正半定矩陣 的英文怎麼說

中文拼音 [zhēngbàndìngjǔzhèn]
正半定矩陣 英文
positive semidefinite matrix
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 半 : Ⅰ數詞1 （二分之一） half 2 （在 中間的） in the middle; halfway 3 （比喻很少） very little; the l...
  • 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. 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。
  3. 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。
  4. According to the theory of continuous - time markov chains, given a g - matrix q, it is possible that there exist infinite transition functions and therefore there maybe exist infinite positive contraction semigroups ( co semigroups ) on l1 derived from q - matrix q. but each positive contraction semigroup has and only has one infinitesimal generator

    給定一個q -矩陣q ，可能存在無窮多個轉移函數，從而在l1空間上可能有無窮多個正的壓縮半群（ c _ 0半群）與之對應，而每個正的壓縮半群有且僅有一個無窮小生成元。
  5. On the base of li ' s paper [ 41 ], we first discuss the relationships between q - matrix q and the generators of positive once integrated semigroups on derived from transition functions

    Li 41的基礎上，我們首先討論由轉移函數導出的l 。上的正的一次壓縮半積分群的生成元與q矩陣q之間的關系；其次，我們該討論問題的反面：給定l 。
  6. Lastly we consider the perturbation bound on hermitian positive semidefinte factors for unitrary polar decomposition ( see 5. 1 ), which ' improve and extend the corresponding results in other papers

    第五章討論了在矩陣酉極分解中hermite半正定因子的擾動（見5 1 ） ，對以往的結果做了改進。
  7. Positive semi-definite matrices are positive definite if and only if they are nonsingular.

    正半定矩陣是正定的，當且僅當它們是非奇異矩陣。
  8. 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。
  9. 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
  10. 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
  11. 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
  12. In this thesis, the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis. and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator

    論文主要用泛函分析中的線性運算元c _ 0半群理論研究生滅過程理論中柯爾莫哥洛夫向後微分方程組解的適定性，及用正運算元和共軛運算元的理論和一些結論研究了該方程組系數矩陣運算元的占優本徵值的存在性問題。
  13. Minor self - conjugate and skewpositive semidefinite solutions to a system of matrix equations over skew fields

    體上一矩陣方程組的次自共軛及斜亞半正定解
  14. The semidefinite positive on the tensor product of matrix

    矩陣張量積的半正定性
  15. The eigenvalues of positive semidefinite matrices

    半正定矩陣乘積的特徵值
  16. The research on positive definite complex matrix

    半正定復矩陣的研究
  17. The results of this paper extend the existed results of normal systems to descriptor systems. 8. lower and upper matrix bounds for the positive semidefinite solution of discrete - time riccati matrix equation are obtained

    給出離散ricoati方程和統一的耦合代數ricoati方程的半正定解的上、下矩陣邊界估計，並得到求離散ricoat方程和統一的耦合代數ricoati方程的半正定解的兩個迭代演算法。
  18. The related results of the definite positive matrices are extended

    推廣了關於半正定矩陣的相應結果。
  19. The relation between some special matrices and its squares are discussed, in the sense of the star partial ordering, the minus partial ordering and lower partial ordering, the related results of the definite positive matrices are extended, some related results on the general matrices are obtained

    研究矩陣及其平方矩陣偏序之間的關系，解決了j . k . baksalary和f . pukesheim提出的公開問題，並推廣到更一般的情形，對於一般矩陣同時得到了若干新結果，推廣了關于（半）正定矩陣的相應結果。
  20. The positive subdefinite and semipositive subdefinite solutions of matrix equation ax

    半正定二次型及半正定矩陣
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