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1.
环上矩阵的加权广义逆   总被引:3,自引:0,他引:3       下载免费PDF全文
该文从另一方面给出了 Hartwig R E[27]提出的公开问题的解答. 设R是带有对合*的任意环, 作者定义了环R上的一种新的加权广义逆, 记为A+P, Q, 并给出了A+P, Q存在的充要条件. 同时, 得到了一些重要的性质.  相似文献
2.
Particle swarm optimization (PSO) is originally developed as an unconstrained optimization technique, therefore lacks an explicit mechanism for handling constraints. When solving constrained optimization problems (COPs) with PSO, the existing research mainly focuses on how to handle constraints, and the impact of constraints on the inherent search mechanism of PSO has been scarcely explored. Motivated by this fact, in this paper we mainly investigate how to utilize the impact of constraints (or the knowledge about the feasible region) to improve the optimization ability of the particles. Based on these investigations, we present a modified PSO, called self-adaptive velocity particle swarm optimization (SAVPSO), for solving COPs. To handle constraints, in SAVPSO we adopt our recently proposed dynamic-objective constraint-handling method (DOCHM), which is essentially a constituent part of the inherent search mechanism of the integrated SAVPSO, i.e., DOCHM + SAVPSO. The performance of the integrated SAVPSO is tested on a well-known benchmark suite and the experimental results show that appropriately utilizing the knowledge about the feasible region can substantially improve the performance of the underlying algorithm in solving COPs.  相似文献
3.
曲线搜索的有关理论与数值方法   总被引:1,自引:0,他引:1       下载免费PDF全文
统一表达了无约束优化问题下降曲线的常微分方程组.证明了两个常见的方程组实质上是参数不同的同一曲线.指出并证明了一种方程组是有利于数值计算的.本文还提出了两个算法一基于积分的搜索法和附加插值法.研究表明曲线寻优与累积迭代信息的策略可以提高优化算法的效率和稳定性.借助于对偶规划本方法对约束优化问题也获得了效率.  相似文献
4.
省域低碳经济发展分类及评价研究   总被引:1,自引:0,他引:1  
在构建区域低碳经济评价指标体系的基础上,在省区低碳经济分类评价中,运用多元统计方法中的聚类分析和系统工程学中的密切值法,结合2011年中国统计年鉴的统计数据对相关指标的数据样本进行了聚类分析,将低碳经济发展相类似的地区划成群体,再用密切值法对聚类所得的群体进行排序,从而评价出各地区的低碳经济发展水平.  相似文献
5.
BCI代数的软关联理想和软正定关联理想   总被引:1,自引:0,他引:1  
给出BCI代数的软关联理想和软正定关联理想的概念,讨论软理想、软关联理想和软正定关联理想三者之间的关系,研究了两个软关联理想(软正定关联理想)的扩展交、限制交、限制并和限制差分的性质。  相似文献
6.
Observer-based finite-time control of time-delayed jump systems   总被引:1,自引:0,他引:1  
This paper provides the observer-based finite-time control problem of time-delayed Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. The observer-based finite-time H controller via state feedback is proposed to guarantee the stochastic finite-time boundedness and stochastic finite-time stabilization of the resulting closed-loop system for all admissible disturbances and unknown time-delays. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic robust control performance of time-delay jump systems are derived. The control criterion is formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The presented results are extended to time-varying delayed MJSs. Simulation results illustrate the effectiveness of the developed approaches.  相似文献
7.
In this paper, the existence and multiplicity results of solutions are obtained for the discrete nonlinear two point boundary value problem (BVP) ; u(0)=0=Δu(T), where T is a positive integer, Z(1,T)={1,2,…,T}, Δ is the forward difference operator defined by Δu(k)=u(k+1)-u(k) and f:Z(1,TRR is continuous, λR+ is a parameter. By using the critical point theory and Morse theory, we obtain that the above (BVP) has solutions for λ being in some different intervals.  相似文献
8.
Existence results for a nonlinear system with a parameter   总被引:1,自引:0,他引:1  
In this paper, the monotone operator principle, the critical point theory and the morse theory are employed to discuss the system of nonlinear equations of the form Au=λf(u), some existence results are obtained.  相似文献
9.
广义同步化流形的Holder连续性   总被引:1,自引:0,他引:1  
张荣  徐振源 《系统科学与数学》2008,28(12):1509-1524
证明了两个不同的混沌系统线性耦合时能实现广义同步化,在一定条件下广义同步化流形是Holder连续的.采用的思想是Temam的无穷维动力系统的惯性流形理论的改进.在线性耦合下两个混沌系统具有吸收集和吸引子的基础上,通过定义在一个函数类上的映射满足Schauder不动点定理,从而得到广义同步化流形,该广义同步化流形具有不变性.又证明了存在分数维的指数吸引子,指数吸引子与广义同步流形的交集具有指数吸引性.数值仿真证实了理论的正确性.在驱动系统和响应系统外引入辅助系统,辅助系统与响应系统的完全同步化表明了驱动系统和响应系统的广义同步化.  相似文献
10.
SupposeKis the intersection of a finite number of closed half-spaces {Ki} in a Hilbert spaceX, andxX\K. Dykstra's cyclic projections algorithm is a known method to determine an approximate solution of the best approximation ofxfromK, which is denoted byPK(x). Dykstra's algorithm reduces the problem to an iterative scheme which involves computing the best approximation from the individualKi. It is known that the sequence {xj} generated by Dykstra's method converges to the best approximationPK(x). But since it is difficult to find the definite value of an upper bound of the error ‖xjPK(x)‖, the applicability of the algorithm is restrictive. This paper introduces a new method, called thesuccessive approximate algorithm, by which one can generate a finite sequencex0x1, …, xkwithxk=PK(x). In addition, the error ‖xjPK(x)‖ is monotone decreasing and has a definite upper bound easily to be determined. So the new algorithm is very applicable in practice.  相似文献
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