矩陣反演 的英文怎麼說
中文拼音 [jǔzhènfǎnyǎn]
矩陣反演
英文
matrix inverse- 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...
- 反 : Ⅰ名詞1 (方向相背) reverse side 2 (造反) rebellion 3 (指反革命、反動派) counterrevolutionari...
- 演 : 動詞1 (演變; 演化) develop; evolve 2 (發揮) deduce; elaborate 3 (依照程式練習或計算) drill;...
- 矩陣 : [數學] matrix; array
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In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix
本文分為三個部分,主要研究了線性互補問題的幾個相關的公開問題以及猜想: ( 1 )研究了murthy等在[ 2 ]中提出的公開問題,即對任意的矩陣a ,其擴充矩陣是否為q _ 0 -矩陣,給出了肯定的回答,得到充分矩陣的擴充矩陣是充分矩陣,並討論了graves演算法,證明了若a是雙對稱的p _ 0 -矩陣時, lcp ( q , a )可由graves演算法給出; ( 2 )研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想,給出了半正定矩陣的一些充分條件,並研究了pang ~ -猜想,得到了只r _ 0 -矩陣與q -矩陣的二個等價條件,以及e _ 0 q -矩陣的一些性質; ( 3 )研究了danao在[ 25 ]中提出的danao猜想,即,若a為p _ 0 -矩陣,則,我們給出了反例證明了此猜想當n 4時不成立,指出了murthy等在[ 20 ]中的一些錯誤,得到n = 2 , 3時,即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。Abstract : large time delay exists in complicated practical processes. for example, in fccu ( fluidized catalytic cracker unit ) reactor - regenerator, the feed is preheated through heat exchanging from fractional column slurry, thus results in large time delay. a predictive control system is designed for such processes, where the kernal algorithm is dynamic matrix control. application results show that the control behavior is improved than original pid control
文摘:實際的復雜工業過程,往往具有大的時滯,例如:煉油廠催化裂化裝置的反應再生系統,其原料油預熱通過油漿換熱實現,因此時滯特別大.本文針對這一類大的時滯過程,設計了以動態矩陣控制為核心演算法的預測控制系統,運行實踐表明:這一控制方案比原pid控制在控制質量上有較大提高Among them the gray level co - occurrence matrix ( glcm ) and gray gradient co - occurrence matrix ( ggcm ) methods, which attributed to the statistic textural analysis scheme were then chosen to extract the textural features of five kind areas on satellite images. in the second part the principle of classification and bp neural network were introduced. combined with textural features, the improved bp neural network successfully performed on the classification of the satellite images
論文的第一部分介紹了進行紋理特徵研究的一些典型的方法,利用其中的基於統計的紋理分析法中的灰度共生矩陣以及灰度一梯度共生矩陣法,分析了衛星雲圖上五類區域的紋理特性;第二部分主要介紹了遙感圖像分類原理以及神經網路中的bp演算法,在對演算法原理進行深入理解的基礎上,把紋理特徵與神經網路進行組合,實現對衛星雲圖進行分類分析;第三部分內容是在前面圖像分類結果的基礎上,對序列圖像用相關匹配法進行運動分析,反演雲跡風風場。Considering the nonuniqueness and instability of ultrasonic computerized tomography for structural concrete as well as the ultrasonic transmission characteristics in concrete, a natural weight matrix with dear physical meaning was introduced in the inverse algorithm
摘要針對混凝土超聲波層析成像結果不唯一和穩定性差的問題,首先依據超聲波在混凝土中的傳播特點,在反演演算法中引入物理意義明確的自然權矩陣,對走時較小的射線和射線較密的成像單元加以重權。In rsdm, binary patterns are replaced by real - valued patterns, accordingly avoiding the coding process ; the outer learning rule is replaced by regression rule, therefore the model has not only the ability of pattern recognition but the ability of function approximation. the prearrangement of the address array bases on the distribution of patterns. if the distribution of patterns is uniform. then the address array is prearranged randomly, otherwise predisposed with the theory of genetic algorithm and the pruneing measure so as to indicate the distribution of patterns and improve the network performance. non - linear function approximation, time - series prediction and handwritten numeral recognition show that the modified model is effective and feasible
