positive semidefinite 中文意思是什麼
positive semidefinite
解釋
半正定- positive : adj 1 確實的,明確的;確定的;無條件的 (opp qualified implied inferential); 絕對的,無疑問的,...
- semidefinite : 半定的
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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。 -
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,並將此不等式在逆m -矩陣中推廣,然後引入次kronecker乘法的概念,提出並證明了一個更廣泛的不等式,改進了t . l . markham和r . l . smith在[ 5 ]中的有關結果。 -
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。 -
Then a is positive semidefinite, negative definite and negative semidefinite.
則A是半正定,負定,半負定的。 -
Then a is positive semidefinite, negative definite and negative semidefinite
則a是半正定,負定,半負定的。 -
The semidefinite positive on the tensor product of matrix
矩陣張量積的半正定性 -
The eigenvalues of positive semidefinite matrices
半正定矩陣乘積的特徵值 -
Positive semidefinite hermitian matrix solution of a matrix equations
特殊子空間上矩陣方程有解的判定 -
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 -
Analysis of multistep finite volume methods for positive semidefinite problem of two - phase incompressible flow
多孔介質中不可壓縮流體的可混溶驅動問題的全離散有限元配置法 -
1. in this thesis, the necessary and sufficient conditions for the existence of and the gerenal expressions for the symmetrizable, semidefinite - symmetrizable and positive - definite - symmetrizable solutions of the equation f1 ( x ) = 0 are obtained, and also, the related least - squares problems are solved
得到了逆特徵值問題f _ 1 ( x ) = 0有可對稱化解,可對稱半正定化解,可對稱正定化解的充分必要條件和解的通式,同時解決了解的最佳逼近問題。 -
Solutions of inverse problems for positive definite semidefinite symmetrizable matrices and the optimal approximation problem
正定化矩陣反問題的解及其最佳逼近 -
A class of left and right inverse eigenvalue problems for positive definite symmetric and positive semidefinite symmetric matrices
一類對稱正定及半正定的左右逆特徵值問題 -
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。
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