陣的范數 的英文怎麼說

中文拼音 [zhèndefànshǔ]
陣的范數 英文
norm of a matrix
  • 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...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 范 : 名詞1 [書面語] （模子） pattern; mould; matrix 2 （模範; 榜樣） model; example 3 （范圍） boundar...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 范數 : norm
  1. First, we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0, x when coefficient a is an m - matrix and f ' ( x ) 0. by applying the theory of weak regular splitting of matrices to the above considered algorithm, we obtain the weighted max - norrn bound for iterations. moreover, under the assumption that f ( x ) is concave, we establish monotone convergence of the considered algorithm

    本文內容如下：首先，應用加性schwarz演算法求解非線性互補問題，其中a是m陣，應用弱分解理論，我們獲得了在加權范數意義下誤差的幾何收斂速度，在f （ x ）是凹函數的假設下我們還獲得了此演算法的單調收斂性，同時我們給出此演算法的一種修改演算法，無需前面的假設，該演算法具有單調收斂性。
  2. With the generalized algebraic riccati inequality ( gari ) approach, a sufficient and necessary condition for the existence of dynamic output feedback h controllers is presented, such that the resulting closed - loop sy stem is admissible with its transfer function satisfying h norm constraint

    利用廣義代數riccati不等式，給出離散廣義系統存在正常動態輸出反饋h控制器，使得閉環系統是容許的且其從外界干擾輸入到受控輸出的傳遞函數矩陣具有h范數約束的充分必要條件。
  3. 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。
  4. 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。
  5. The smart antenna, which is adapted in the wireless mobile communication system, in fact, forms an antenna with a high gain. thus communication in all directions can be proceeded, then base station antenna coverage, system capacity and service quality are improved, also inter - symbol interferes and multi - access interfere are reduced. the space division multiple access ( sdma ) is introduced, and users can be distinct from each other through their special location

    在無線移動通信系統中採用智能天線技術，實際上是通過數字信號處理，使天線陣為每個用戶自適應地進行波束賦形，相當于為每個用戶形成了一個可跟蹤它的高增益天線，從而即可以進行全方位通信，也可以用較小的發射功率覆蓋相同的范圍以及提高系統容量和業務質量、降低用戶間的碼間干擾和多址干擾。
  6. A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula

    作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。
  7. The paper contains two segments : static and dynamic detection, evaluation and alteration. static monitoring contains apparent and load detection. the model of multi - layer fuzzy evaluation and the bridge using capability grade membership function are used in the appraisal of the bridge technical condition of the highroad criterion technic and maintenance, and then the data and excel of the bridge compontents. the bridge grade membership function can be deduced from the factor theory domain. grade theory domain and the bridge using capacity grade membership function, then by baseding the connection of weigh and factor judgement matrix and judging gradually, finally the bridge comprehensive evaluation synthetical judging grade will be figured out

    在表觀檢測中將多層次模糊評價模型和橋梁使用性能等級隸屬函數引入《公路技術養護規范》中的橋梁技術狀況等級評定中，並對此規范中的橋梁部件缺損狀況評定狀況進行修正；通過建立因素論域、等級論域以及根據王光遠教授提出的利用典型函數形式來建立橋梁使用性能等級隸屬函數，通過權重和因素評判矩陣的關系來運算，逐級評判，最終求出橋梁綜合評判等級。
  8. The wsf method and ml method can be used in direction finding of coherent sources. we find that tam has the widest direction finding range while the available direction finding ranges of the dsam, sam _ isp, sam _ aisp, sam _ gsp and sam _ agsp are in a certain area centered at the look direction. the sam _ isp, sam _ aisp, sam _ gsp and sam _ agsp can change the effective direction finding ranges by adjusting their inner parameters and furthermore they can improve the sidelobe suppression effect compared with the dsam method

    得到tam的測向范圍最寬，基於后五種簡化陣列流形的測向方法其測向有效范圍均是集中在波束指向附近的一定范圍內，其中sam _ isp 、 sam _ aisp 、 sam _ gsp和sam _ agsp對應的測向范圍可通過調整內部的參數進行相應的調整，相應地較dsam也可改善對旁瓣源的抑制效果。
  9. An explicit expression to compute the h norm of the discrete - time symmetric system is established using the bounded real lemma. one explicit solution of stabilizing output feedback gains is obtained for the output feedback stabilization problem. ah explicit expression for h norm and the sub - optimal output feedback controllers have been obtained for the h control problem

    證明邊界實引理在離散對稱系統時有單位矩陣解，利用這一性質給出一個計算h ~范數的格11浙江大學博士學位論文式，並給出對稱輸出反饋可穩定問題的一個明顯解和h 」控制次優輸出反饋控制器。
  10. The norm - bounded parametric uncertainties entered into system matrices, input matrices and interconnections in all of the t - s fuzzy subsystems. dpdc controllers are designed for the uncertain interconnected fuzzy large - scale systems and lmi - based decentralized robust stabilizable conditions for uncertain interconnected fuzzy large - scale systems are developed

    所考慮的參數不確定性以范數有界的形式出現在各個子模糊系統的系統矩陣、輸入矩陣及輸出矩陣中，本論文討論了該類不確定性關聯大系統dpdc控制器的設計問題。
  11. The other are a hybrid preconditioning strategy, in which a simple pivoting preconditioner is used in combination with the standard inverse - midpoint method and a new scheme for selecting the real point in formulating interval newton equation

