查询词典 augmented matrices

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。

It has been shown that any 3×3 ABCDEF augmented matrix,which describes a misalighed optical system,can be represented by an ordered product of basic matrices of , and types.

Casperson[1] 首先研究了描述轴对称光学系统 2× 2矩阵的分解及系统的合成问题。对于实际光学系统，例如谐振腔，由于安装和调整误差、光学系统工作时外界环境产生的微扰、变形而产生失调。

In this work, the interaction between umbelliferone and bovine serum albumin was studied by performing two different kinds of titration modes. The two spectroscopic data matrices were augmented, and then the information of experiment data was increased. The augmented experiment data matrix was analyzed by the MCR-ALS method. This procedure allowed the recovery of the concentration profiles for each species and the calculation of the ∶ ratio in the complex and the apparent equilibrium constant.

采用两种不同的试剂滴加模式对伞形花内酯与BSA的相互作用进行研究，对经典的荧光光谱数据矩阵加以扩展，增加了实验数据的信息量；进而应用MCR-ALS对该扩展的荧光光谱矩阵进行迭代计算，较好地分辨出作用过程中浓度变化趋势图，并计算出伞形花内酯与BSA的表观结合常数和结合比。

Considering the numerically more stable properties of Normal Equation with Constraints and Hachtel's augmented matrix method for SE, all telemetered and virtual measurements are classified reasonably. Using blocked and sparse matrices technology, a new SE algorithm with computing speediness and numerical stability is proposed.

借鉴WLS估计中带等式约束的正规方程法和Hachtel法数值稳定性更强的优点，将遥测量和虚拟量测合理分类，并采用分块和稀疏矩阵技术形成了一种计算速度快、数值稳定性好的状态估计改进算法。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。