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。
Then the laughter burst out afresh.
這時候，那
陣狂笑又重新爆發
出來。
The audience exploded with laughter again.
人群中又爆發
出一
陣笑聲。
Now appeared joe harper, as airily clad and elaborately armed as tom
這時，喬哈帕
出現了。和湯姆一樣，他精心裝備，輕裝上
陣。
Introducing a class of generalized fibonacci sequences with double variables, we establish the relation with aitken, secant, new - raphson, halley transformation etc., generalize the results of many authors. furthermore, we give a more general generalization of q - matrix
通過引入一類雙變量的廣義fibonacci序列，建立了其與aitken 、 secant 、 newton - raphson 、 halley等變換的關系，進而給
出了q -矩
陣的一個更廣泛的推廣。
And then, metal structure with aspect ratio 30 was obtained in our laboratory. eventually, a few micro parts with high aspect ratio were fabricated by liga process under the optimum condition. there were key parts of micro thruster, netlike nickel antielectron modulator, micro copper radiator, stainless steel micro components and many filter mediums with different shapes and dimensions
最後，我們利用liga技術加工的獨特優點，以發展其高深寬比技術的實際應用，先後製作了狹縫
陣列鎳結構微推進器關鍵部件、薄壁網狀多孔鎳結構正電子慢化體、微型銅結構換熱氣和多種材料不同、尺寸各異的過濾介質，還結合利用liga技術和微細電火花技術的加工優點，製作
出了不銹鋼微結構
The problem of calculating the core attributes of a dicision table is studied, a new discernibility matrix and the computation of core is put forward in this paper, and correctness of this method is proved. this method is the same with consistent and antipathic dicision tables
論文對目前求核方法存在的問題進行了分析，提
出了一種新的可區分矩
陣與求核方法，並證明了方法的正確性，該方法適用於任何決策表（相容的或不相容的） 。
The performance won a salvo of applause.
演
出博得一
陣喝彩。
Soccer - premier league happy to go to arbitration over tevez
辛曉琪
出輯3千萬
陣仗
Secondly the bss theories are introduced detailedly, including bss model, assumptive conditions, and so on. 2 、 several classical subarray architectures are discussed. the characteristics of these subarray architectures are lucubrate
2 、深入討論了幾種典型的子
陣結構，並分析了各子
陣結構的優缺點，提
出了子
陣劃分的依據。
A mist of perfume issued from the atomizer
一
陣香水的輕霧從霧化器中噴射
出來。
A chorus of boos rang out from the audience.
聽眾發
出一
陣噓聲。
The dynamic models of the sonar array are predigested logically, the concise and banausic models are given
對獵雷聲納基
陣的動力學模型進行簡化研究，給
出了簡化后簡潔、實用的數學模型。
The former celtic prodigy made 22 appearances in his time at old trafford, scoring in the carling cup against crewe and barnet
這位前凱爾特人天才為曼聯
出場22次，在聯賽杯對
陣克魯和巴尼特時均有進球。
But so far was she from being, in the words of robert south, in love with her own ruin, that the illusion was transient as lightning ; cold reason came back to mock her spasmodic weakness ; the ghastliness of her momentary pride would convict her, and recall her to reserved listlessness again
不過同羅伯特騷斯說的「同她自己的毀滅戀愛」這句話比起來，她還相差得很遠，因此她的幻想也只是像一道閃電，一閃就消失了冷靜的理智恢復了，嘲笑她一
陣陣出現的弱點在她暫時
出現的驕傲里，有一種可怕的東西譴責了她，於是她又變得沒精打采起來。
A method is proposed to construct a localized active functional space from the density matrix of a large system. the large system is partitioned into central and surrounding areas. the active functional space is mainly localized on the central area. it contains all basis functions centered at the central area and all the orbitals which consist of the basis functions localized in the surrounding area and interact with the basis functions in the central area to a certain extent. an integral number of electrons are involved in the localized active functional space which can be considered as a relatively independent subsystem in the large system and for which formally isolated quantum chemical calculations can be performed. the related program has been coded and is checked through calculating the number of 4
報道了從大體系的密度矩
陣出發構造定域于指定局部的活性泛函空間的方法和程序。將大體系劃分為中心區和環境區，活性泛函空間包含中心區的基函數及與其有相互作用的環境區軌道，容納整數個電子，構成大體系的一個相對獨立的子體系，可以在其中進行獨立的量子化學計算。通過計算鑭系氯化物和水合離子的4
Based the measured flexibility, the identification model of the partial eigenstructure assignment was presented. the linear algorithm, the pseudolinear algorithm and the fully nonlinear algorithm were established, and the comparative studies were carried on the above algorithms. the fully nonlinear algorithm was determined to solve the identification problem based on the measured flexibility
從觀測柔度
陣出發，提
出了結構識別的部分特徵結構分配識別模型，建立了識別問題的線性化、擬線性化和完全非線性演算法，並通過對三種演算法的對比研究，確定了用於結構損傷識別的完全非線性識別演算法。
According to the generator matrix of a linear code, automorphism group is studied
摘要從線性碼的生成矩
陣出發，研究線性碼的自同構群。
We give a constraint for conic correspondence only from fundamental matrix, and then we design an aigorithm for conic correspondence based on the constraint
我們僅從基本矩陣出發，給出了二次曲線匹配的約束，並設計出匹配演算法，該演算法是線性的。
