positive matrix 中文意思是什麼
positive matrix
解釋
正矩陣-
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 new method of judgement for matrix positive definite in euclid space
空間中矩陣正定性判別的新方法 -
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。 -
We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given
當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。 -
For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。 -
A criterion for the positive definiteness of a block - matrix and its application
分塊矩陣的正定性準則及其應用 -
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。 -
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。 -
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。 -
The method that how to adjust the consumption coefficients according to the final demand structure is researched ; in order to make the right positive characteristic vector of the new consumption coefficient matrix is just the final demand structure
摘要研究了如何根據最終需求的結構來調整原有的消耗系數，使得調整后的消耗系數矩陣的右正特徵矢量是最終需求結構。 -
Among the decomposed synthesis reasoning sources, the field intensities were defined by dependency and classification methods based on the concept of positive region, by discernibility matrix method based on the rate of appearance, and by mutual information, condition entropy and mutual information gain rate methods based on information theory
在分解得到的綜合源中，基於正域的概念，用依賴度和分類質量方法定義了場強，根據屬性出現頻率， ?用差別矩陣定義了場強，並結合信息論，通過互信息、條件熵和互信息增益率定義了場強。 -
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。 -
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。 -
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。 -
For a 2 2 annihilation matrix game, the magnitude of two players ' positive winning utility when they use individually their different pure strategies is studied
對於一類2 2型零化矩陣對策，本文研究了當兩個局中人各自使用不同的純策略時，他們的正贏得效用的大小關系。 -
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。 -
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 。 -
General pkm has no analytic positive solutions, which mirrors in the analysis of kinematic and dynamic. jacobian matrix can not be gained ; when solving the problem with the digital algorithm of gauss - elimination, the coefficient matrix of linear equations group is high degree illness
一般並聯機構沒有解析正解，反映在運動和動力學分析過程中為無法求得雅可比矩陣；當採用高斯消去法的數值解法解雅可比矩陣的方程組或求逆時會發現系數矩陣是高度病態的。 -
An inequality about positive matrix
一個關于正定矩陣的不等式 -
( 3 ) we solve the model of portfolio by using evolutionary programming under the condition of the covariance matrix which is a non - positive matrix, design the methods which can solve markowitz ' s model and multifactor portfolio model. and we improve on markowitz ' s model, establish the optimal model under the conditions that the investor is risk - avoid or risk - like
此外，本文對均值?方差模型進行了改進，得出了投資者為風險偏好或風險厭惡時的資產組合模型，設計了相應的進化規劃演算法，給出了算例，並比較了各模型的差異，分析了改進模型的意義。
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