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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.

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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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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.,

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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

摘要

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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    湖南大学,湖南

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