矩陣論 的英文怎麼說
中文拼音 [jǔzhènlún]
矩陣論
英文
matrix theory-
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。Compared with aitken extrapolation, eigenvalues - based algorithm bypass aitken transform and perform more effectively than aitken extrapolation algorithm theoretically in the process of iterating hyperlink - based markov matrix
與aitkenextrapolation演算法相比,基於特徵值求解的演算法不藉助aitken變換,而通過特徵值直接求解馬爾可夫超鏈接矩陣的主特徵向量,從理論上比aitkenextrapolation演算法更高效。The problem of calculating the core attributes of a dicision table is studied, a new discernibility matrix and the computation of core is put forward in this paper, and correctness of this method is proved. this method is the same with consistent and antipathic dicision tables
論文對目前求核方法存在的問題進行了分析,提出了一種新的可區分矩陣與求核方法,並證明了方法的正確性,該方法適用於任何決策表(相容的或不相容的) 。This thesis investigates parallel solving the generalized eigenvalue problem ax - bx deeply, and proposes some new algorithms
本文從理論和實驗兩方面深入研究了分散式環境下實矩陣廣義特徵值問題ax = bx的并行計算,提出了一些新的演算法。This text firstly wields theories and ploys as strategical administration matrix, balance - point of profit and loss, five competitory models and burgeoning strategical administr ation, which is to make a comparatively embedded analysis on broadband inside - and - out side condition including technical level, consumer characters, competitive status and mark eting status, etc, to bring forward available correspondence hypothesis of consumere and to put forward two ways - out for small - and - medium sized providers by swot matrix and big strategy matrix. one is gradualism retreat tactic. considering the particularity of broadband network industry, this text gives the design of gradualism retreat pattern. the other is incorporate strategy of scale domino and much more effective negotiationchip. especially, this text puts emphasis on discussion of incorporate implement methods, proposing to adopt the way of demanding contrast prise - fixing and output pluralism of products so as to induce the consumers to cut down marketing breeding periodicity, use crm to establish core competity for small - and - medium sized providers and simultaneously lay a foundation of next commingle dealing in this field
本文運用戰略管理理論中戰略管理模型、價值鏈、盈虧平衡點、五種競爭力模型、新興產業戰略管理、市場營銷學等思想理論和方法,對寬帶網產業內外環境(包括技術、競爭狀況、市場狀況等)進行詳細分析,總結了中小型寬帶網運營商在市場營銷、資源配置、經營成本、產品結構、政策管制等幾個方面的優劣勢,並析出其中的關鍵因素,運用大戰略矩陣、 swot分析矩陣,提出中小型寬帶網運營商一進一退兩種截然不同的發展戰略,即「漸進式退出」策略和「一體化」策略。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。In order to satisfy the veracity and the robustness against time - variable noise of the aoct, a new square root kalman adaptive filter arithmetic with time - variable noise statistic is presented in this paper. in addition, the wavelet analysis is applied to inspect the singularity of the measured current, and an adaptive signal - noise decomposer for aoct is designed
為了滿足aoct自適應控制的準確性和時變噪聲魯棒性的要求,論文將kalman濾波理論引入到自適應濾波中,並應用矩陣理論提出了一種新的時變噪聲統計的平方根kalman自適應演算法。An approach to seeking bgp policy confliction based on reconstructing dispute diagraph with three - dimensional matrix
基於三維矩陣重構爭論有向圖的域間路由振蕩檢測演算法The signal we named it fundamental wave ; according to the fundamental wave, coefficients of the fundamental wave can be lined in a sequence. when the unique of the dissolve of the fundamental wave can be confirmed, the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves, the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves. the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal, sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals, when the fundamental wave is a sine signal, the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory
