相等矩陣 的英文怎麼說
中文拼音 [xiāngděngjǔzhèn]
相等矩陣
英文
equal matrices- 相 : 相Ⅰ名詞1 (相貌; 外貌) looks; appearance 2 (坐、立等的姿態) bearing; posture 3 [物理學] (相位...
- 等 : Ⅰ量詞1 (等級) class; grade; rank 2 (種; 類) kind; sort; type Ⅱ形容詞(程度或數量上相同) equa...
- 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...
- 相等 : equation; equality; equal; be equal to
- 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。Based on projective geometry, the research works about 3d invariance ' s extraction and application have been done in this thesis as following : ( 1 ) the basic theories and concepts in projective geometry are systematically summarized. it includes : the camera models of perspective imaging, projective collineation, cross ratio, a simple compare about invariance ( invariant ) among some geometry transformations, fundamental matrix, epipolar and epipolar line in epipolar geometry, and so on. ( 2 ) the calculation methods for 2d projective transformation are extended from points to multi - element, which includes points, lines, points lines and so on, to get the relationship between two projective planes
基於射影幾何理論,論文圍繞3d不變特徵的提取和應用進行了如下的研究工作: ( 1 )系統總結了射影幾何中的若干基礎概念,包括:透視成像的相機模型、射影對應、交比不變量、基於不同幾何變換下的不變量的簡單對比、對極幾何中的基礎矩陣、對極點、對極線等。And then, some common methods of gdm, such as the ahp method, the weighted geometric mean method ( wgmm ), the borda - kendall method, the minimum variance ( mv ) method, the clustering analytic method, the cook - seiford distance measure, cb measure, the maximum and the minimum expected values, the concordance and discordance indices, etc., are used to discuss some consensus problems of gdm, including the consistency of the complex judgment matrix in ahp, the consensus methods of the aggregation of individual preferences ; the aggregation of analytic hierarchy process methods based on similarities in decision makers " preferences, a consensus measure on multiple criteria group decision making
接著本文採用了群體決策中常用的一些方法(如: ahp法,加權幾何平均法, borda - kendall方法,最小方差法,聚類分析法, cook - seiford距離測度法, c _ b測度法,最大最小期望值法,一致性非一致性指標法等)對群體決策中的幾個一致性問題進行了研究,這些問題包括: ahp中復合判斷矩陣的一致性,個體偏好序集結的一致化方法,基於決策者偏好相似性的層次分析模型的集結中的一致性問題和多準則群體決策的一致性測度。In the first part, we shall prove several inequalities involving symmetric positive semidefinite, general m - matrices and inverse m - matrice which are generalization of the classical oppenheim ' s inequality for symmetric positive semidefinite matrices
第一個部分給出了半正定矩陣,一般的m -矩陣以及逆m -矩陣的一些相關不等式,而這些不等式都是有關半正定矩陣的經典的oppenheim不等式的推廣。It is just the difficulty that the strongly correlated electron systems can not be studied by analytical methods, a variety of simulative numerical methods come out sequentially. there are a few typical methods such as the exact diagonalization ( ed ), the qutum monte carlo ( qmc ), the variation monte carlo ( qmc ), the renormalization group ( rg ), and the density matrix renormalization group ( dmrg ) and so on
正是強關聯系統遇到了解析研究的困難,各種數值模擬方法才相繼出現,最典型的數值方法有:嚴格對角化( ed ) ,量子蒙特卡洛( qmc )模擬、變分蒙特卡洛模擬( vmc ) 、數值重整化群( rg )以及密度矩陣重整化群( dmrg )等。Moment method is used for the analysis of interference among the vehicular multiple antennae in this paper. the multiple antennae system is equivalent to a microwave network, then the admittance matrix of the network can be obtained. using the admittance matrix, we can analyze the characteristic of coupling between two antennae and the near field of the antennae by the mom
本文採用矩量法對車載多天線間的相互干擾特性進行了分析,將多天線系統等效為微波網路,然後採用矩量法求該網路的導納矩陣y ,利用該導納矩陣對天線間互耦特性進行分析,同時計算天線的近場分佈。The elements of the reduced - jacobian matrix are functions of some parameters of the system. for example, effective short ratio, power base ratio, coupling impedance and load flow of the system. for single - infeed hvdc system with a parallel ac line, computer simulations using power system analysis software package ( psasp ) were performed
