正定矩陣 的英文怎麼說

中文拼音 [zhēngdìngjǔzhèn]
正定矩陣 英文
positive 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...
  • 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. On dx - generalized positive definite matrices

    廣義正定矩陣
  3. 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。
  4. 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。
  5. Note on determinant inequalities of metapositive definite matrix

    關于次正定矩陣行列式不等式的注記
  6. We extend the determinant inequality of generalized real positive definite matrices that is advanced by paper [ 3 ]. moreover we give its convex inequality

    摘要推廣了文獻[ 3 ]中的廣義實正定矩陣的行列式不等式，同時給出了廣義實正定矩陣的凸性不等式。
  7. When the covariance matrix formed by securities yields is positive definite, we provide the model with transaction costs, the risk is b index risk, researching the model under short sale and no short sale separately

    在證券收益率之間的協方差陣為正定矩陣時，給出了以值風險為風險指標的含有交易費的證券組合投資模型，並分別在允許賣空和不允許賣空兩種情形下進行了討論。
  8. 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。
  9. 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。
  10. On the necessary and sufficient conditions of regular matrix

    關于亞正定矩陣的幾個判別條件
  11. 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
  12. This paper will put the concept of definiting generalized positive definite matrices in paper [ 1, 4 ] into the further extensions, discuss the inclusion relation betweenness generalized positive definite matrices in all the different definitions, and give four new definitions on an equality with m - matrices

    摘要將文[ 1 ， 4 ]中定義廣義正定矩陣的概念再作推廣，並討論各種不同定義下的廣義正定矩陣間的包含關系，給出m -矩陣等價的四種新定義。
  13. Generalized positive definite matrices and its property

    廣義正定矩陣及其性質
  14. Further researches on generalized positive definite matrices

    廣義正定矩陣的進一步研究
  15. Note on determinant inequalities of generalized positive definite matrices

    關于廣義正定矩陣行列式不等式的注記
  16. Results linear complementary problem have unique solution when m is generalized positive definite matrix

    結果得到了當m是廣義正定矩陣時，線性互補問題存在唯一解。
  17. In this paper, we ' ll give another simple method to seek normal orthogonal basis by using the properties of positive definite matrix

    摘要利用正定矩陣的性質，得到標準正交基的另一種較簡單的求法。
  18. Aim to solve question about the existence and uniqueness of the solution for linear complementary by using generalized positive definite matrix

    摘要目的解決用廣義正定矩陣來判別線性互補解的存在唯一性問題。
  19. The eigenvalues of positive semidefinite matrices

    半正定矩陣乘積的特徵值
  20. If the proper parameter is chosen, the linear pek method is superior to the linear pe method. ( 2 ) in order to improve the linear pe method and the linear pek method, the quadratic pe method and the quadratic pek method are put forward. then the solvability and the convergence of the two methods are discussed about the hermite positive definite matrix and m - matrix, and the interrelated conclusions are obtained

    （ 2 ）將一次pe方法和一次pe _ k方法改進為二次pe方法和二次pe _ k方法，討論了當系數矩陣a為hermite正定矩陣和m -矩陣時，二次pe方法和二次pe _ k方法的可解性和收斂性等問題，得到了相關的結論。
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