    使用混合預處理和優化實數向量：所謂混合預處理，就是聯合了標準中點逆矩陣預處理和中樞預處理。優化實數向量就是選擇合適的實數向量來縮小線性區間等式的解向量n （ x ）所包括的范圍。
  12. The subject is related and has applications to many different branches of pure and applied science such as operator theory, functional analysis, c " - algebras, banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum physics, etc. in recent years, the quadratic numerical range, one of the most important generalizations of the numerical range, was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above

    對它們的研究涉及到了基礎數學及應用數學許多不同的分支，諸如運算元理論，泛函分析， c ~ * -代數， banach代數，矩陣范數，不等式，數值分析，擾動性理論，矩陣多項式，系統論，量子物理等等，並且在這些分支上面得到了廣泛的應用。近年來，為了上述某些數學分支發展的需要，人們在研究分塊運算元矩陣譜理論的過程中引入了數值域的一個重要推廣：二次數值域。
  13. Hx theory and relative principle of filtering are studied. the relation between hx norm performance and riccati equation or inequality is discussed. the structure and plus matrix of hx filtering in different conditions ( linear discrete, linear continue and nonlinear system ) are given

    介紹了h _基本思想和濾波的相關理論，討論了h _范數與黎卡提方程和不等式的關系，討論了卡爾曼濾波和h _濾波確定增益矩陣的方法，給出了各種不同情況下h _濾波的基本結構和增益矩陣的確定方法。
  14. Based on lyapunov stability theorem and lmis approach, a control profile, including both static state feedback control and dynamic output feedback control, is presented for norm - bounded uncertain discrete - time linear systems with actuator sector nonlinearity ; 2

    以線性矩陣不等式方法為帶有扇形飽和非線性執行器的范數有界時變不確定離散線性系統設計線性狀態反饋控制器和線性動態輸出反饋控制器； 2
  15. This thesis is concerned with fault detection and isolation problem for dynamic systems such as norm - bounded uncertain systems, state - delayed uncertain systems, linear parameter - varying systems with time delays, time - delay systems with markovian jump parameters and nonlinear systems by using fault detection filter, threshold selection method and linear matrix inequalities

    本論文研究了動態系統的魯棒故障檢測與分離問題，基於故障檢測濾波器和閾值邏輯方法，採用線性矩陣不等式技術，研究了范數有界不確定系統、時滯不確定系統、時滯lpv系統、時滯馬爾可夫跳躍系統、非線性系統的魯棒故障檢測與分離問題。
  16. Fist, the problem of robust stability for the uncertain linear discrete - time systems is studied where the uncertain matrixes are unstructured, highly structured, norm bounded and matrix polytope structured. the relevant conditions that the systems is robust stability are obtained using the characteristic value method, lyapunov function method and linear matrix inequality method. then we give some examples to prove

    分別針對具有非結構不確定性、強結構不確定性、矩陣多胞形結構不確定性和范數有界不確定性等線性離散系統，利用特徵值方法、 lyapunov函數方法和線性矩陣不等式方法等進行討論，給出了相應系統的魯棒穩定性判別條件，並通過算例進行了驗證。
  17. When calculate the correlation function of binary array pairs, using the boolean calculation instead of the decimal multiplication, using the method of count the number of 1 in binary integer to calculate the correlation function of binary array pairs, the speed of searching is obviously improved by these methods. by the algorithm introduced in this paper, the constant weight and normative perfect binary array pairs whose volume from 4 to 28 and quasi - perfect binary array pairs whose volume from 2 to 24 were searched and gi ved the new result

    此外，採用二進制整數來表示陣列，通過對整數的邏輯運算來實現陣列偶的移位變換、完全采樣變換等運算；在計算二進陣列偶的相關函數時，用整數的邏輯運算代替十進制中的乘法運算，並用計算二進制整數中1的個數的方法來計算二進陣列偶的相關函數，以上方法的採用明顯地提高了搜索速度。利用上述演算法，對體積為4 28的等重規范型最佳二進陣列偶和體積為2 24的準最佳二進陣列偶進行了搜索，並給出了新的結果。
  18. Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been

    本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。
  19. The minimal norm solutions of the equation f4 ( x ) = 0 over srmxm are derived, and also the necessary and sufficient conditions for the existence of and the general expressions of the skew - symmetric solution of the equation f4 ( x ) = 0 are obtained, the related l - s problem f4 ( x ) = min is solved. 5. the necessary and sufficient conditions for the existence of and the general expressions of the skew - symmetric solution of the generalized sylvester equation f5 ( x, y ) = 0 are obtained, and the related optimal approximation solution is obtained, too

    得到了矩陣方程f _ 4 （ x ） = 0在sr ~ （ m m ）上的極小范數解，同時導出了此方程具有反對稱解的充分必要條件和解的通式，解決了相應的l一s問題人（ x ）二min . 5 .得到了廣義sylvester方程兒（ x ， y ） = 0具有反對稱最小二乘解的充分必要條件和解的通式以及解的最佳逼近問題的解，導出了幾（ x ， y ）二0具有置換對稱解的充分必要條件，解的通式及解的最佳逼近問題的解
  20. The idea of complex formal derivatives is generalized from scalar to vector and ma - trix at first, then the manipulation rules of complex formal derivatives are derived systema - tically. as a mathematical tool, it is useful in the study of certain theory and numerical meth - od in electrical engineering problems

    網友解答：將原來僅限於標量的復形式導數，推廣到復向量和復矩陣的范圍，並系統地導出了復向量和復矩陣形式導數的運演算法則；為電機工程的某些理論和計算方法的研究，提供了一個有力的數學工具。
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