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semidefinite matrix in Chinese

Pronunciation:
How to pronounce "semidefinite matrix""semidefinite matrix" in a sentence

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  • 半定矩陣

Examples

  • The eigenvalues of positive semidefinite matrices
    半正定矩陣乘積的特征值
  • 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征值反問題
  • 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(jīng)典的oppenheim不等式的推廣。
  • The second part of this paper is mainly concerned about an interesting matrix inequality presented in [ 5 ] , which is then generalized in m ~ " under the entry - wise nonnegative ordering . we introduced the concept of sub - kronecker product , and establish an inequality which relates the schur complement of a and b for positive semidefinite matrices a and b . our results improve the related known results obtained by t . l . markham and r . l . smith in 1998 ( see [ 5 ] )
    第二部分研究了文獻[ 5 ]中提出的一個有趣的矩陣不等式，并將此不等式在逆m -矩陣中推廣，然后引入次kronecker乘法的概念，提出并證明了一個更廣泛的不等式，改進了t . l . markham和r . l . smith在[ 5 ]中的有關結(jié)果。
  • 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，并討論了graves算法，證明了若a是雙對稱的p _ 0 -矩陣時， lcp ( q ， a )可由graves算法給出； ( 2 )研究了murthy等在[ 6 ]中提出關于半正定矩陣的猜想，給出了半正定矩陣的一些充分條件，并研究了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(zhì)； ( 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。

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