矩陣求逆方法 的英文怎麼說

中文拼音 [jǔzhènqiúnìfāngfǎ]
矩陣求逆方法 英文
matrix inversion technique
  • 矩 : 名詞1. （畫直角或正方形、矩形用的曲尺） carpenter's square; square2. （法度; 規則） rules; regulations 3. [物理學] moment
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 求 : Ⅰ動詞1 （請求; 要求） ask; beg; request; entreat; beseech : 求人幫忙 ask sb a favour; ask a favou...
  • 逆 : Ⅰ形容詞1 （方向相反） contrary; counter 2 [數學] inverse; converse Ⅱ動詞1 （抵觸; 不順從） go aga...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 法 : Ⅰ名詞1 （由國家制定或認可的行為規則的總稱） law 2 （方法; 方式） way; method; mode; means 3 （標...
  • 矩陣 : [數學] matrix; array
  • 方法 : method; means; way; technique; process; procedure; plan; device; recipe; fashion; tool; maneuver
  1. Coordinate system of the manipulator is built, and kinematic equation is obtained. the reverse kinematics of the robot is analyzed using algebra and geometry, and the conditions to eliminate excrescent results are presented. and the working space of the mechanical arm is gained, singularity of the manipulator is analyzed

    對機械臂進行了運動學分析，建立機械臂坐標系，建立正運動學方程，並採用代數法和幾何法求解機器人逆運動學問題，並給出剔除多解的條件，求解出機器人手臂的工作空間和雅可比矩陣，並對機械臂的奇異性進行分析。
  2. The equations of motion governing the axisymmetric elastic deformation of finite orthotropic cylindrical shells, involving the effect of transverse shear and rotational inertia, are derived. by applying the reverberation method, the displacement and the resultant forces of the shell in the phase space are expressed. then the transient waves in the finite orthotropic cylindrical shell subjected to the axisymmetric impact are obtained by using inverse laplace transforms. furthermore, the transient solutions are decomposed to the generalized ray integrals and computed numerically

    分析了計及剪切變形和轉動慣性的有限長正交異性圓柱殼中彈性瞬態波的傳播問題，採用回傳矩陣法，在相空間中給出了位移和內力的表達式。再利用laplace逆變換，得到正交異性圓柱殼受軸對稱沖擊作用時彈性瞬態波解，然後將其分解為若干廣義射線積分之和，並用數值方法求解之。
  3. The best scheme was chosen after analysis and comparing and the structure was designed. at same time, the kinematics analysis was conducted, coordinate transformation matrix using d - h method was set up, and the kinematics equation direct solution and inverse solution was deduced, the velocity jacobian matrix was constructed using vector product method, and the values of displacement and velocity of some special point including the wrist point were calculated. secondly, the working space of the robot was analyzed and the axes section of practical working space was drawn

    首先，作者針對機器人的設計要求提出了多個方案，對其進行分析比較，選擇其中最優的方案進行了結構設計；同時進行了運動學分析，用d - h方法建立了坐標變換矩陣，推算了運動方程的正、逆解；用矢量積法推導了速度雅可比矩陣，並計算了包括腕點在內的一些點的位移和速度；然後藉助坐標變換矩陣進行工作空間分析，作出了實際工作空間的軸剖面。
  4. The property shows that the maximal solution is well - conditioned. two new iteration methods for finding the maximal solution are proposed. of these two methods, one is a linearly convergent iteration without matrix inversion, and one is related to newton s method and quadratically convergent

    這2種方法，一種是線性收斂的，其優點是迭代過程不需要求矩陣的逆另一種是二次收斂的，數值試驗的結果表明該方法在計算速度和精度方面都明顯地優于現有的其他幾種迭代方法。
  5. Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses

    給出了通過求解可逆矩陣構成的一般線性群，獲得線性碼的自同構群的方法，並利用矩陣廣義逆理論，對線性碼的自同構群進行進一步刻劃。
  6. The computer simulation results verify the validity of two adaptive algorithms applied to circular array. the algorithms are least square based on qr decompose ( qrd - ls ) and sampling matrix inversion based on qr decompose ( qrd - smi ). then we apply circular array with wideband signal

    其次，驗證了基於qr分解的最小二乘演算法（ qrd - ls ）和基於qr分解的采樣矩陣求逆方法（ qrd - smi ）兩種自適應演算法在均勻圓陣中的有效性。
  7. For two - spheres system, we present the concrete expression of the t matrix in such a system. and some numerical results obtained by this expression are compared well with experimental data

