运用多项式稳定性充分判据，将线性系统的同时镇定问题转化成非线性不等式组的求解。
In this paper, the simultaneous stabilization problem of linear systems is transformed into solving problems of a set of nonlinear inequalities by using a sufficient criterion of polynomial stability.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
以周期非线性光学介质中隙孤子存在的条件为依据，数学计算分析得到两组参量关系不等式。
Based on the conditions of the gap soliton in periodical nonlinear optical medium, two inequalities for relation of parameters are obtained.
本文主要讨论求解非线性方程组问题与变分不等式问题的迭代算法。全文共分三章。
This thesis includes three chapters, which mainly discusses the iterative algorithms for solving nonlinear equations problems and nonlinear variational inequality problems.
讨论了一类非线性等式与不等式组的相容性，给出了其相容的充要条件。
The compatibility of a class of nonlinear equality and inequality systems is discussed. The necessary and sufficient conditions of the compatibility are given.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
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