在rsdm中,以實值模式代替二值模式,避免了實值到二值的編碼過程:以回歸學習規則代替外積法,使該模型在具有識別能力的同時具有了對函數的逼近能力;地址矩陣的預置根據樣本的分佈採取不同方法,若樣本均勻分佈,則隨機預置,否則利用遺傳演算法的原理和消減措施來預置地址矩陣,使之反映樣本的分佈,改善網路的性能。Second, we compute the self - impedance through cavity modal theory and mutual impendance based on reaction theory respectively. then the generalized impedance matrix that reflects the effect of mutual coupling is formed. at last, the effect of mutual coupli ng on 2 - d doa estimation algorithms is investigated and two efficient methods of mutual coupling compensation are proposed
本文首先對兩種二維doa估計演算法? ssm法和二維酉esprit法的性能進行了比較,用空域平滑演算法解決了相干源的二維doa估計;其次運用腔模理論計算微帶天線的自阻抗,用反應原理計算微帶天線間的互阻抗,進而形成計入互耦影響的廣義阻抗矩陣;討論了互耦對二維doa估計的影響,提出了兩種互耦補償的方法。An experiential criterion of determine the size parameter of larger sphere in two - spheres system in random orientation is proposed
研究了任意方位雙球粒子體系的散射矩陣,提出了利用體系的相位函數反演其中較大粒子的尺寸參數的經驗判據。In this paper, we study inversionless lasing of frequency up - conversion in an open v - type system with incoherent pump. making theoretical analysis and numerical calculation by density - matrix equations of motion, we derive the conditions for the onset of lwi and discuss the effects of the parameters of the system, the detuning of driving field and probe field on the gain, and discuss nonlinear effect in the frequency up - conversion regime. we also give stability and transient analysis
本論文研究了具有非相干泵浦的開放v型系統頻率上轉換無粒子數反轉激光,利用密度矩陣運動方程,通過理論分析和數值計算,得出該系統產生無粒子數反轉激光的條件,討論系統各參數的變化和驅動場與探測場的失諧對激光增益、色散和粒子數差的影響,還討論了頻率上轉換區域的非線性效應,分析了增益的穩定性及系統的瞬態演化過程。For this method, the matrix inversion and iterative reconstruction are selected based on the quantity and quality of data, and then the physical model and the actually measured data are processed by using this method
層析成像演算法根據數據量大小、品質來選擇矩陣反演法與迭代重建法,然後對物理模型、實測資料進行層析成像處理,結果獲得滿意的重建異常體圖像。Some stiffness matrices of special elements such as rubber bearings and components with field are derived from primary - secondary and inverse transform in structural matrix analysis. then, seismic response analytical models and non - isolated continuous rigid frame bridges are set up, while considering the interaction of soil - pile - structure and traveling wave effect simultaneously. finally, the seismic time history response of the two models is calculated by means of the finite element method, and the results show that the isolated bridge posses powerful earthquake resistance
首先論述了公路大跨徑橋梁的地震反應分析方法,其中包括樁-土-結構相互作用、行波效應等因素對結構物的影響;其次,利用結構矩陣分析中的主從變換和逆步變換,推演了幾個特殊單元的剛度矩陣,包括橡膠隔震層單元和帶剛域構件單元;最後,考慮樁-土-結構相互作用和行波效應的結合,分別建立隔震與非隔震連續剛構橋地震反應分析模型,通過有限元法對兩種結構進行時程分析,結果表明:隔震層上部結構的地震加速度反應、位移反應均明顯減小,這說明隔震的連續剛構橋具有很好的抗震能力。Firstly, a new joint filterbank precoders and decision feedback equalizers structure is proposed, and the corresponding optimization result based on the maximal mutual information criterion is derived. secondly, the concept of dt canonical model is proposed, which is very suitable for the task of blind signal processing based on the second - order statistical of the observations. thirdly, the methods of blind equalization and identification of the tv dispersive channels are researched systematically based on the proposed dt canonical model, and a subspace blind identification algorithm of the time - invariant channel matrix is developed
