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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.

本文分为三个部分,主要研究了线性互补问题的几个相关的公开问题以及猜想:(1)研究了Murthy等在[2]中提出的公开问题,即对任意的矩阵A,其扩充矩阵是否为Q_0-矩阵,给出了肯定的回答,得到充分矩阵的扩充矩阵是充分矩阵,并讨论了Graves算法,证明了若A是双对称的P_0-矩阵时,LCP可由Graves算法给出;(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想,给出了半正定矩阵的一些充分条件,并研究了Pang~-猜想,得到了只R_0-矩阵与Q-矩阵的二个等价条件,以及E_0∩Q-矩阵的一些性质;(3)研究了Danao在[25]中提出的Danao猜想,即,若A为P_0-矩阵,则,我们给出了反例证明了此猜想当n≥4时不成立,指出了Murthy等在[20]中的一些错误,得到n=2,3时,即[25]中定理3.2中A∈P_0的条件可以去掉。

Through systemic energy comparison and energy analysis between symmetric and asymmetric TBT, parallel and antiparallel TBT, as well as the conjugate TBT, we found: i.

对于对称单体,平行TBT的能量通常低于反平行TBT的能量,对于对称三体,平行TBT的能量通常高于反行TBT的能量。

Using a method for storing the large-scale sparse matrix with varying band width, Cholesky decomposition, Green function and normalized least square fitting inversion, the paper improved the computing accuracy and efficiency in imaging calculation.

利用有限元方法实现了井间电磁成像,为了求取散射电磁场的积分方程组,运用了处理大型对称变带宽方程组的 Cholesky 分解法,反演时使用了格林函数和最小二乘法,既提高了反演速度又提高了反演质量。

Configurational isomerism is then due to the presence in the molecule of one or more dissymmetric centres ,in the simplest case asymmetric carbon atoms ,each of which can have and absolute configuration; and ,or ,to the presence of double blonds which can give cis- and trans-geometrical isomers .

构型异构是由于分子中存在一个或一个以上的不对称中心,在最简单的情况下是不对称碳原子,每个不对称碳原子的绝对构型是和;或者,如果存在双键的话,那么将给出顺式和反式几何异构体。

The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix,and its diagonalization.

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题。

Selfconjugate matrix, skewselfconjugate matrix, perselfconjugate matrix, skewperselfconjugate matrix, centrosymmetric matrix, skewcentrosymmetric matrix, bisymmetric matrix, and skewbisymmetric matrix over a ring with an involutorial antiautomorphism are defined. Significant criteria for matrices to be bisymmetric and skewbisymmetric are obtained.

在具有对合反自同构的环上定义了自共轭矩阵,斜自共轭矩阵,广自共轭矩阵,斜广自共轭矩阵,中心对称矩阵,斜中心对称矩阵,双对称矩阵和斜双对称矩阵,建立了双对称矩阵和斜双对称矩阵的重要判定定理。

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵,反符号对称矩阵以及弱符号对称矩阵,在相关文献中对这类矩阵谱特征的已经有了一些结论,本文在前人研究的基础上将相关结论做了进一步的推广,得出了有关这类符号对称矩阵谱特征的更一般性的结论。

This paper gives the concept and some properties of partition symmetric anti-circulate matrix, and the sufficient and necessary condition is discussed.

给出了分块对称反循环矩阵的概念,讨论了分块对称反循环矩阵的性质,给出了分块对称反循环矩阵的若干充分必要条件。

The concepts in References 1 and 2 are broadened and the properties of the centrosymmetric and skew centrosymmetric matrices are exploited in detail.

推广了文[1,2]的概念,系统地叙述了中心对称和反中心对称矩阵的性质,导出了一类求解系数矩阵为中心对称和反中心对称线性方程组及超定方程组的缩减算法。

Based upon the results of experiment and calculation of several representative unsymmetric composite laminates , the coupling characteristics of unsymmetric laminate was studied.

为了解决机翼的扭转发散、载荷重新分布及操纵反效和操纵效率等问题,基于非对称复合材料的各向异性及相对于普通复合材料更好的可设计性,以几种典型非对称复合材料层板的试验及计算为基础研究了非对称层合板的各种耦合特性,并进行了非对称复合材料机翼的设计,得到了满意的结果。

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推荐网络例句

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。

Do not 'inflate' your achievements and/or qualifications or skills .

不要 '夸大' 你的业绩或成果,条件或者技能。