逆计算

To address it,this paper expanded the method getting inverse matrix by adjoint matrix to ZN through constructing mapping regulations.

为减小该方法计算代价，将杜里特尔分解和克劳特分解求逆推广到ZN，解决了变换阵顺阶主子式模N互质，矩阵变换的逆问题。

Based on X-filtered LMS algorithm and -filtered LMS algorithm adaptive inverse control, we use a new variable step size LMS algorithm. Adding little computation, variable step size LMS algorithm can result in fast convergence speed and low residual error simultaneously. The adaptive feedback control can counteract the beginning error of the system. The adaptive disturbance canceler can best erase noises and disturbances.

在原来的X-滤波LMS算法自适应逆控制和-滤波LMS算法自适应逆控制方法的基础上，引入了新的变步长LMS算法，在计算量增加不多的前提下，能同时获得较快的收敛速度和较小的稳态误差；引入自适应的反馈补偿控制克服了被控系统的直流零频漂移，使控制系统在初开始工作阶段快速收敛；还引入自适应扰动消除器，它能最大限度的消除扰动。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法，编制了数值计算程序，并把它应用于环境水力学反问题诸多领域，包括污染物一维非恒定扩散逆过程反问题，对流扩散方程逆过程反问题，河流水质纵向弥散系数反问题，非线性Boussinesq方程反问题，河流水质多参数识别反问题，BOD-DO水质模型参数反演问题，对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题，二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

Huge computation, including the on-line estimation of the process parameters, the computation of the Diophantine equation and, especially, the computation of the in...

在线计算量大，包括模型参数的在线辨识，Diophantine方程和逆矩阵的求解，以及其它计算，如处理约束问题需要的计算。

The representation and calculation of generalized inverse matrices is an important topic in the theory of generalized inverse. Since its high value in the field of both theotical research and practical use, many scholars have done much research on it.

广义逆矩阵的表示与计算是广义逆理论的重要研究课题，因其理论上的重要地位和实际中的广泛应用一直为人们所关注，近二三十年来，国内外众多学者在这方而做了大量工作，得到了丰富的成果(见[1-6] 等)。

In the third chapter, the finite element inverse approach has been applied to an L-shaped cup drawing simulation. Compared with the experimental result and incremental FEM result, the numerical results of inverse approach validate the efficiency and accuracy of inverse approach. In the fourth chapter, a rear fender has been chosen to be an example of 3D complicated auto panel.

采用有限元逆算法数值模拟了L-形方盒件的冲压成形过程，计算结果与试验结果及增量有限元结果进行了比较分析，结果表明：有限元逆算法结果与试验结果基本吻合，而且有较高的精度，在产品初期设计阶段具有较大的应用价值。

Based on the inverse mapping with linear deformation, the geometric mapping was used to carry out the second element transformation in order to avoid the abnormality of the stiffness matrix and to improve the stability and the convergence of the numerical calculations.

在现有线性变形逆向映射法的基础上，采用几何映射法计算变换单元，避免单元刚度矩阵出现畸形，提高钣金展开有限元逆算法的稳定性和收敛速度，对几何映射法与投影法所计算的变换单元进行了对比，数值计算结果表明用几何映射法计算的初始估算展开料形状更接近于最终的钣金件展开形状。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Analyzing the calculating process of belt conveyor with high angle theoretically, starting from its theoretic calculate the cross sectional area of materials and peripheral force, shaft power of drum, power of motor, using point by point method to get the resultant strain of every drum and torsion of driving drum, calculating the maximum strain and the maximum reverse stopping torque, to give the support on theory for using belt conveyor with super-long distance, high angle under the coal mine.

本文针对长运距、大倾角、高强度带式输送机设计过程中存在的问题，从四个方面对大倾角带式输送机进行分析研究：从理论上解析大倾角带式输送机的计算过程，从大倾角带式输送机的理论入手，详细计算物料的横截面面积、圆周力、滚筒轴功率和电机功率，利用逐点计算法计算各个滚筒的合张力以及传动滚筒的扭距，计算出胶带的最大张力和最大逆止力矩，给长运距、大倾角皮带机在煤矿井下的使用给予理论上的支持。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新