用一種簡單的方法可以求得降階雅可比矩陣,由於降階雅可比矩陣的元素都是交直流混合系統中一些參數的代數函數,如有效短路比、功率基準比、連接阻抗和系統潮流等,因此,矩陣的特徵值也與這些參數相關。Second, this paper studied the core technologies for developing the cae system for construction curtain wall, such as sparse matrix storage and processor for fea, parametric design and engineering modeling and so on
然後針對建築幕墻結構計算機輔助工程系統所涉及的與有限元分析相關的稀疏矩陣存儲及求解技術、系統參數化設計技術以及工程建模技術等關鍵技術進行了較深入的研究。This paper holds up a lot of the industry and the company ' s detailed materials and under the guidance of modern corporate strategic theories, applies such skills as pest analyse chart, function method, value chain method, swot analyse, evaluation matrix of strategic state, trying to offer the company a relatively objective and feasible corporate development strategy
本論文以石家莊三鹿的發展為背景,以佔有企業大量詳實的相關資料為基礎,以當今的企業戰略理論為指導,先後運用了pest分析圖、職能法、價值鏈法、 swot分析、戰略地位評估矩陣等技術理論方法,試圖為石家莊三鹿提供一個比較客觀和有一定可操作性的企業發展戰略。According to the analysis of reviewing the history and status quo of development of internal seed industry, the course of international seed industry, this article analyses the inner and outer environment of china seed industry ( especially sichuan nongda high - tech agriculture co., ltd. ) and puts forward the suggestions of developing tactic objective, operation system and commitment by practicing certain tactic theory, using the combinative analysis of classification and ration, wielding the tactic analysis tool such as pest analysis, value chain analysis, swot analysis,
本文通過對國內種業發展的歷史回顧、發展現狀及國際種業發展歷程的分析,應用有關的戰略理論基礎,採取定性與定量分析相結合的方法,運用pest分析、價值鏈分析、 swot分析、 efe矩陣、 ife矩陣、 kt決策法等戰略分析工具,對中國種業,特別是四川農大高科農業有限責任公司(簡稱川農高科)的內外部環境進行了全面、系統的分析,提出了發展戰略目標、運作體系及實施建議。With the development of the network and the multi - processor system, the research, simulation and the impemeni of the system - level fault diagnosis which is the very important means to increase the reliability of the system, are becoming more and more important. on the system - leve1 fault diagnosis, based on the group theory of system - level fault diagnosis that has been put forward by pro f zhang, the paper constructs newly the theory bases, improves on the matrix method, reinforces and consummates group arithmetic of all kinds of test mode, for the first time, analyses and discusses the equation solution of all kinds of models, so al1 the consistent fault patterns ( cfp ) could be found, straightly and high efficiently, even if the sufficient and necessary condition of t - diagnosable is dissatisfied and the complexity of system - level fault diagnosis is greatly decreased, especialy in strong t - diagnosabl6 system. last the simulation system ' s function has been extended and the application hotspot and the development trend have been disscussed
本人在張大方教授等人提出的基於集團的系統級故障診斷的理論基礎上,重新構建了系統級故障診斷的理論基礎,定義了系統級故障診斷測試模型的三值表示;改進了系統級故障診斷的矩陣方法,重新定義了測試矩陣、鄰接矩陣、結點對、結點對的相連運算、極大準集團和斜加矩陣,由此能直觀、簡便地生成集團和極大獨立點集;補充和完善了各類測試模型的系統級故障診斷的集團演算法,通過定義集團測試邊和絕對故障集,簡化了集團診斷圖,由此能較易地找到所有的相容故障模式,即使不滿足t -可診斷性,大大減少了系統級故障診斷的復雜度,尤其是對強t -可診斷系統;首次分析探討了各類測試模型的方程解決,由此從另一角度能系統地、高效率地求出所有的相容故障模式( cfp ) :擴充了系統級故障診斷模擬系統的功能,快速、直觀和隨機地模擬實驗運行環境,進行清晰和正確的診斷,同時提供大量的實驗數據用於理論研究,優化演算法和設計。This dissertation deals with the content - based image retrieval ( cbir ) theory and technique ; some new features and tools for more concisely and discriminatingly charactering the content of an image are proposed, such as region - based color histogram, grey - primitive co - occurrence matrix, ratio of centripetal moment, ratio of eccentric moment and ratio of inertial moment. a new modified genetic algorithm is also described in this dissertation, which can upgrade the performance of standard genetic algorithm ( sga ) while used in image segmentation
本文以圖像數據庫檢索為主線,討論了基於視覺內容的圖像檢索方法,提出包括基於區域顏色直方圖、灰度?基元共生矩陣及向心矩比、偏心矩比、慣性矩比的特徵描述方式;對遺傳演算法存在的早熟、收斂到最優解慢等問題提出了解決方法,並將改進遺傳演算法應用到圖像分割中,編制了相應程序。( 2 ) based on the propagation equation of fgbs passing through unapertured paraxial abcd optical systems, the similar transformation conditions are obtained for the first time, which is expressed as that two fgbs with the same beam order have similar intensity distributions at the two positions of equal generalized fresnel number when they propagate through two ajb, cjdi ( i = l, 2 ) systems. furthermore, a comparison between a fob and a sgb of the same beam a ^ - factor but different waist widths is performed for the first time