本文通過分析認為,當信號集中的任一信號可表示為一系列已知信號的線性代數和時,信號集便構成可分解信號集,已知信號稱為基波信號;對可分解信號而言,基波系數構成一序列,當對指定的基波信號集分解唯一確定時,系數序列本身便是信號的一個表示;可分解信號采樣定理指出當基波樣值矩陣的秩等於基波數時,則由采樣點處的采樣樣構成的樣值序列必與基波系數序列一一對應,從而由該樣值序列構成的采樣必為完全采樣;可分解信號采樣定理中的推論指出,對信號集進行采樣,采樣頻率必須大於其信號分解的基波數與其對應時長之比;對有限帶寬信號,若基波信號為正弦信號時,由可分解信號采樣定理推論給出的結論與經典采樣定理一致。Witten ' s open string field theory formulate the interaction of bosonic open strings in the language of noncommutative geometry. compactification of matrix theory on the noncommutative torus was argued to correspond to supergravity with constant background three form tensor field. more generally, it has been realised that noncommutative gauge theory arises in the worldvolume theory on d - brane in the presence of a constant background b field in string theory
Witten的開弦場論用非對易幾何描述了玻色開弦的相互作用;在非對易torus上的矩陣理論的緊化對應于帶有常數三形式張量場的超引力;更為普遍的,非對易規范理論可以自然地產生在帶有常數b背景場的三維d - brane上。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。Based on fault diagnosis theory, network theory, matrix theory and computer arithmetic, a method of optimized erosion diagnosis for medium or large - scale grounding grid is discussed in this paper
本文所研究的中大型接地網腐蝕優化診斷方法是將故障診斷學原理、網路理論、矩陣理論及計算機演算法結合起來,應用於接地網腐蝕診斷這一工程實際問題。Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations
計算積分的方法、復數方法、無線級數、奇殊函數、微分方程、向量及矩陣、群論。Under some natural weak assumptions that do not require the technological coefficients matrix is indecomposable, the fact that the dynamic input - output system is not asymptotically stable and the closed dynamic input - output model exists a balanced growth solution is proved
利用矩陣特徵值理論和廣義系統理論,在相對弱的條件下(不需要直接消耗系數矩陣不可分解) ,證明了動態投入產出系統不是漸近穩定的。This thesis aims at developing common software for monitoring insulation condition of several power equipments, and the software was constructed base on a intersectional structure like matrix
本論文致力於研製出一個可為多種電力設備的絕緣在線監測系統所用的通用軟體,該軟體具有交叉矩陣式框架結構,以電力設備局部放電為第一個監測變量。This paper analyses the numerical simulation problems of the semiconductor devices deeply. a one dimensional pn junction diode is worked out satisfyingly by the recursive method with the matlab5. 3 software
論文深入的分析了半導體器件的數值模擬問題,利用matlab5 . 3等計算機工具,用解三對角矩陣方程的遞歸演算法,實現了pn結二極體的一維求解,取得了比較滿意的結果。From them, the article gives the definitions of the kickstand crane and its parts function, sorts out and arranges them. at the some times, it also gives crane ' s function system chart. on the base of analyzing the chart, the article constructs the crane ' s technological function matrix and get ready for the future research
第二章中簡要介紹了功能論的思想和方法及門座起重機結構和用途,在功能設計法的理論基礎上,對門座起重機的總體和各部件進行了功能定義、功能分類和功能整理,並做出了門座起重機功能系統圖,在分析功能系統圖的基礎上,構造出門座起重機功能技術矩陣,為以後進一步研究作好準備。The topics represented are by no means exhaustive but are meant to be indicative of the work done by researchers in diverse communities involving random matrix theory
這些課題不能說是完全無遺漏的,但可以看到各領域的研究人員用隨機矩陣論所做的工作。The partial ordering of the matrices is facous on the matrix theory, many mathematicians have been engaged in studying the partial ordering of matrix such as kinds of partial ordering and its application
矩陣的偏序是當前矩陣論研究的一個熱點,國內外許多學者從事矩陣偏序的研究,他們研究各種類型的矩陣偏序,並應用到數理統計等學科中。One of the multiphase sequence construction method is advanced by suehiro. the method is based on fh sequence and matrix. we can get more address codes and the correlation of the code is excellent
為了突破這種限制,多相序列的研究已引起學者們的更多關注,其中suehiro的一種多相序列構造方法較為典型,他在fh序列的基礎上用矩陣論的方法構造出多相正交序列,使獨立地址碼的數量更多,相關性能更好。分享友人