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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.，

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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.，

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2005年07月06日

【期刊论文】Block monotone iterative methods for elliptic variational inequalities ☆

曾金平， Jinping Zeng， Shuzi Zhou *

Applied Mathematics and Computation 128(2002)109-127，-0001，（）：

-1年11月30日

摘要

This paper discusses some important block iterative methods for solving variational inequalities with a nonlinear operator and proves their monotone convergence properties and comparison theorems.These results extend C.V.Pao’s research work in Numer.Math.(72) (1995) 239 to variational inequalities. _ 2002 Elsevier Science Inc. All rights reserved.

Monotone iterative scheme， Upper solution， Lower solution， Comparison theorem， Variational inequality

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2005年07月06日

【期刊论文】A domain decomposition method for a kind of optimization problems☆

曾金平， J.-P. Zeng *， S.Z. Zhou

Journal of Computational and Applied Mathematics 146(2002)127-139，-0001，（）：

-1年11月30日

摘要

In this paper, we are concerned with the monotone convergence of a multiplicative method for solving a kind of optimization problems. We showthat the iterate sequence produced by the method converges to the solution of the problem monotonically.

Optimization， Domain decomposition， Monotone convergence

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