ITERATION

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Wandering domains in the transcendental dynamics
《Chinese Science Bulletin》2001年第1期34-35,共2页WANG YuefeiInstitute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China 
This work was supported by the National Natural Science Foundation of China (Grant No. 9631140)
It is shown that new classes of non-critically finite entire functions do not have wandering domains.
关键词:ITERATION Fatou SET Julia SET WANDERING domains. 
A general method to generate parallel iterations for finding all zeros of polynomial simultaneously
《Chinese Science Bulletin》1997年第22期1849-1852,共4页Han, DF Wang, XH 
SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fam...
关键词:ALL ZEROS of a polynomial PARALLEL ITERATION generating method. 
Convergence on the iteration of Halley family in weak conditions被引量:19
《Chinese Science Bulletin》1997年第7期552-555,共4页WANG XinghuaDepartment of Mathematics, Hangzhou University, Hangzhou 310028, China 
WE have obtained the convergence theorems of the iteration of Halley family by the point estimate of Smale. In the point estimate, map f which is desired to be solved is presumed to be analytic in some proper neighbor...
关键词:operator EQUATIONS Banuch space the ITERATION of HALLEY FAMILY CONVERGENCE WEAK conditions. 
A remark on Ishikawa iteration被引量:2
《Chinese Science Bulletin》1997年第8期631-633,共3页ZHOU HaiyunDepartment of Basic Course, Ordnance Engineering College, Shijiazhuang 050003, China 
LET E be a real Banach space with norm ||·||,E~* a uniformly convex dual space.Let K bea nonempty closed convex and bounded subset of E,T:K→K a continuous strongly pseudo-contractive mapping.Recently,Chidume proved ...
关键词:ISHIKAWA ITERATION STRONG pseudocontractlon Reich’s inequality. 
The Julia Set of the Mapping z→zexp(z+μ)被引量:2
《Chinese Science Bulletin》1994年第7期529-533,共5页乔建永 
Project supported by the Tianyuan Foundation of China.
1 Introduction and Main Results For an entire function f(z), we denote the n-th iteration of f by f^n. The Fatouset of f is defined by F(f)={z∈C|{f^n} is normal at z}, the complement J(f)=C\F(f)is called Julia set. A...
关键词:complex DYNAMICAL system ITERATION PERIODIC domain. 
On the Relation Between the Convergence Factors of Additive and Multiplicative Schwarz Method
《Chinese Science Bulletin》1993年第12期978-981,共4页张胜 
Project supported by the National Post Doctorial Science Foundation of China
1 Additive and Multiplicative Schwarz Method Let ΩRn be a polygonal region, be the variational form of an elliptic boundary value problem defined on Ω. a(·,·) is symmetric positive definite and it int...
关键词:ORTHOGONAL projection ELLIPTIC equation SCHWARZ iteration. 
AN EOF ITERATION SCHEME FOR THE PREDICTION OF SUMMER RAINFALL IN CHINA IN TERMS OF PREVIOUS-PERIOD ATMOSPHERIC CIRCULATION PATTERNS
《Chinese Science Bulletin》1992年第19期1631-1633,共3页张邦林 丑纪范 孙照渤 
Many studies have shown the pronounced statistical relationship between seasonal averaged 500 hPa height departures in the preceding winter/spring and rainfall anomalies over China in the following summer (June—Augus...
关键词:previous-period atmospheric CIRCULATION PREDICTION of summer rainfall EOF (Empirical Orthogonal Function) ITERATION scheme 
THE HIERARCHY AND GRZEGORCZYK'S PROBLEM OF MULTIPLE RECURSIVE FUNCTIONS
《Chinese Science Bulletin》1992年第15期1319-1320,共2页郑锡忠 钱磊 
Project supported by the National Natural Science Foundation of China.
A. Grzegorczyk listed in [1] nine important open problems, of which the seventh has been answered positively by R. W. Ritchie. Now, we shall answer negatively the ninth
关键词:ANSWER ITERATION Ritchie LISTED operations recursive negatively SCHEMA SUBSET positively 
THE JULIA SETS OF THE RANDOM ITERATION OF RATIONAL FUNCTIONS被引量:1
《Chinese Science Bulletin》1992年第12期969-971,共3页周维民 任福尧 
Project supported by the National Natural Science Foundation of China
The study of the dynamics of rational maps, which is well known now, has centered on the self-iteration of a single rational map. The IFS (Iterated Function Systems) introduced by Bamsley et al), which are used to gen...
关键词:ITERATION Julia SET FRACTAL MODELING IMAGES 
EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTION FOR SYMMETRIC CONTRACTED OPERATOR EQUATIONS AND THEIR APPLICATIONS被引量:2
《Chinese Science Bulletin》1991年第10期800-805,共6页颜心力 
Ref. [1] studies problems concerned by using the nature of mixed monotone of two-element nonlinear operators. As for mixed monotone operator, Ref. [2] studies the minimax solution
关键词:CONE MIXED MONOTONE OPERATOR non-symmetric iteration. 
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