This paper points out that if a sequence of Jacobian approximation satisfies the bounded deterioration, the sequence generated from the quasi& Newton methods is no better than linear convergence.

1、

For a nonlinear system of ordinary differential equations, we construct an iterative sequence and prove that the sequence is bounded. Using the sequence, the approximate solution is obtained.

对于非线性微分方程组，构造了一个迭代序列，证明了迭代序列是有界的，利用迭代序列构造近似解的表达形式。

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2、

The ∧-bounded variation functions on sequence spaces

叙列空间上的∧&有界变差函数

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The bounded variation sequence is applied broadly.

囿变数列又称为有界变差数列，在函数论中有广泛的应用。

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4、

Notes on the Bounded Variation Sequence and Its Characteristic

关于囿变数列及其特征的若干注记

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Based on the view that the theorem of closed mested interval is an axiom, this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem, and proves the general theorem of bull closed nested interval of real number.

以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理。

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6、

Bounded Property of Infinite Matrix Transformation Set about Echelon Space

关于Echelon空间无穷矩阵变换集的有界性

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The existence conditions and definition region of a grey inverse matrix are studied. Additionally, the new concept of grey rank of a bounded grey matrix and its algorithm are proposed and the criteria for constant-full-rank, constant-non-full-rank, conditional-full-rank of a bounded grey matrix are given.

此外，本文又提出有界灰矩阵的灰秩的新概念与算法，建立了有界灰矩阵恒满秩、恒不满秩、条件满秩的判据。

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8、

The nonsingularity and rank of a bounded grey matrix

有界灰矩阵的非奇异性与秩

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Research on the Stability of Bounded Grey Matrix

有界灰阵稳定性的研究

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10、

Based on the Lyapunov stable theory, a linear state feedback controller is presented to guarantee the asymptotic stability and achieve the bounded state variable for any bounded disturbance.

基于Lyapunov稳定性理论，设计了一个线性状态反馈控制器，该控制器对于任何给定的有界干扰，都能保证系统渐近稳定并获得有界的状态变量。

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11、

The optimal inputs are given by the state feedback with the bounded variable gains.

最优输入由有界可变增益的状态反馈得到。

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12、

Gravity and magnetic anomaly inversion by bounded variable linear programming

重磁异常有界变量线性规划反演

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Based on the discrete state equation of the system, the bounded variable simplex method of linear programming ( LP) is first applied to find the control sequences which meet the control constrains, then the cutting plane method is used to deal with state constraints.

在离散数学模型的基础上，首先应用求解线性规划问题的有界变量单纯形方法求出满足控制约束的控制序列，然后再利用割平面方法处理状态约束，以求得满足约束条件的最优控制。

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14、

Some properties of the variation function and the bounded variation function of order 2

关于二级变差函数与二级囿变函数的若干性质

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Property of Approximation of Abstract Two Level Bounded Variation Functions

抽象二级囿变函数的逼近性质

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The Relation Between Total Bounded Variation and Image Definition Detection

总有界变差与图像清晰度之间的关系

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Three Stage Functions of Bounded Variation in Sequence Space λ and Their Characteristics

序列空间λ-三级有界变差函数及其特征

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A property of bounded variation function with its application

有界变差函数的一个性质及应用

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19、

Topological Structure On Functions Spaces of Generalized Bounded Variation

广义有界变差函数空间上的拓扑结构

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Functions of Generalized Bounded Variation and Its Applications to Fourier Series Theory

广义有界变差函数及其对Fourier级数的应用

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