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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。

The affix issue is a hotspot discussed in the field of Chinese morphology in recent years.

词缀问题是近年来汉语词法界讨论的一个热点。

To examine them in this book would take us too far afield .

在这本书里去讨论它们会使我们太离题了。

Let's discuss some of the aforementioned ideas.

我们先来讨论一下前面提及的一些观点。

Come and see me in my office after class, and we'll talk over your problems.

课后到我的办公室来,我们一起讨论你的问题。

I stumbled onto this product by accident a year ago and began using it as an aftershave lotion because it felt soft and smooth and the women commented on the light fragrance.

我是一年前偶然用到这个产品的,我开始把它用过剃后乳因为它让我感觉柔软光滑,女士们都讨论它的轻香。

Based on the data, the changing characteristics of parameters and their capability for classification of aftershock sequences have been discussed.

在此基础上对序列参数的变化特征及其序列分类能力进行讨论

A I am pleased to meet u once again to discuss the AG's development.

很高兴再次和大家开会,讨论 AG 公司的发展问题。

Wang: In the seventh chapter of the Agama Sutra, a Confucian and a Buddhist are discussing the issue of life and death.

王:在《阿含经》里的第七卷有一个《弊宿经》,《弊宿经》就是儒家和一个佛教徒在讨论生死问题。

Discuss why agape love is a more excellent way.

讨论为什么神的爱是更大的恩赐。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力