逆计算

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

This article presented a new fast algorithm of Moore-Penrose inverse for an m×n symmetric Loewner-type matrix with full column rank by forming a special block matrix and studied its inverse. Its computation complexity was O+O(n^2), but it was O(mn^2)+O(n^3) by using L(superscript +)=L(superscript TL^(-1)L.

论文通过构造特殊分块矩阵并研究其逆矩阵，给出了秩为n的m×n对称Loewner矩阵Moore-Penrose逆的快速算法，该算法的计算复杂度为O+O(n^2)，而通过L=L(上标 TL^(-1)L计算的复杂度为O(mn^2)+O(n^3)。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

According to Bessel function and Fourier series theory, generation, magnitude and distribution of voltage harmonic generated by single-phase two-level SPWM inverter and three-phase SPWM inverter are analyzed and calculated particularity and concretely in allusion to inverter-motor system.

然后针对逆变器-电动机系统，利用贝塞尔函数和傅里叶级数理论，分别对单相二阶SPWM逆变器和三相SPWM逆变器的输出电压谐波的产生、大小和分布进行了细致而具体的分析和计算。

ABSTRACT Aiming at problems of trans-vector controller in a vehicle-carried induction motor such as variable rotor and stator resistance following motor temperature, and their inductance varying with flux saturation degrees. Firstly, CSI and VSI are introduced, for CSI, it can hold the advantages both FOC and DTC using stator flux directional, PI parameter and simulation are also introduced. Secondly, equations of IM in the synchronous rotary frame and its static counterpart, as figuring in the saturation condition of magnetic field, are dealt in this paper and the simulation results are presented. Thereafter, the parameter designing of PI trans-vector controller is processed, which features the non-linear model. In practical realization, as neglecting the dynamical change of motor inductance, this paper employs online modification of inductance parameters, according to the flux saturation, then transforms the non-linear equations into linear ones, and so compacts the structure of controller. Thirdly, in view of the maximum torque output is extraordinary requisite when Electrical Vehicle start up, accelerate, and overtake, this paper issues the maximum torque when both inverter and battery capacity is corporeally definite. Fourthly, on-line differentiating and analyzing both rotor's time constants and its flux by using the expanding order reduction and discrete Kalman filter equation are fathomed, in order to realize high-performance trans-vector algorithm, and also the simulation results are presented. Fifthly, the close-loop regenerative brake system, when the EV's torque is set constant, is deduced; at the same time, unification of electric drive model and brake model is executed. Combined with maximum charge current demands, the mathematical model for online yielding torque as a demand.

本论文针对车载异步电机在矢量控制器所遇到的问题：定转子电阻随温度变化及随电机饱和程度变化的转子电感及定子电感而影响电机调速性能提出一套完整的解决方案：分析了电流型逆变器和电压型逆变器在实现矢量控制时控制器参数的计算，分析出对于电流型逆变器在采用定子磁场定向时，其性能同时具有矢量控制和直接转矩控制两者的优势，并对电压型逆变器在转子磁场定向下的模型进行了仿真研究；建立异步电机非线性模型，推导出考虑磁饱和时异步电机在同步旋转坐标系及静止坐标系下的方程，并做出了仿真结果，建立异步电机在非线性模型下的矢量控制调节器的PI参数设计，在实际应用中，若忽略电机电感的动态变化，可以根据当前的磁路饱和状态而在线修正电感参数，从而将非线性方程线性化，降低控制器的复杂度；考虑到电动汽车在起动和加速超车时需要电机有最大转矩输出，本文讨论在逆变器容量一定和电池供电能力有限的情况下电机最大转矩输出问题；推导了异步电机扩展降阶、离散卡尔曼滤波方程在线辨识转子时间常数和转子磁通，用于实现高性能的矢量控制算法，并给出了仿真结果；推导出了电动汽车恒转矩给定的闭环回馈制动系统，实现了电动控制模型和制动模型的统一，而且结合铅酸电池最大充电电流的要求，为制动转矩在线给定建立了数学模型；设计了基于双DSP系统的高性能矢量控制器软硬件框图，并以大量实验数据说明矢量控制在电动汽车应用的实际应用状况。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

In mechanics kinematics, Jacobin matrix may be calculated and simplified by vector constructing; Inverse solution and its restricting condition be given; Forward solution be solved by new-raphson method. The method need shorter time than optimization and has a lot of advantages in applying program; some relationship of velocity, acceleration, force and error of mapping from input to output have been given. Analyzing of theory base these researches.

在机构运动学研究方面，通过矢量构造的方式计算出了速度雅克比矩阵，简化了计算量；给出了机构位置逆解的计算过程及约束条件；利用Newton—Raphson法计算出了机构位置的正解，该算法比优化法计算时间短，而且利于实际编程；给出了机构输入、输出端速度、力、误差的映射关系，这些研究是机构理论分析的基础。

For this purpose, the compactly supported radial basis function and the moving least squares approximation based ones are integrated into the aforementioned two global optimizers. As a result, two novel hybrid algorithms are introduced.

其次，为解决电磁场逆问题分析、计算中由于随机类优化算法需进行数以千计次电磁场的数值分析，以致计算时间和计算量难以满足工程分析实际要求的难题，本文将表面响应模型法引入电磁场逆问题的求解，研究了基于紧支径向基函数和基于移动最小二乘法的两种表面响应模型，并将其分别与改进的遗传算法和粒子群算法相结合，提出两种不同的混合快速全局优化算法。

As the inversion and compression attack includes the question relating to solving thepreimage from image of function, a subdivision algorithm for solving preimage of function withbounded derivative based on Lagrange mean value theorem is proposed firstly.

由于逆推压缩攻击方法涉及混沌映射的求逆，针对复杂混沌映射求逆困难的问题，运用拉格朗日中值定理，我们提出了求解导函数有界的函数原象的分割算法，给出了使分割算法计算复杂性上界达到最小的充分条件。

The method comprises the steps: S402: an inverse process multiplexing for a terminal to transmit channels; S404: CRC verifies a statistical module and judges whether CRC verified calculation in the inverse process is right and after relevant processing is taken according to the results of the judgment, the right circumstances in the CRC verification in the reverse process are added up; S406: the terminal outputs the link quality of the transmission channels according to the stastical results of the verified statistical module in the CRC; S408: RNC sends out request message for counting, and the terminal makes response to the counting in pre-set conditions and feedbacks the link quality of the transmission channels; S410: after receiving the counting response of the preset quantity, the RNC counts the link quality given feedback by the terminal and confirms whether to regulate power allocation of the signal channel loading MBMS according to the statistical results.

本发明提供了一种采用外码增强技术反馈链路质量的功率分配调整方法包括：S402，终端进行传输信道复用的逆过程；S404，CRC校验统计模块判断逆过程中的CRC校验计算是否正确，并且在根据判断结果进行相关处理后，统计逆过程中CRC校验的正确情况；S406，终端根据CRC校验统计模块的统计结果输出传输信道的链路质量；S408，RNC发送计数过程请求消息，并且终端在预定条件下响应计数，并反馈传输信道的链路质量；S410，RNC在接收到预定数量的计数响应后，统计终端反馈的链路质量，并根据统计结果确定是否调整承载MBMS的信道的功率分配。

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