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.

本文分為三個部分视色4se，主要研究了線性互補(bǔ)問題的幾個相關(guān)的公開問題以及猜想：(1)研究了Murthy等在[2]中提出的公開問題久久免费看少妇高潮A片农村，即對任意的矩陣A黄色日韩av在线，其擴(kuò)充矩陣是否為Q_0-矩陣中国一级黄片播放，給出了肯定的回答，得到充分矩陣的擴(kuò)充矩陣是充分矩陣国产欧美在线一区,二区三区，并討論了Graves算法内射美女处女视频，證明了若A是雙對稱的P_0-矩陣時，LCP可由Graves算法給出免费看一级黄色网站；(2)研究了Murthy等在[6]中提出關(guān)于半正定矩陣的猜想，給出了半正定矩陣的一些充分條件超碰在线亚洲黄色，并研究了Pang~-猜想在线A视频一级视频免费观看，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)国产精品床在线观看爽爽；(3)研究了Danao在[25]中提出的Danao猜想欧美一级黄片在线播放，即，若A為P_0-矩陣一级国产黄色av，則国产午夜福利在线视频导航，我們給出了反例證明了此猜想當(dāng)n≥4時不成立，指出了Murthy等在[20]中的一些錯誤毛茸茸性交，得到n=2欧欧美黄色片国产黄色片，3時，即[25]中定理3.2中A∈P_0的條件可以去掉被操到舒服无码。

In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式環(huán)境下計算對稱帶狀廣義特征值問題的一種擴(kuò)展分治算法免费一级aaa片，給出了特征值分割定理及其證明算法在擴(kuò)展分治的基礎(chǔ)上，利用二分壓縮結(jié)合廣義Rayleigh商迭代計算廣義特征對理論分析和數(shù)值實驗表明欧美日韩精品在线看，對于窄帶寬大規(guī)模的廣義特征值問題亚洲一级片免费，該分治算法明顯優(yōu)于LAPACK軟件包結(jié)合并行性好的多分法，在分布式環(huán)境下獲得了很好的并行效果1 引言本文研究了對稱帶狀廣義特征值問題Ax =λBx ( 1)的并行計算国产三级自抇视频，其中欧美操逼的视频，A ，B均為半帶寬為r的n階實對稱帶狀矩陣且其中之一是正定的本文總假設(shè)B是正定的求解此問題有兩種傳統(tǒng)方法精品国产免费第1区，第1種方法是通過計算矩陣B的Cholesky分解免费的日韩精品视频在线观看，將問題( 1)轉(zhuǎn)化為標(biāo)準(zhǔn)特征值問題[1～3] ，進(jìn)一步

This thesis has mainly contributed two results in theory: one is that the covariance matrix is not positive definitive if the number of sampling is least than the number of variables, the other is that the covariance matrix of discrete sample is positive definitive if and only if the sum of every random column vector of data matrix is non I-linear combination.

本論文在理論上草草影院www色欧美极品，主要得出兩個新的結(jié)果：ⅰ抽樣調(diào)查中精品国产一区二区不卡毛，若樣本的個數(shù)少于變量的個數(shù)則樣本協(xié)方差矩陣恒為非正定；ⅱ離散型樣本協(xié)方差矩陣正定的充要條件是樣本資料陣的各隨機(jī)列向量是非I-線性組合黄色三级片地址91视频。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我們證明了完全單調(diào)函數(shù)的幾個等價條件殴美性爱网址，并且討論了取值于交換von Neumann代數(shù)的正定函數(shù)精品国产一区二区三区免费看，半正定函數(shù)及完全單調(diào)函數(shù)之間的關(guān)系。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了離散型樣本協(xié)方差矩陣正定的充要條件欧美黑大粗硬，得到了求離散型樣本協(xié)方差矩陣正定概率的模型人人操人人干人人叫，建立了特殊情況下的抽樣優(yōu)化模型。

It is a natural generalization of the notion of implicative ideals in BCK algebras.

證明了BCI代數(shù)的一個非空子集是BCI關(guān)聯(lián)理想當(dāng)且僅當(dāng)它既是BCI交換理想又是BCI正定關(guān)聯(lián)理想6080理论三级国产在线观看，從而揭示了這三類理想之間的內(nèi)在聯(lián)系黄色视频黄片，并將BCK代數(shù)中知名論斷：BCK代數(shù)的一個非空子集是關(guān)聯(lián)理想當(dāng)且僅當(dāng)它既是交換理想又是正定關(guān)聯(lián)理想，推廣到BCI代數(shù)上去国A无码高清。

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[1WWW.激情.com，4]中定義廣義正定矩陣的概念再作推廣，并討論各種不同定義下的廣義正定矩陣間的包含關(guān)系18禁黄网站禁止免费观看，給出M-矩陣等價的四種新定義免费在线看AⅤ。

The first way is to ensure the kernel function to be positive definite by introducing space mapping transformation;the second way is using similar-SVR model to solve the unsolvable problem of SVR model with non-positive definite kernel function.

一是通過引入空間映射變換保證所得到的SVR的核函數(shù)是正定的；二是利用近似SVR模型解決具有非正定核的SVR模型的不可解問題性福利黄色网站在线观看免费。

The text for making every variety positive definite matrix and positive sub-definite matrix to unification, the concept of almost positive definite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained.

本文研究了各類正定矩陣與次正定矩陣的基本性質(zhì)及行列式理論日本免费一级黄色片，提出了準(zhǔn)正定矩陣的概念，獲得了許多新的結(jié)果日韩最新调教中文字幕视频网站，推廣了HadamardAAAAAAA级特黄性爱视频、Openheim、Ostrowski-Taussky與Minkowski等著名不等式以及屠伯塤欧美多人囗交A片、楊新民等的有關(guān)結(jié)果欧美综合亚洲，擴(kuò)大了Minkowski不等式的指數(shù)范圍。

Not every partial positive definite Toeplitz matrix has Toeplitz positive definite completion and not every par2 tial positive definite matrix which has positive definite completion has Toeplitz positive definite completion.

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