正定陣 的英文怎麼說

中文拼音 [zhēngdìngzhèn]
正定陣 英文
positively definite matrix
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 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...
  1. 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。
  2. On dx - generalized positive definite matrices

    廣義正定矩陣
  3. The new method of judgement for matrix positive definite in euclid space

    空間中矩陣正定性判別的新方法
  4. Considering the eigen - equations belong to redundance equations because the measured eigen - pairs are less than the orders of model, in order to solving the ones and get the modification matrices of mass and stiffness, the excrescent variables are given randomly

    為了求解超越方程以確定質量與剛度修正矩陣，提出隨機給定超越方程中的多餘變量值，採用遺傳演算法來尋優。
  5. Negative matrices over a c - algebra and geometric mean of two positive definite elements

    代數上的非負矩陣與正定元的幾何平均
  6. 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。
  7. A new method on the decision of positive definite quadratic form using the real square matrices

    利用實方陣判定二次型正定性的新方法
  8. 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。
  9. A criterion for the positive definiteness of a block - matrix and its application

    分塊矩陣的正定性準則及其應用
  10. There have developed some technique to ensure the positive definiteness of the hessian of the quadratic objective function

    迄今為止，已提出了多種保證子問題的目標函數的hessian陣的正定性的方案。
  11. Linear matrix inequality was introduced to cope with the puzzle of determining common positive matrix. theory of stability analysis and controller design was established based on lmi method. ( 3 ) nonlinear fuzzy p redictive c ontrol t heory b ased on t - s s tate s pace m odel was explored

    針對穩定性分析中公共正定矩陣p難以確定的難題，引入了lmi方法，藉助于成熟的數學工具，不僅解決了確定公共正定矩陣p的問題，而且建立了基於lmi方法的穩定性分析和控制器設計的理論方法。
  12. By analyzing and studying the dynamic characteristic of the minehunting sonar array, the author points out that the minehunting sonar array posture control system is a non - linear and intense coupling dynamic system. according to characteristics of the common inertia matrix, the author testifies that the inertia matrix of the minehunting sonar array has many dynamic characteristics such as the limited boundary quality, the symmetry quality and the positive definite quality

    對獵雷聲納基陣的動力學特性進行分析研究，指出了獵雷聲納基陣控制系統為非線性、強耦合的動力學系統；從一般的慣量矩陣特性入手，證明了獵雷聲納基陣的慣量矩陣具有有界性、對稱性及正定性等動力學特性。
  13. In this paper it is shown that a partial toeplitz pattern has a toeplize positive definite completion if and only if the diagonals for the specified entries are 0, t, 2t, . ., pt ( in which the main diagonal is numbered 0 )

    本文討論部分toeplitz正定陣的toeplitz正定完成問題，證明了一個部分正定toeplitz模式存在正定toeplitz完成的充分必要條件是已知元所在對角線的標號成等差數列。
  14. Point to above problems, under the financial support of the national natural science foundation ( exploration of high tech and new concept and new conceive ), the excellent young teachers program of ministry of education and national excellent doctoral dissertation special foundation, the static and dynamic real - time computation of elasticity - plastic mechanics, solving method of fuzzy finite element and other problems were studied in this paper. and some achievement was gained as following : ( 1 ) based on the positive definiteness of system stiffness matrix of finite element that was modified and the form of potential energy function of elastic body, the linear system of saturation mode ( lssm ) was introduced into the neural computation of finite element, by which the no - error solving of finite element neural net computation was realized in theory

    針對上述問題，在國家自然科學基金（高技術新概念新構思探索） 、教育部優秀青年教師資助計劃、高等學校全國100篇優秀博士學位論文作者專項基金等的資助下，本文對彈塑性力學問題的動靜態的實時計算、模糊有限元的求解方法等問題進行了系統和深入的研究，取得了以下成果： （ 1 ）根據有限元總剛矩陣經修正後具有正定性的特點以及彈性體勢能函數的具體形式，將飽和模式的線性系統（簡稱為lssm系統）引入到有限元的神經網路計算中，在理論上實現了有限元神經網路計算的無誤差求解。
  15. However, some of them are restrictive. for some of these methods, the convergence is not known in this paper, based on a modified bfgs update formula proposed by li and fukushima, we propose a modified bfgs method for solving equality constrained optimization

    本文在li - fukushima提出的求解無約束問題的修正bfgs公式的基礎上，對求解等式約束問題的sqp演算法，提出一個保證qp子問題的目標函數的hessian陣的正定性的修正方案。
  16. With the method, all integrals can be easily fulfilled on regular sub - domain boundaries, and to impose the essential boundary conditions, a penalty parameter can be used so that a positive definite and symmetric stiffness matrix may be obtained

    計算中，積分都在規則形狀邊界子域上完成，因而容易實現；通過罰因子添加本質邊界條件，從而使得到的剛度矩陣是正定對稱矩陣。
  17. This thesis mainly considers ordinary linear regression model and generalized one, that is, models and are involved. in term of the unknown parameter, it is necessary to study its estimation

    論文主要針對一般線性回歸模型和廣義線性回歸模型，即： ，和，其中，為向量，為設計矩陣，且，為向量，為向量，是已知的正定陣。
  18. The left and right inverse eigenvalue problem for symmetric positive definite and symmetric positive semidefinite matrices on subspace

    子空間上的對稱正定及對稱半正定陣的左右特徵值反問題
  19. A survey on completely positive matrices

    有關完全正定陣的綜述
  20. In chapter 2, we give some important properties of metapositive definite matrices, the expression of real and imaginary part about eigenvalues of real square matrices as well as the range of eigenvalues of real square matrices ( especially the range of their imaginary part ). on the other hand, we sum up, establish and extend some necessary and sufficient conditions of metapositive definite matrices roundly. in chapter 3, we give some important properties of complex positive definite matrices, the expression of real and imaginary part about eigenvalues of complex square matrices as well as the range of eigenvalues of complex square matrices. on the other hand, we sum up, establish and extend some necessary and sufficient conditions of complex positive definite matrices roundly. in summary, we discuss in terms of set theory the relation among real symmetric positive definite matrices, hermitian positive definite matrices and two types of generalized positive definite matrices - metapositive definite matrices and complex positive definite matrices

    第一章：除引入hermite矩陣、 hermite正定矩陣和實對稱正定矩陣較重要的性質外，還建立了它們的其它一些重要性質，尤其較全面地總結和建立了它們的若干充分和必要條件；第二章：建立了亞正定陣的一些重要性質，給出了實方陣的特徵值實部和虛部的表達式，並導出了實方陣的特徵值范圍尤其是導出了其虛部范圍，同時著重較全面地總結、建立和推廣了亞正定陣的若干充分和必要條件；第三章：建立了復正定矩陣的一些重要性質，給出了復方陣的特徵值實部和虛部的表達式，並導出了復方陣的特徵值范圍，同時著重較全面地總結、建立和推廣了復正定矩陣的若干充分和必要條件；全文小結：從集合論的觀點出發，對已討論過的四類正定矩陣? ?實對稱正定矩陣、 hermite正定矩陣、亞正定矩陣和復正定矩陣之間的關系作了比較細致的論證與探討。
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