本文創新性的成果在於:提出了預編碼-判決反饋聯合均衡系統結構,並從理論推導得出了對應的最大互信息量最優化設計結果;首次提出了時變色散通道的離散正則模型概念,該模型適宜於利用觀察數據的二階統計量進行盲信號處理;基於離散正則模型對時變色散通道進行了系統的盲均衡和盲辨識方法研究,提出了對時不變通道矩陣的子空間盲辨識演算法;針對誤差傳播效應問題,提出了可以消除誤差傳播效應的兩級盲辨識演算法;提出了基於離散正則模型的直接盲均衡演算法;提出了基於特徵恢復思想的神經網路直接自適應盲均衡演算法。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。As for the numericial mthods we present a method using newton iteration and lp ( lift - projection ) iteration to slove inverse real symmetric eigenvalue problems. then wo can choose any starting points, then wo can get good starting value for the purpose of the preconditioning the numerical examples show the method is efficient and available
對于數值演算法,將lp迭代和一般的newton迭代法結合起來求解含參變量的實對稱矩陣特徵值反問題, lp迭代預處理了newton迭代法的初始值,拓寬了newton迭代法初始值的選取范圍,數值例子也說明lp ? newton法具有較高的效率和實用性。Calculation of transition probability matrix and fixed vector of the well profiles in the area shows, from a quantitative point of view, the vertical evolution law of the sedimentary series and the transversal environmental difference
通過多步轉移概率矩陣和固定向量計算,從定量的角度說明了研究區內部分鉆井剖面陸表海沉積在垂向上演化的規律性及反映在橫向上的古環境差異性。One is based on the discriminated matrics, the other is based on ga. we use many new ways to make the algorithms more effective, such as reducing dimension and sparsiting elements of the discriminated matrics, effectively selecting elements of the positive examples set and the counter examples set for the jointing - spreading matrics, using a new selecting operator, and so on
其次,實現了基於粗集理論的屬性約簡方法? ?基於可分辨矩陣的屬性約簡法和基於遺傳演算法的屬性約簡法,並通過降維、稀疏化、正例集和反例集的有效選取、新的選擇運算元等方法對原演算法進行了改進。By the genetic arithmetic method, along with the matrix theory, the od table was designed. the variable methods of future traffic estimate were discussed and compared
( 3 )設計了靜態多路徑一次分配概率矩陣,採用了遺傳演算法,並運用矩陣理論設計了od表反推計算程序。Abstract : based on the fundamental theory of computation of the cable - prestressed steel trusses established in paper 1, the iterative perturbation formulas which inversively determine the stiffenesses of elements of steel trusses and cables with the restraint of vertical displacements of the truss are put forward on matrix perturbation principle
文摘:基於文1所建立的拉索式予應力鋼桁架基本計算理論,根據矩陣攝動原理進一步給出了以豎向結點位移為約束反演確定任意布索張拉予應力鋼桁架單元剛度和拉索剛度的攝動迭代公式。In inverse problem of ert, the linear back projection algorithm based on sensitivity field is used to reconstruct the qualitative image. assume that the change of conductance is slight, so the sensitivity can be approximately
在電阻層析成像的成像演算法方面,論文中使用了基於敏感場的線性反投影演算法,假設電導率分佈的變化不是很大,則場內敏感場系數的分佈可近似的認為不變,這樣就可利用敏感場矩陣直接求取多幅圖像。This ph. d. thesis - firstly considers the real asymmetric, real symmetric, bisym - metric, and symmetric and skew antisymmetric matrix extension problems constrained by the matrix inverse problem ax = b. and also considers, in the solution set, of the corresponding matrix extension problems, the optimal approximation solution to a given matrix a *. the necessary and sufficient conditions for the existence of and the expressions for the above problems are derived, and the numerical algorithm and examples to solve the problems are also given
首次提出並討論了矩陣反問題ax = b約束下實矩陣、實對稱矩陣、雙對稱矩陣和對稱次反對稱矩陣的擴充問題,討論了在其解集合中與給定矩陣a ~ *的最佳逼近問題,得到了問題的解存在的條件及通式的表示,給出求解問題的數值演算法和數值例子。The operator proof of ma ' s matrix inverse
馬氏矩陣反演的運算元證明分享友人