查询词典 Jordan algebra

We prove that every linear map preserving zero Jordan triple product and unit from nest subalgebras of factor yon Neumann algebras to Banach algebra with unit is a Jordan isomorphisms.

接着我们对至少有一个非平凡可比较元的CSL代数上的双向保零积线性映射进行了研究，得到此映射为同构。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

Symmetric cone complementarity problem; Euclidean Jordan algebra; C-function; Merit function; Hybrid Newton method; Regularized-smoothing method

对称锥互补问题；欧几里得若当代数；互补函数；价值函数；混合牛顿算法；正则光滑化牛顿算法

Meanwhile, the relationship between the trace scalar solution set and the Bo properly K—efficient solution set of the Euclidean Jordan algebra vector optimization problem is es- tablished.

同时，还建立了特殊谱标量解集——迹谱标量解集与Bo恰当K-有效解集的包含关系。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了