正定對稱矩陣 的英文怎麼說

中文拼音 [zhēngdìngduìchènjǔzhèn]
正定對稱矩陣 英文
positive definite symmetric matrices
  • 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...
  • 對 : Ⅰ動詞1 （回答） answer; reply 2 （對待; 對付） treat; cope with; counter 3 （朝; 向; 面對） be tr...
  • 稱 : 稱動詞（適合; 相當） fit; match; suit
  • 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...
  • 矩陣 : [數學] matrix; array
  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. 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。
  3. The results were then applied to solve the centrosymmetric structural dynamical model updating problems. the optimal solution was entreated for the given pencil of matrices

    然後，將結果應用於中心對稱結構的動力模型修正問題中，對給定的矩陣束，求出滿足特徵方程且具有中心對稱特性的最佳矩陣束逼近。
  4. The centrosymmetric structural dynamical systems with damping were studied. the nearest triple matrix of the centrosymmetric with satisfying characteristic equations was found to a given triple matrix ( mass 、 stiffness and damping matrices ). finally, numerical examples were given

    3 .研究了阻尼中心對稱結構動力模型修正問題，對給定的三重矩陣（質量矩陣、剛度矩陣和阻尼矩陣） ，求滿足譜約束條件且具有中心對稱特性的「最接近」的三重矩陣，並給出數值算例。
  5. 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。
  6. 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。
  7. 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。
  8. A doubly nonnegative matrix a is defined to be an entrywise nonnegative and positive semidifined matrix

    對于給定的一個n階實方陣a ，若其每一元素非負且半正定，則稱為雙非負矩陣。
  9. In mmse based detection algorithms it ’ s inevitable to do the matrix inversion operation, and we have found by analysis that such matrices are all positive definition hermite matrices. so, in chapter three, by renumbers the looped variables we induce a new matrix inversion algorithm and based on the symmetry of the data we further

    由於基於mmse的檢測演算法中會不可避免地遇到矩陣求逆運算，經過分析發現此類矩陣均為正定hermite矩陣，根據此類矩陣的特點引入了變量循環重新編號法求逆演算法，並且根據運算過程中數據的對稱性提出了進一步的簡化方案。
  10. On the metapositive symmetric and metasymmetric definite matrixes

    關于對稱且次對稱矩陣的次正定性
  11. Some properties of adjoint matrix are discussed. the properties are symmetry, antisymmetry, positive definite, positive semi - definite, orthogonal and characteristic value

    摘要討論了伴隨矩陣在對稱、反對稱、正定、半正定、正交、相似和特徵值等方面的性質。
  12. It firstly utilizes the characteristic of layout geometric information to partition the global network into some sub networks. after these sub networks are compressed by cholesky factorization, the sub networks edge nodes are combined with other nodes. calculating the final linear equations group, the algorithm can be very effective

    演算法首先利用版圖幾何特徵，按最小割原理將電源地網劃分成子網，利用對稱正定矩陣cholesky分解壓縮子網內點；將子網等效成與網路其它部分連接的結點集的等效網路，最後通過計算壓縮后的網路，獲得線性方程組求解答案。
  13. Further extended is the definition of the positive definite matrix. thus obtained is the non - symmetrical generatized positive definite matrice and some of its results

    摘要對常規的正定矩陣的定義進行了再推廣，由此得出非對稱的廣義正定矩陣及一些結果。
  14. Perturbation analysis on symmetric indefinite and generalized semi - positive matrices

    關于對稱不定和廣義半正定矩陣的擾動分析
  15. Least - squares solutions of a class of matrix equation on linear manifolds

    線性流行上一類矩陣方程的對稱和對稱半正定最小二乘解
  16. At last, on several linear manifolds, the conditions for the existence of and the general expressions of the symmetric, skew - symmetric and symmetric semi - definite solution of the linear matrix equation f3 ( x ) = 0 are discussed. and the related optimal approximation solutions are obtained

    最後討論了六類線性流形土矩陣方程兒（ x ） = o分別具有對稱解，反對稱解和對稱半正定解的條件，得到了方程和l一s問題解的通式，同時解決了解的最逼近問題
  17. 2. considering pencil of matrices with centrosymmetric could not satisfy characteristic equations in practice, it was necessary to study the centrosymmetric solution of the matrix equation least square problems, and to give pencil of matrices with centrosymmetric of the least squares problems in model updating

    2 .考慮到實際問題中具有中心對稱特點的矩陣束不一定滿足特徵方程，進而研究一類矩陣方程最小二乘中心對稱解及其最佳逼近，從而給出模型修正中的最小二乘中心對稱矩陣束。
  18. Based on them, some properties of the coefficient matrix a are presented when the matrix equation has a positive definite solution

    根據這兩個定理，當矩陣方程有對稱正定解時，給出了系數矩陣
  19. ( 2 ) on the results of new quadratic pek method, the quadratic epek method is discussed. the convergence of the quadratic epek method is proved in hermite positive definite matrix. then the condition of hermite positive definite matrix is extended to the condition of the positive - definable matrix

    （ 2 ）在新型二次pe _ k方法的基礎上，討論了新型二次pe _ k方法的外插迭代二次epe _ k方法的收斂性，證明了當系數矩陣為對稱正定矩陣時二次epe _ k方法的收斂性，並將在正定矩陣條件下收斂的情形推廣到了可正定化矩陣的情形。
  20. If a symmetrical matrix is positive definite, the determinants of all its minors are also positive.

    如果對稱矩陣是為正定者，它的所有子式的行列式也都是正的。
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