Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones

In this paper, we will prove that the random version of Fan's Theorem [6, Theorem 2] is true for a random hemicompact 1-set-contractive map defined on a closed ball, a sphere and an annulus in cones. This class of random 1-set-contractive map includes random condensing maps, random continuous semicontractive maps, random LANE maps, random nonexpansive maps and others. As applications of our theorems, some random fixed point theorems of non-self-maps are proved under various well-known boundary conditions. Our results are generalizations, improvements or stochastic versions of the recent results obtained by many authors     

Constrained optimization of the randomized iterative method

Selection of conditionally optimal parameters of the randomized iterative method for solving large-scale linear systems of equations is considered. The error of this method is analyzed by analogy with the functional Monte Carlo algorithms. For the simple iteration method, the “column” randomization of the matrix is thoroughly analyzed.     

基于机场货运预测的GM(1,1)建模过程问题分析

运用灰色系统GM(1,1)模型进行预测时,模拟精度和预测精度是关注的焦点.对原始数据构造缓冲算子和进行完整的前期检验,运用等维灰数递补的动态建模方法,针对误差建立残差修正模型,都可以提高预测的可信度.通过归纳建模各阶段可能出现的典型问题以及解决方法,以期对建立优化模型有所帮助.最后建立GM(1,1)模型预测天津滨海机场货邮吞吐量.     

一种基于空间一致性降元的高光谱图像非监督分类

为了提高分类精度和边缘辨识性,该文引入图像空间一致性降元(pixels reduction with spatial coherence property, PRSCP)及线性回归分析,提出了一种基于空间一致性降元的非监督分类。该方法从像元光谱相似性出发,利用像元最小关联窗口合并相邻相似像元为像块完成降元。使用线性关系建模像块内像元的光谱向量,并利用F检验判断像块数据的线性显著性。利用一元线性回归(one dimensional linear regression, ODLR)估计出像块的基准向量,根据基准向量合并相似(同类)像块完成分类。利用AVIRIS数据评估了该方法性能,实验结果表明：与K-MEANS和ISODATA方法相比,该方法精度高、边缘辨识度好及鲁棒性强。     

Nonmonotone Inexact Newton Method for the Extended Linear Complementarity Problem

This paper presents a nonmonotone inexact Newton-type method for the extended linear complementarity problem (ELCP). We first reformulate the optimization system of the ELCP problem into a system of smoothed equations. Then we solve this system by a nonmonotone inexact Newton-type algorithm. The global convergence is obtained and numerical tests for some classes of ELCP include linear complementarity, horizontal linear complementarity, and generalized linear complementarity problems are also given to show the e?ciency of the proposed algorithm.     

线性模型中相依误差下回归系数最小二乘估计的相合性

本文研究了线性模型y_i=X_i’β+e_i,i=1,2,…中回归系数β=(β_1,…,β_n)’的最小二乘估计的相合性.文章前一部分考虑了随机误差序列{e_i}相依情况下的(?)的γ-阶平均相合性,改进了胡舒合在[1]中的有关结果.文章后一部分推广陈希孺在[2]中的(?)的强相合性于相依情形.     

环境因子对东湖几种沉水植物生理的影响研究

报道了光照强度、水体温度及水体ｐＨ值对东湖５种沉水植物生理的影响．实验结果表明，在一定温度范围内，５种植物的光补偿点均随温度的升高而上升，且种间有较大的差异．各植物光合色素的含量，受生态因子的影响，表现出一定的适应性．５种植物对水体高ｐＨ值耐受能力有明显的差异．探讨了富营养化湖泊沉水植物消亡的原因及生态分布的规律，提出了富营养化湖泊水生植被的恢复及水生生态系统重建中的植物选种原则．