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The theory of self-concordant barriers developed by Nesterov and Nemirovski provides an algorithm with polynomial complexity applicable to linear and convex optimization problem.

由Nesterov和Nemirovskit创立的self-concordant障碍函数理论为解线性和凸优化问题提供了多项式时间内点算法。

Based on the proposed performance criterion, a sufficient condition for the existence of gain-scheduled H2/H(subscript ∞) filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality constraints.

基于该性能准则，推导了变增益H2/H滤波器存在的充分条件，并将滤波器设计问题转化为具有线性矩阵不等式约束的凸优化问题。

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性，利用矩阵的Schur补性质，将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

Finally, for the following studies and in order to study the nonlinear problems in a widespread space, the relationship between the convexity and the smoothness is studied in the locally convex space.

最后，为了今后在更广泛的空间中研究非线性问题，我们讨论了局部凸空间中凸性与光滑性之间的关系。

Duality invariants theories are the core of functional analysis space theories, especially the core of locally convex space theories.

对偶不变性理论是泛函分析空间理论特别是局部凸空间理论的核心内容。

And then,let E be a locally convex space and 〓 be the space of all sequentially continuous linearfunctional defined on E.

其次，设E是一个局部凸空间，〓是E上序列连续的线性泛函全体。

The generalization in locally convex space, restricted p-centers, of restricted Chebyshev centers of a set in normed linear spaces has been studied for only about a little bit more than ten years.

一。赋范空间中集的限制Chebyshev中心在局部凸空间中的推广—限制p-中心—问题的研究只有十余年的历史。

It proves that if E is a locally convex 〓-space,then 〓 isalso an 〓-space for any topology on 〓 admissible with respect to 〓.

若E是一个局部凸〓空间，那么证明了〓关于对偶对〓的所有可允许极拓扑都是〓空间。

This paper studies a completely generalized nonlinear quasi-variation-like inclusions problem in the setting of locally convex topological vector space s and proves the existence its solutions.

似变分不等式和广义拟似变分包含问题是研究非凸最优化问题、非凸和不可微最优化问题的重要工具。在局部凸的拓扑向量空间中研究了完全广义非线性拟似变分包含问题，并证明了其解的存在性

The mathemationcal formulation is based on a locally convex topological space for arbitrage freeness,approximate arbitrage freeness and no free lunc hes.

本文研究具有摩擦的证券市场中资产定价，即在局部凸拓扑空间中弱与强无套利、弱与强近似无套利及弱与强没有免费午餐。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。