中国科技论文在线

上传时间

2005年07月06日

【期刊论文】Convergence of Broyden-Like Matrix

曾金平， DONGHUI LI， JINPING ZENG AND SHUZI ZHOU

Appl. Math. Lett. Vol. 11, No.5, pp. 35-37, 1998，-0001，（）：

-1年11月30日

n this paper, the convergence of Broyden-like matrices generated by Broyden-like method for solving nonlinear equations F(x) = 0 is discussed. Under suitable conditions, it is proved that the matrix sequence converges to the gradiauent of F(x).

nvergence,， Broyden-like matrix,， Nonlinear equations,， Nonlinear programming.，

53浏览
0点赞
0收藏
0分享
159下载
0

引用

上传时间

2005年07月06日

【期刊论文】Convergence Analysis of Generalized Schwarz Algorithms for Solving Obstacle Problems with T-Monotone Operator

曾金平， CHENLIANG LI*， JINPING ZENG AND SHUZI ZHOU

Computers and Mathematics with Applications 48(2004)373-386.，-0001，（）：

-1年11月30日

摘要

This paper proves the convergence of some generalized Schwarz algorithms for solving the obstacle problems with a T-monotone operator. Numerical results show that the generalized Sehwarz algorithms converge faster than the classical Schwarz algorithms.

Variational inequalities,， T-monotone operator,， Obstacle problems,， Convergence,， Generalized Schwarz algorithms.，

37浏览
0点赞
0收藏
0分享
143下载
0

引用

上传时间

2005年07月06日

【期刊论文】Monotonic Iterative Algorithms for an Implicit Two-Sided Obstacle Problem

曾金平， SHUZI ZHOU， JINPING ZENG AND WUPING ZHAN

Computers and Mathematics with Applications 43(2002)31-40，-0001，（）：

-1年11月30日

摘要

In this paper, we present some iterative algorithms, mainly Schwarz algorithms, for an implicit two-sided obstacle problem. The monotonic convergence of the algorithms is proved.

Two-sided obstacle problem,， Iterative algorithm,， Lower (， upper)， solution,， Schwarz algorithm,， Monotonic convergence.，

50浏览
0点赞
0收藏
0分享
136下载
0

引用

上传时间

2005年07月06日

【期刊论文】Convergence Property of a Class of Variable Metric Methods

曾金平， ZHONG-ZHI ZHANG， Yiyang， Hunan， DING-HUA CAO AND JIN-PING ZENG*

Applied Mathematics Letters 17(2004)437-442，-0001，（）：

-1年11月30日

摘要

We investigate convergence property of the restricted Broyden class of variable metric methods. We show that when these methods with unit step are applied to a strictly convex quadratic objective function, the generated iterative sequence converges to the unique solution of the problem globally and superlinearly. Moreover, the distance between the iterative matrix and the Hessian matrix of the objective function decreases with iterations. The sequence of function vMues also exhibits descent property when the iteration is sufficiently large. (~) 2004 Elsevier Ltd. All rights reserved.

Variable metric methods,， Quadratic function.，

46浏览
0点赞
0收藏
0分享
118下载
0

引用

上传时间

2005年07月06日

【期刊论文】Geometric Convergence of Overlapping Schwarz Methods for Obstacle Problems

曾金平， Jinping Zeng

，-0001，（）：

-1年11月30日

摘要

A new catalyst system for the synthesis of R-aryl-substituted nitriles is reported. The bicyclic triaminophosphine P(i-BuNCH2CH2)3N (1b) serves as an efficient and versatile ligand for the palladium-catalyzed direct R-arylation of nitriles with aryl bromides. Using ligand 1b, ethyl cyanoacetate and primary as well as secondary nitriles are efficiently coupled with a wide variety of aryl bromides possessing electron-rich, electron-poor, electron-neutral, and sterically hindered groups.

31浏览
0点赞
0收藏
0分享
113下载
0

引用