( 2 )通過對作為整體的平頂高斯光束在無光闌限制近軸abcd光學系統中傳輸公式的分析,首次得到了平頂高斯光束的相似變換條件,即階數相同的平頂高斯光束在傳輸矩陣為a _ ib _ ic _ id _ i ( i = 1 , 2 )的兩個光學系統中傳輸時,在菲涅爾數相等的兩個面上具有相似的光強分佈。First, some inequalities of gram determinant and further, some estimates for correlation coefficient of a system of random vectors and its subsystems are obtained
本文首先給出了矩陣行列式的幾個不等式,進一步,給出了多組隨機變量及其子系統的相關度量的幾個估計For this, the paper combines some thoughts such as role, agent, and service. it also proposes the developing framework of a role - based collaborative software with the object - oriented model technology and imitatively realizes the interacting and cooperating process of the members in developing activities. firstly, to overcome the difficulty of members ’ fuzzy realism to roles, this paper organizes supplying and requiring servvice set, bridges the reflecting relationship between roles and services and realizes the clear definition and dynamic transformation of roles through modifying service set and service - role registered table
為此本文結合角色、 agent 、服務等思想,利用面向對象建模技術提出一種基於角色的協同軟體開發框架,主要工作有:首先針對成員在開發過程中對角色認識模糊的困難,本文為角色組織了供給和需求兩組服務,建立了角色與服務之間的映射關系,通過修改服務集和服務-角色登記表,實現了角色的清晰定義和動態修改,與傳統方法相比,清晰角色有利於成員明確自身所承擔的職責和擁有的權限;同時為簡易成員查找角色的復雜過程,提出一種靈活的角色查找方法,利用角色匹配矩陣和角色推薦演算法,匹配出符合成員要求的一組近似角色,降低了角色查找的難度。The problems of robust stability for a class of lurie direct or indirect systems with time - delay and norm - bounded uncertainties are discussed using delay dependent method. method of linear matrix inequality is adopted to resolve the problems. comparing with the other sufficient conditions, the maximum delay obtained in this paper is less conservative
2 .針對具有范數有界不確定參數的lur記時滯系統,分別給出了lurie直接型系統時滯相關的魯棒絕對穩定性條件和穩定化控制器以及lurie間接型系統時滯相關的魯棒絕對穩定性條件,結論均採用線性矩陣不等式的形式給出,通過和最近的其他充分性方法比較最大的時滯界,表明本文方法大大減少了保守性。Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network
) s _ n為手段,研究了網路狀態空間在群g作用下各點的運動情況,證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時, hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系;同時,我們還證明了:網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為(能量和吸引域大小)相同;兩個等距網路h和h 1 = g ? h , ( ? ) g (This paper researches and discusses the theory of latent semantic index, include the theory of single value decompose and word - document matrix. in this paper the author discusses the application of latent semantic index in chinese document clustering based on latent semantic index, researches and discusses vector space model, latent semantic index, electronic dictionary, word - splitting and the algorithm of k - means. this paper presents a improved structure of electronic dictionary and a improved algorithm of word - spliting
本文對潛在語義索引模型進行系統的研究和探討,包括奇異值分解等相關矩陣理論、詞-文檔矩陣等;同時本文研究和探討了潛在語義索引模型在中文文本聚類中的具體應用和實現,包括文本間相似度的度量、詞-文檔矩陣、奇異值分解的具體實現;同時本文對中文文本聚類所涉及的其他一些中文處理技術,包括向量空間模型、電子字典、切詞、 k - means聚類演算法等也進行了研究和探討。2. using servqual standard scales as a major part of the questionnaire, a survey focusing on customer expectations, customer perceptions and other relative factors is conducted on retailing bank consumers in zhejiang province. a gap analysis, an exploratory factor analysis, correlation matrix and cross - tabs are put into practice, which could contribute to explaining, objectively and quantitatively, the present situation of the cs in china, especially in zhejiang province, and also demonstrating the relationship between the cs and other factors, such as the customer loyalty, in the fspc
第二部分,以浙江省銀行業零售顧客為對象,利用servqual方法對顧客期望值、顧客感知值及相關因素進行了測定;運用缺口分析、探測性因子分析、相關矩陣分析、 cross - tabs分析等方法,客觀地、定量地揭示了金融服務顧客滿意度的現狀,分析了顧客滿意度與「鏈」中相關要素(如,顧客忠誠度)的關系,填補了國內該領域研究的空白。Abstract : a simple method of searching the least squares solution to the contradictory matrix equation ax = b is given by means of elementarily transforming of the matrices
文摘:用矩陣初等變換的方法給出了求不相容矩陣方程ax = b最小二乘解的一種簡便方法。分享友人