基本解释：代数等价
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Two different equivalence relations on the set of n-potent orthogonal matrices are obtained by the definitions of orthogonality and algebraic equivalence about n-potent matrices.由n次幂等矩阵正交与代数等价的定义,得到了n次幂等正交矩阵集中2种不同形式的等价关系。
We prove algebraic equivalence and similarity are equivalence relations on Pkn(R)= {P | Pn = P ∈ M k(R)} for all k≥ 1 and show that algebraic equivalence is necessary but not sufficient for similarity.本文证明了n次幂等矩阵集Pkn(R)={P|Pn=P∈M k(R)}上的代数等价与相似都是其中的等价关系,并阐明代数等价是相似的必要非充分条件。
Devotes to consider three new types of equivalence relation of projective operators: algebraic equivalence,similarity and homotopy.引入了投影算子的三种等价关系:代数等价、相似和同伦,并讨论了它们之间的强弱关系以及在Hilbert空间上这三种关系的一些新结论,说明了在有限维的Banach空间和H。
A primal-dual interior point algorithm based on algebraically equivalent path for linearly constrained convex programming problem which satisfies scaled Lipschitz condition is presented;and its computational complexity is discussed.对于满足尺度李谱希茨条件的一类线性约束凸规划问题,提出了一种基于代数等价路径的原始-对偶内点算法,并讨论了计算复杂性。
A path-following algorithm for solving linear complementarity problems based on algebraically equivalent transformation;基于代数等价变换的线性互补问题内点算法
The equivalence matrices algebra is extend to describe the low approximation,the upper approximation,rule extraction,relative core and relative reduction.对等价矩阵代数进行了扩充,使它能够实现决策表的上下近似集、规则提取、相对约简、相对核等操作。
This paper applying the Algebra Equivalent Observer(AEO)of the theory results to direct the design of Increment Function Observer and parameter tuning of state feedback control system.本文运用代数等价观测器的理论指导增量式观测器的设计以及状态反馈控制系统的参数整定,将所设计的状态反馈+PID控制系统,应用于300MW单元机组的锅炉再热汽温度控制系统中,当负荷以8MW/min的速率升降50MW时,再热器蒸汽温度的最大偏差被控制在±5℃,这一实例表明代数等价观测器和增量式观测器理论在热控领域的工程应用是非常成功的。