    在雙球粒子體系散射問題的研究中，用矩陣求逆的方法，具體地給出了雙球粒子體系散射傳輸矩陣的表達形式。
  8. Compared with the traditional methods of window functions and remez optimal algorithm, the optimum algorithm, the optimum design method in the paper need not compute inverse matrix, thus overcoming the difficulty to compute high - order inverse matrix in remez optimal design method

    與傳統的窗口函數法和雷米茲優化設計方法相比，其優化設計方法不需要計算矩陣的逆，因而克服了雷米茲優化設計方法求高階矩陣逆的困難。
  9. A general stack equation of mobile robot based on analyzing the motion of planar motion object and the mathematical models of four different kinds of common wheels is developed, accordingly, the mobility of mobile robot is addressed and the forward and inverse solutions to speed for specific configuration driven by differential speed are derived. utilizing the muir and newman convention, the description of the posture transformation matrices between different coordinate frames and the solution for the speed of point located on these frames are introduced. according to posture estimation, a more accurate method, dead reckoning algorithm, is developed for a specified configuration characterized by differential speed motorization, and simulations of this algorithm and other traditional methods are carried out using matlab while traversing a circular path

    本文對兩輪差速驅動移動機器人的運動學及其本體緩沖設計進行了探討，在對平面運動物體運動分析的基礎上結合四種常用車輪的數學模型，推導出了一個通用的移動機器人堆積方程，在此基礎上分析了移動機器人的移動能力、並針對兩輪差速構型推導了速度正解與逆解；使用muir和newman的運動學建模方法，推導了移動機器人上點及連桿坐標系位姿、速度變換關系矩陣及求解方法；在移動機器人位姿識別方法中結合差速驅動構型對航位推演算法進行了分析：推導了一種理論精度較高的航位推算演算法，並使用matlab對其與傳統的推算演算法在跟蹤圓弧軌跡情況下進行了模擬；最後針對本文所研究的機器人給出了一種比較系統、可靠的緩沖結構設計思路，較好地解決了移動機器人作業過程中外界因素及本身設計中引入的各種不確定誤差問題；本論文研究成果已在本實驗室所開發的樣機上得到實現，經過應用與考核證明其中的分析與設計是切實可行的。
  10. The paper is built as follows. in chap 1, we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first. the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses

    本文的結構如下：第一章先給出了vandermonde方程組的極小范數最小二乘解的一些實際應用背景，然後通過構造方陣v ~ tv （或vv ~ t ）並求其逆矩陣導出了求以m n階vandermonde矩陣及其轉置，以及m n階跳行vandermonde矩陣為系數陣的線性方程組極小范數最小二乘解的快速演算法。
  11. Applies the strict mathematical reasoning, translates the problem of relearning algorithm of redial basis function neural network into the problem additional operation of matrix operation

    應用嚴格的數學推理方法，將徑向基函數神經網路的再學習問題轉化為矩陣求逆的附加運算。
  12. But the original blast algorithm has a very high computational cost because of the nulling and cancellation step. on the other hand, the algorithm also needs an optimal detection ordering to restrain the effect of error propagation and improve the detection reliability

    常規blast演算法由於需要進行大量的線性迫零（矩陣求逆）和串列符號刪除等運算，計算復雜度非常高，另一方面，演算法還需要尋找最優的信號檢測順序來消除誤差傳遞的影響。
  13. In mmse based detection algorithms it ’ s inevitable to do the matrix inversion operation, and we have found by analysis that such matrices are all positive definition hermite matrices. so, in chapter three, by renumbers the looped variables we induce a new matrix inversion algorithm and based on the symmetry of the data we further

    由於基於mmse的檢測演算法中會不可避免地遇到矩陣求逆運算，經過分析發現此類矩陣均為正定hermite矩陣，根據此類矩陣的特點引入了變量循環重新編號法求逆演算法，並且根據運算過程中數據的對稱性提出了進一步的簡化方案。
  14. 3 a novel recursive least - square ( rls ) blind space - time receiver algorithm based on the constrained condition, which can completely avoid the matrix inversion introduced into by constraints ( comparing with the normal rls ), is proposed for multi - path slow fading cdma channels. the computational complexity of this method is not only lower than that of the normal rls, but also lower than that of both lms and ls blind space - time receiver methods that are realized based on the rosen ' s gradient projection. and the speed of convergence of the presented rls blind space - time receiver algorithm is better than that of both lms and ls blind space - time receiver methods

