augmented matrices

augmented matrices的基本解释

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[化] 增广矩阵

与augmented matrices相关的网络例句 [注：此内容来源于网络，仅供参考]

Thesis and mainly discuss the following problems:What we mainly discussed in the second chapter as follows:(1) S1,S2 are sets of symmetric orth-symmetric matrices;(2) S1,S2 are sets of bisymmetric matrices;(3) S1,S2 are sets of anti-symmetric orth-anti-symmetric matrices;(4) S1,S2 are sets of bi-anti-symmetric matrices;(5) S1 is the set of symmetric orth-symmetric matrices, S2 is the set of anti-symmetric orth-anti-symmetric matrices;(6) S1 is the set of bisymmetric matrices, S2 is the set of bi-anti-symmetric matrices;(7) S1 is the set of anti-symmetric orth-anti-symmetric matrices, S2 is the set of symmetric orth-symmetric matrices;(8) S1 is the set of bi-anti-symmetric matrices, S2 is the set of bisymmetricmatrices;On the base of studying the basic properties of the matrices, the expression of solutions and some numerical examples are presented.

本文第二章将主要就上述问题讨论如下几种情况： 1.S_1，S_2为对称正交对称矩阵； 2.S_1，S_2为双对称矩阵； 3.S_1，S_2为反对称正交反对称矩阵； 4.S_1，S_2为双反对称矩阵； 5.S_1为对称正交对称矩阵，S_2为反对称正交反对称矩阵； 6.S_1为双对称矩阵，S_2为双反对称矩阵； 7.S_1为反对称正交反对称矩阵，S_2为对称正交对称矩阵； 8.S_1为双反对称矩阵，S_2为双对称矩阵。

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。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

与augmented matrices相关的网络解释 [注：此内容来源于网络，仅供参考]

augmented complex：增广复形

增广乘子法|augmented multiplier method | 增广复形|augmented complex | 增广矩阵|augmented matrix

augmented matrix：扩充矩阵

扩充码 augmented code | 扩充矩阵, augmented matrix | 扩充操作码 augmented operation code

augmented triad：增三以及弦

augmented sixth chord 增六以及弦 | augmented triad 增三以及弦 | augmented 增(音程)