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.

本文分為三個部分老妇人黄色片，主要研究了線性互補問題的幾個相關(guān)的公開問題以及猜想：(1)研究了Murthy等在[2]中提出的公開問題色色色視頻，即對任意的矩陣A，其擴充矩陣是否為Q_0-矩陣国产第一页视频，給出了肯定的回答一级A片老司机黄色毛片，得到充分矩陣的擴充矩陣是充分矩陣，并討論了Graves算法欧美乱色伦的图片区，證明了若A是雙對稱的P_0-矩陣時国产精品va视频，LCP可由Graves算法給出；(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97偷自拍亚洲综合，并研究了Pang~-猜想欧美3p，得到了只R_0-矩陣與Q-矩陣的二個等價條件欧美老妇性A片高清视频，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猜想又色又黄又爽app2020，即，若A為P_0-矩陣毛片A片一级视频免费看，則最新日本三级片，我們給出了反例證明了此猜想當n≥4時不成立在线看黄官网，指出了Murthy等在[20]中的一些錯誤，得到n=2欧美一级A片视频在线播放，3時，即[25]中定理3.2中A∈P_0的條件可以去掉午夜国产性爱影视在线超黄超污A片。

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展分治算法91精品啪在线观看国产麻豆免费，給出了特征值分割定理及其證明算法在擴展分治的基礎(chǔ)上日韩老司机深夜无码影院视频，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，對于窄帶寬大規(guī)模的廣義特征值問題日韩欧美一区二区中文字幕黄色视频，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国产中文福利，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)的并行計算免费A级毛片无码A∨中文，其中，A 免费看日黄片，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，第1種方法是通過計算矩陣B的Cholesky分解黄色网站免费x，將問題( 1)轉(zhuǎn)化為標準特征值問題[1～3] 成年人视频黄色网站，進一步

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，主要得出兩個新的結(jié)果：ⅰ抽樣調(diào)查中在线观看欧美一级片，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免费看黄网站在线观看免费最新；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列向量是非I-線性組合。

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)的幾個等價條件在线观看美女一区，并且討論了取值于交換von Neumann代數(shù)的正定函數(shù)亚洲自偷自偷图片在线，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久久婷婷五月综合品精，得到了求離散型樣本協(xié)方差矩陣正定概率的模型，建立了特殊情況下的抽樣優(yōu)化模型日本又硬又爽又黄又粗的视频。

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)理想當且僅當它既是BCI交換理想又是BCI正定關(guān)聯(lián)理想，從而揭示了這三類理想之間的內(nèi)在聯(lián)系2015超碰，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)理想當且僅當它既是交換理想又是正定關(guān)聯(lián)理想，推廣到BCI代數(shù)上去白丝袜免费又黄又爽视频。

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[1，4]中定義廣義正定矩陣的概念再作推廣女人18特级一级毛片免费视频，并討論各種不同定義下的廣義正定矩陣間的包含關(guān)系中文字幕日韩电影在线，給出M-矩陣等價的四種新定義。

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)是正定的五月天色小说；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。

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)及行列式理論亚洲大型综合，提出了準正定矩陣的概念，獲得了許多新的結(jié)果亚洲色偷偷偷第一综合网，推廣了Hadamard碰碰视频国产、Openheim超碰超碰在线播放、Ostrowski-Taussky與Minkowski等著名不等式以及屠伯塤久久久性交、楊新民等的有關(guān)結(jié)果先锋在线资源网，擴大了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.

并不是所有的部分正定Toeplitz 矩陣都有Toeplitz 正定完成少妇激情一区二区免费视频，也并不是每個有正定完成的部分正定矩陣都有 Toeplitz 正定完成。

positive definite：正定,正定的

positive damping 正阻尼 | positive definite 正定,正定的 | positive definite differential form of degree two 正定二次微分形式

positive definite Hermitian form：正定埃爾米特型

positive definite function 正定関數(shù) | positive definite Hermitian form 正定埃爾米特型 | positive definite Hermitian inner product 正定埃爾米特內(nèi)積

positive definite Hermitian matrix：正定埃爾米特矩陣

positive definite Hermitian inner product 正定埃爾米特內(nèi)積 | positive definite Hermitian matrix 正定埃爾米特矩陣 | positive definite Hermitian operator 正定埃爾米特算子

positive definite Hermitian operator：正定埃爾米特算子

positive definite Hermitian matrix 正定埃爾米特矩陣 | positive definite Hermitian operator 正定埃爾米特算子 | positive definite Hermitian transformation 正定埃爾米特變換

positive definite Hermitian transformation：正定埃爾米特變換

positive definite Hermitian operator 正定埃爾米特算子 | positive definite Hermitian transformation 正定埃爾米特變換 | positive definite inner product 正定內(nèi)積

positive definite quatratic form：正定二次型

positive definite matrix 正定矩陣 | positive definite quatratic form 正定二次型 | positive semidefinite matrix 半正定矩陣

positive definite differential form of degree two：正定二次微分形式

positive definite 正定,正定的 | positive definite differential form of degree two 正定二次微分形式 | positive definite form 正定型

positive definite symmetric kernel：正定對稱核

positive definite sequence 正定序列 | positive definite symmetric kernel 正定對稱核 | positive definite symmetric matrices 正定對稱矩陣

positive definite matrix：正定方陣

正定核 positive definite kernel | 正定方陣 positive definite matrix | 正定算子 positive definite operator

positive definite matrix：正定行列

positive definite kernel 正定核 | positive definite matrix 正定行列 | positive definite operator 正定算子