    3 、針對多徑慢衰落通道下ds - cdma盲空時接收機中線性約束二次規劃問題提出一種新的遞歸最小二乘演算法，該演算法完全避免因約束而引進的矩陣求逆運算（相對于常規的遞歸最小二乘演算法） ，不但運算量比常規的要低，而且比基於rosen梯度投影實現的最小均方（ lms ）與最小二乘盲空時接收機演算法還低，且收斂速度比基於rosen梯度投影實現的最小均方（ lms ）與最小二乘盲空時多用戶檢測都好，將提出的新的遞歸最小二乘演算法與提出的數據選擇方案結合起來可以進一步降低其運算量，具有很大的實用價值，最後通過模擬實驗進一步分析了其性能。
  15. This matrix takes into account all the couplings, un - uniformed amplitude and phase between the channels. this matrix is called the gain matrix or simply g - matrix. however, to measure the g - matrix is not an easy job

    這種方法通過測量系統的響應函數（ g矩陣）完全描述真實系統的響應，再用數值方法求g矩陣的逆矩陣來反演圖像。
  16. A new robust adaptive scheme which are used for tracking of this robot with parametric and bounded external uncertainties is proposed in this thesis. the controller is consist of a controller which is proposed by slotine1 ' 1 and nonlinear continued feedback compensation part. by estimating the unknown physical parameters of robot on - line, it can eliminate the effects result by parameters and external disturbances and guarantee gas and uniform boundedness of parametric estimation. the only information required in setting up the strategy is the output states of jionts, while the inversion of the inertia matrix or estimation the bound of the inertia matrix and measure the jionts accelerations are not needed. it is shown by simulations that the proposed control scheme has quicker convergence velocity and better control precision than paper [ 1 ] and control schemes at present

    針對該模型具有參數及有界外部擾動不確定性時提出了一種新的魯棒自適應控制策略，控制器由基於slotine的控制器和非線性連續反饋補償控制器構成。通過在線估計機器人的未知物理參數，有效的消除了由參數及外部擾動所引起的不確定性影響，保證系統達到漸近穩定和參數估計一致有界。與現存的許多控制方法相比，該控制策略不需求解慣性矩陣的逆或估計慣性矩陣的界，不需測量關節加速度，而唯一需要了解的只是系統輸出的位置及速度狀態。
  17. However, it is very difficult that the controller is designed when the controlled object is not square matrix, because it is involved in the pseudo inverse of matrix

    但是，在被控對象為非方陣的系統中，由於求解控制器時涉及到矩陣求偽逆問題，很大程度上增加了此課題的難度，故此種情況下的閉環增益成形演算法未被提出。
  18. Abstract : a design method of a multi - variable inferential controller based on anew performance index is proposed. the inferential controller uses a v type control structure to avoid inverse transformation of rectangle arriving. this multi - variable inferential control system has the characteristic of simple calculation and only an adjustable parameter q array. this control system output gets the performance of dynamic decoupling of the mutivarable system

    文摘:在一種新的性能指標下，提出了一種多變量推理控制器的設計方法，該控制器採用的v規范型控制器結構避免了傳遞函數矩陣求逆問題.該類多變量推理控制系統的特點是演算法簡單、僅具有一個可調參數矩陣q ，該系統實現了多變量系統的動態接耦
  19. The explicit method is widely used for its simpleness and little memory consumed with local time step and variable coefficients implicit residual smooth to accelerate the convergence procedure. according to yoon and jameson ' s ideas, an efficient implicit lu - sgs algorithm is carefully constructed by combing the advantages of lu factorization and symmetric - gauss - seidel technique in such a way to make use the l and u operators scalar diagonal matrices, thus the numeric algorithm requires only scalar inversion. the computational efficiency is greatly improved with this scheme

    顯式方法具有簡單，消耗內存小等優點，並採用當地時間步長、變系數隱式殘值光順等加速收斂措施，在定常流動的模擬中得到了廣泛的應用;根據yoon和jameson提出的簡化正、負矩陣分裂，構造的l 、 u運算元只需進行標量對角陣求逆，極大提高了流場數值求解過程的計算效率;採用newton類型的偽時間子迭代技術使時間推進精度提高至二階。
  20. As for nonlinear problem, the approximation schemes and the error analysis of pti are investigated, in order to avoid the computation of inverse matrix, the pti with dimensional expanding is proposed. the methods of constant, linear, sinusoidal approximation are proposed for the transformation of non - homogenous terms

    通過增維技術，該演算法將非齊次方程齊次化，從而避免了矩陣求逆，並給出非齊次項常數近似、線性近似和正弦餘弦近似的處理方法。
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