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Neumann, Successive overrelaxation methods for solving the rank deficient linear least squares problem, Linear Algebra Appl.

Miller and Neumann 提出SOR方法解决秩亏损线性最小二乘问题。

We introduce an optimal degree α in the objective function and a satisfactory degree β in the constraint conditions for interval number linear programming problem to transform them into parametric linear programming problem with real coefficients.

通过引入区间数线性规划问题中的目标函数优化水平α和约束水平β将目标函数和约束条件均为区间数的线性规划问题转化为确定型的线性规划问题。

At present, the basic idea of exact approaches to solve the fuzzy linear programming problems is: firstly, they are transformed into parametric programming problems, then an unique exact optimal solution with highest membership degree can be achieved via the simplex method for the crisp linear programming.

目前已有的一些求解模糊线性规划问题一般为精确解法，它的基本思想是：将模糊线性规划问题通过对隶属函数的转换化为精确的参数规划问题，然后利用单纯形方法求解出唯一的极大化隶属函数的最优解。

The paper proposed a new method for the linear programming problem with interval numbers in the objective function and constraint conditions simultaneously.By p roposing the concept of constraint satisfactory degree,the problem is transform e d into parametric linear programming problems with real coefficients.

文摘：针对目标函数和约束条件均为区间数的线性规划问题，提出了一种基于模糊约束满意度的求解方法，把区间数线性规划问题转化为确定型的一般参数规划问题来求解。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

Using PH linearization ,the nonlinear partial differential equation was transformed into linear partial differential equation,and then,by introducing a complex function,it was further transformed into a set of two linear differential equations.

应用 PH线性化方法，将非线性偏微分方程转化为线性偏微分方程，引入复函数将复常数偏微分方程变为两个线性实常数微分方程组，并采用小参数迭代法进行求解，近似求得了螺旋槽内气体动压分布的解析解。

An approach to controlling chaos with linear-quadratic regulator is proposed according to the idea of OGY method, which is based on the linear analysis and control of the dynamics of the system in a Poincare section with parameter perturbation.

从OGY方法的参数微扰混沌控制思想出发，提出了基于线性二次型最优调节器的混沌控制方法。

The value of the Wiener Index for a class of linear phenylene molecular graph is calculated, and the linear recursive formulas is obtained, and then the exact expressions are gained by solving some difference equations of the recursions.

文章给出了一类一般线性聚亚苯基图hQ的Wiener拓扑指标的线性递推公式，通过求解差分方程而得到了它的Wiener拓扑指标的精确表达式。

A value of the Wiener index for a class of linear phenylene molecular graphhM is calculated, and a linear recursive formulas is obtained, and then a exact expressions is gained by solving some difference equations of the recursions.

给出了一类一般线性聚亚苯基图hM的Wiener拓扑指标的递推公式，通过求解差分方程而得到了它的Wiener拓扑指标的精确表达式。

A linear velocity of the transfer belt is set to be faster than linear velocity of an outer circumferential surface of the photosensitive medium contacting the transfer belt.

转印带的线速度快于同该转印带接触的感光介质的外周面的线速度。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。