查询词典 positive definite

The PSD-PCG algorithm is effective to sovle ill-conditioned linear system of equations whose coefficient matrix is symmetric and positive definite and sparse.

本章提出的PSD—PCG法是解对称正定的稀疏病态线性方程组的有效算法。

By redefining multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse the method dedicated to equality constraints for constructing Lagrange neural networks.

若重新定义与不等式约束相关的乘子为正定函数，则在构造Lagrange神经网络时，可直接使用处理等式约束的方法处理不等式约束，不需再用松驰变量将不等式约束转换为等式约束，减小了网络实现的复杂程度。

By using the matrix positive definite decomposition, matrix singular value decomposition generalized inverse theorem, and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.

通过利用矩阵正定分解，矩阵的奇异值分解，解线性矩阵不等式和广义逆定理，根据一些自由参数所希望设计的观测器然后被导出。

This paper investigates alternating iterative method and generalized alternating method for the solution of a large linear system, extend the convergence theorem and comparison theorem for generalized or alternating iterative method when the coefficient are Hermitian positive definite systems.

本文主要研究了大型线性方程组的交替迭代法及迭代法的各种变形，给出了当系数矩阵为Hermitian正定矩阵时各类迭代法的收敛原理及其相应的比较理论。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证；共轭梯度法具有超线性收敛性，但是系数矩阵必须是正定矩阵；Krvlov子空间法可用于非对称矩阵问题，但可能出现崩溃现象。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

This condition only requires finding a common positive definite matrix in each maximal overlapped-rule group.

在此基础上，提出了一个新的判定系统稳定性的充分条件，该条件仅需在每个最大交叠规则组中分别寻找各自公共的正定矩阵。

This condition only requires finding a common positive-definite matrix in each maximal overlapped-rule group. It can reduce the difficulty of former stability analysis approaches.

该条件只需在各最大交叠规则组内分别寻找公共的正定矩阵，减小了以往稳定性判定方法的局限性和难度。

The physical meaning of the dynamical equilibrium relationships, velocity space-time distribution and energy propagation involved in the energy matrices can be described by the positive definite quadratic form of the energy matrices.

能量矩阵蕴含的动态力的平衡关系、速度的时间_空间分布和能量的传播及变化的物理意义，能够从能量矩阵的正定二次型特性表述出来。

The relation between the output phase differences and the losses of 2×2 and 3×3 optical fiber couplers with rotatory symmetry is deduced in this study, which is based on the characteristics of scattering matrix and Hermite positive definite quadratic form of the couplers.

前 言光纤耦合器用于诸如光纤干涉系统、光纤环、波分复用器件和光纤通信中的分集接收等场合时，除了要求适当的输出功率比以外，尚需考虑输出端光场间的相位关系［1～3］。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。