说明：双击或选中下面任意单词，将显示该词的音标、读音、翻译等；选中中文或多个词，将显示翻译。 您的位置：首页 -> 词典 -> Picard迭代序列 1)  Picard iteration sequence Picard迭代序列 1. In this paper,it is shown that the convergence of Picard iteration sequence is equivalent to Mann iteration sequence,and the convergence of Mann iteration sequence is equivalent to Ishikawa iteration sequence for Zamfirescu operators in an arbitrary Banach space. 在适当放宽不动点定理的条件下,分别证明了Picard迭代序列与Mann迭代序列收敛定理的等价性以及Mann迭代序列与Ishikawa迭代序列收敛定理的等价性。 2)  Picard iteration Picard迭代法 1. The solution method and process of the system of nonlinear equations with Picard iteration method is given. 在此基础上,研究了非饱和-饱和渗流模型中的非线性方程组及其解法,给出了Picard迭代法求解该方程组的方法、步骤,并对边坡降雨入渗的规律进行了研究,阐述了岩质边坡降雨入渗过程中基质吸力的变化、暂态饱和区的形成、发展以及暂态水压力的分布、变化。 3)  Picard iteration Picard迭代 1. If T has a unique fixed point p, for any initial data x_1∈D(T) and any nonnegative integer m, the Ishikawa iteration process x_(n+1)=I(T,t_(n+m),s_(n+m),x_n) converges strongly to fixed point p, and ∑∞n=1(1-t_n+t_ns_n)<+∞, then for any initial data y_1∈D(T), the Picard iteration process y_(n+1)=Ty_n must converges strongly to fixed point p. 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∑∞n=1(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。 2. At last we obtain some stability results for Picard iteration in 2-metric space. 第三章中,研究了在赋2-范空间(更一般地,在2-距离空间)框架下有关不动点理论以及相关的问题,运用Picard迭代序列逼近的方法证明了压缩型映象有唯一不动点,进而也讨论了Picard迭代序列的稳定性。 4)  Picard sequence Picard序列 5)  iterative sequence 迭代序列 1. Strong convergence of Reich-Takahashi iterative sequence for asymptotically pseudo-contractive mapping; 渐近伪压缩映像的Reich-Takahashi迭代序列的强收敛性 2. Strong convergence of some iterative sequences for asymptotically nonexpansive mappings in Banach spances; Banach空间中渐近非扩张映象迭代序列的强收敛性 3. Aim\ The convergence of Mann iterative sequences of real functions defined on unbounded convex domain is discussed. 目的　讨论无界闭凸区域上的实函数的 Mann迭代序列的收敛性 。 6)  iteration sequence 迭代序列 1. For a lot of nonlinear mappings,the fixed points can be approximated by iteration sequence {xn}. 设E是Hilbert空间,T是E中具非空不动点集F(T)的非线性映象,许多非线性映像的多种形式的迭代序列{xn}可逼近映像T的不动点p0∈F(T)。 2. Convergence of Ishikawa iteration sequence for setvalued nonexpansive mapping are discussed in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point. 讨论了集值非扩张映象在一致凸Banach空间中Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是曾六川等的推广和发展。 3. This article will set up an iteration sequence and extent its results to a more comprehensive mapping-semi-compact 1-set mapping. 本文建立了一迭代序列,将其结果推广到更广泛的一类映射———半紧1-集映射,并削弱了紧性和全连续的条件,得到了乘积空间中的极小、极大耦合不动点定理。 补充资料：层层迭迭 1.见"层层迭迭"。 说明：补充资料仅用于学习参考，请勿用于其它任何用途。 参考词条 ©2011 dictall.com