matrix theorem 中文意思是什麼
matrix theorem
解釋
矩陣定理-
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。 -
Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the euler ' s theorem and the coordinate transform is introduced. the dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. so it offers theory foundation for analyzing the dynamic characteristic and designing robust control
由於獵雷艇作為動基座的存在和聲納基陣的框架結構特點，提出了以艇體坐標系為運動坐標系，運用變形的歐拉定理和坐標變換建立聲納基陣相對自身坐標系的旋轉運動方程的建模思想；將所建立的矢量形式的動力學模型展開整理，獲得了狀態矩陣形式的獵雷聲納基陣動力學方程，為系統動力學模型的實用化奠定了基礎。 -
For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。 -
Then, in the light of the characteristic, based on the tikhonov regularization theorem, two new regularizers are designed to mitigate the ill - condition of the normal matrix in gps rapid positioning
基於tikhonov正則化原理，針對這種特性，設計了兩種正則化矩陣r的構造方法。通過新的正則化矩陣的作用，減弱了法矩陣的病態性。 -
Then with implicit function theorem the flexible workspace is dealt with. by using the jacobian matrix of the hybrid input mechanism, the sensitivity of output is obtained. then the condition number of jacobian matrix is derived
進而研究平面閉鏈機構的柔性工作空間，並利用隱函數定理快速地推導出平面閉鏈5r和4rp機構的工作空間的邊界條件。 -
In latter part of chapter three, some exciting properties of the revised lagrangian function discussed first, which leads to form a dual algorithm of cora or cot. convergence theorem proved by banach perturbation theorem, bertsekas implicit function theorem ii and by analyzing hesse matrix of revised largrangian function
另一類是構造相應的lagrange函數及其一種對偶演算法的迭代格式，討論了修正lagrange函數的性質，並藉助banach擾動定理及bertsekas第h隱函數定理，及對修正lagrange函數hesse陣分析，證明了該演算法的收斂性 -
Property of jacobi matrix and theorem of geometric integral transformation
矩陣的性質與幾何體上積分變換定理 -
A method is set forth to calculate the hydrodynamic pressure influence matrix of elastic dam using series development and linear superposition theorem in this paper
利用級數展開和線性疊加原理，本文給出了一種求取彈性壩面動水壓力影響系數矩陣的數值演算法。 -
The quantitative evaluation adopts the matrix compare method, all of the quantitative evaluation has a certain degree of " effect of black box ", qualitative evaluation is us ed to evaluate the result got by theorem qualitatively in reason, and perfect evaluation process and result
評價方法由定性和定量評價相結合，定量評價採用矩陣比較法。任何定量方法都有一定程度的「黑箱效應」 ，採用定性評價是對定理評價結果進行合理定性評價，完善評價過程與結果。 -
Abstract : a method is set forth to calculate the hydrodynamic pressure influence matrix of elastic dam using series development and linear superposition theorem in this paper
文摘:利用級數展開和線性疊加原理，本文給出了一種求取彈性壩面動水壓力影響系數矩陣的數值演算法。 -
Based on a theorem, the paper discusses the estimates of eigenvalues for a few special matrixes and presents a few relations of the eigenvalues for a set of general special matrix, aswell as their proofs
摘要本文在定理的基礎上討論幾個特殊矩陣特徵值的估計，並給出一組一般矩陣特徵值的幾個關系式及證明。 -
Using the hankel transform, the state vector equations are reduced to a set of ordinary differential equations. according to the theory of ordinary differential equations and the cayley - hamilton theorem, an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix, which is given for the four distinct eigenvalues each. applications of the solutions are discussed
利用hankel變換，將狀態變量方程轉化為一組常微分方程組；進而根據常微分方程組解的理論和cayley - hamilton定理，得到了以狀態變量和傳遞矩陣乘積表示的單層壓電壓磁彈性材料的解析解；並討論了4種不同特徵根的情況以及解的應用。 -
An convergence theorem proved and in order to speed convergence of working - set algorithm, constrained matrix derived from abs in working - set method corrected
為提高演算法的收斂速度，對工作集演算法中由abs演算法生成的約束陣進行了校正 -
This paper develops several delay - independent conditions for the robust stability of linear interval systems with delay by applying differential equation theorem and matrix exponential properties. comparisons with previous results are made through remarks. finally, a numerical computation is presented for illustration. 25refs
根據微分方程理論和矩陣指數特性，提出了針對具有線性區間系統的魯棒穩定性的幾個判定條件，並與現有研究結果進行了比較.給出的數值實例表明，所提出的方法改進了相關文獻的結果.參25 -
In chapter 4 windowed function of data signal processing is introduced and applied to addition theorem, which succeeds in solving the difficult problem : it has a bad result when recursive t - matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of te wave
在第四章中引入數字信號處理中的窗函數，成功解決了在入射波為te波時，用遞推t矩陣法計算電大尺寸物體或多個散射體時，精度不高的問題。 -
The ratma can calculate the electromagnetic scattering of multiple cylinders, and can be used in remote sensing. in chapter 2 simply derivation of the ratma is given by the addition theorem, and the general t matrix of single cylinder is deduced. the worked out examples show th e effectiveness of the ratma in the analysis of the scattering field of single cylinder or multiple cylinders
由於遞推t矩陣法不僅可以計算多個柱體或不同形狀柱體的散射，而且可計算遙感上三維物體的散射，在第二章中，利用加法定理，簡要地推導了遞推t矩陣法，並用解析法推出了單個圓柱體在各種情況下的t矩陣（此t矩陣對導體和介質圓柱體的散射場計算都適用） ，最後計算了單個導體圓柱和兩個不同大小介質圓柱體的散射場。 -
In chapter 2, by using matrix measure and schauder fixed theorem, we discuss the existence and uniform stability of unique periodic solutions on neutral volterra integro - differential equations with infinite delay. involving the results that occured
第二章利用矩陣測度和schauder不動點定理討論一類無窮時滯中立型volterra方程周期解的存在性、唯一性及一致穩定性，推廣了非中立型volterra方程的一些結論，而且因為這類方程的廣泛性和代表性，所以包含了已有的一些結果。 -
In this paper, we will investigate the matrix equation in composition over a complete brouwerian lattice. first, we give an equivalent condition for the solvability of this equation, i. e. theorem 2. 2. 3 in this paper : the matrix equation in composition over a complete brouwerian lattice is solvable iff is the minimal solution of this equation
本文主要探討完備brouwer格上的型矩陣方程，首先給出該類矩陣方程可解的一個等價條件，即本文的定理2 . 2 . 3 :完備brouwer格上的型矩陣方程可解的充要條件是是它的解，且是最小解
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