一种同时求解多项式重根的迭代方法及其收敛性

本文给出一种三阶收敛的同时求解多项式重根的迭代方法,并分析该分法收敛的初始值条件,我们也给出算例。     

Molecular evidence for increased hematopoietic proliferation in the spleen of the b/b laboratory rat

The splenomegaly and the appearance of a significant number of CFU-E (erythroid colony-forming units) and BFU-E¹ (erythroid burst-forming units) in the Belgrade laboratory rat (b/b) spleen prompted us to analyse further the molecular evidence for increased hematopoietic proliferation in the b/b spleen. Messenger RNAs (mRNAs) specific for globins, proteins for iron transport and deposition and the band 3 protein were used in rat erythropoietic tissues as markers for proliferation and erythroid differentiation. In the b/b spleen, all mRNAs analysed display an erythroid-specific pattern of expression. This analysis also revealed an enhanced level of mRNA for ferritin in the +/b spleen, whereas erythrocyte-specific mRNA production was normal.     

Almost sure convergence of weighted sums of NA sequences

For double arrays of constants {a _ni, 1≤i≤k _n, n≥1} and NA r.v. 's {X _n, n≥1}, conditions for almost sure convergence of are given. Both casesk _n ↑ ∞ andk _n=∞ are treated. A Marcinkiewicz-type theorem for i. d. NA sequences is obtained as a special case. Supported by the National Natural Science Foundation of China Cheng Riyan: born in 1968, MS student     

Cyclophosphamide-impaired regulation of hepatic heme metabolism

Summary Im male rats hepatic cytochromes b₅ and P-450 were reduced at different times after treatment with cyclophosphamide (CP) (200 mg/kg i.p. for 3 days). In contrast, microsomal heme did not change until 48 h after the last dose of CP, leading to accumulation of heme in a non-cytochromal form. Parallel to the above changes the heme metabolism showed derangement: -aminolaevulinate synthase, the rate-limiting enzyme in heme synthesis, was depressed and heme oxygenase, the enzyme which catalyzes the oxidative degradation of heme, was increased.     

一种新的求解变分不等式问题的外梯度投影算法

给出了一种新的求解变分不等式问题的外梯度投影算法．在较弱的条件下证明了算法的全局收敛性，并分析了算法的线性收敛速度。     

三种初值选取方法对BP神经网络收敛速度影响的比较

运用MATLAB软件及其BP神经网络工具箱函数，结合一个实际的例子比较了三种初值选取的算法对BP神经网络收敛速度的影响。     

求解非线性规划问题的拟合算法

文章讨论非线性规划问题，借助于函数拟舍的思想，建立了问题的一个初始点任意的线性收敛的新算法，在新算法的每次迭代中，下降方向是从函数的拟合中得到，而不是由传统的拟牛顿方程得到，并且在较弱的假设下证明算法是线性收敛的．     

随机变量序列几乎处处收敛的几个等价命题

由随机变量序列几乎处处收敛可推出其依概率收敛，进而可推出其依分布收敛，可见判别几乎处处收敛的重要性．给出了它的几个等价命题，同时还证明了独立随机变量和序列几乎处处收敛等价于依概率收敛，亦等价于依分布收敛．     

非扩张映像Ishikawa迭代的稳定性及与Picard迭代的关系

得到了Ishikawa迭代过程的稳定性结果，并应用这个结果证明了如下结论：如果T在X中有惟一不动点p，且对任何初值x1∈D（T）及任意的非负整数m，Ishikawa迭代xn＋1=I（T，tn＋m，sn＋m，xn）均收敛于不动点p，当^∞∑（1-tn＋tnsn）＜＋∞时，对任何初值y1∈D（T），Picard迭代过程yn＋1=Tyn必收敛于不动点p．     

Banach空间中非Lipschitzian半群的逼近序列的强收敛

C是一致凸B anach空间X中有界凸闭子集,X的范数一致G-可微,证明了渐近非扩张型半群的公共不动点集F(S)是C的sunny、非扩张压缩;给出了逼近序列{xt}的强收敛性,其中xt=atx (1-at)T(μ)xt.