
A new method for resolving equation groups is proposed, which is based on Ant Colony System.
把姿态信息载入非线性方程组中，从而求得飞艇的位置信息。
Substituting the information of attitude into the nonlinear equations the position of airship was obtained.
用这个拉格朗日方法，你是不能保证解出这个方程组的,你只能对着它想。
There is no general method for solving the equations that you get from this method. You just have to think about them.
这种情况必然发生在,不可逆线性方程组的情况，且等号右边为零。
So, you must be in this case if you have a noninvertible system where the right hand side is zero.
这类方法具有基数型、显式计算（无须求解方程组）及局部性等优点。
This kind of schemes has advantages such as cardinal type, explicit calculation(no need to solve system of equations) and localization.
该方程右边的函数在实数域内不连续，是一个高度非线性微分方程组。
The equations are extra nonlinear differential equations. the dexter function is not continuous in field of real number .
麦克斯韦方程组用矢量的形式重新表示，并利用狭义相对论你的对称性。
Slide-shows original equations, then equations re-written as vector analysis, then using the symmetry of special relativity.
有两种可能，一是方程组可逆，这就是一般情况了，这时三个平面交于一点。
And then, we have two cases. So, the case where the system is invertible corresponds to the general situation where your three planes somehow all just intersect in one point.
根据坐标转换关系，可以获得飞艇在地面坐标系下的位置和姿态非线性方程组。
According to coordinate transforming relations the nonlinear equations containing the attitude and position of the airship in geographic coordinate system can be acquired.
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.
记住，线性方程组问题，可以理解为求三个平面的交，因为每个方程就是一个平面。
So, remember, in the linear system, you can think of a linear system as asking you to find the intersection between three planes because each equation is the equation of a plane.
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.
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.
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