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【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
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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【期刊论文】MONOTONIC ITERATIVE ALGORITHMS FOR A QUASICOMPLEMENTARITY PROBLEM*
曾金平, Shu-zi Zhou, Wu-ping Zan, Jin-ping Zeng
Journal of Computational Mathematics, Vol.19, No.3, 2001, 293-298.,-0001,():
-1年11月30日
We present two iterative algorithms, so called SCP and SA respectively, for soling quasicomplementarity problem (QCP). Algorithm SCP is to approximate QCP by a se-quence of ordinary complementarity problems(CP). SA is a Schwarz algorithm which can be implemented parllelly. We prove the algorithms above are monotonically convergent.
Quasicomplementarity problem,, Iterative algorthm,, Monotonic convergence,, Schwarz algorithm.,
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【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
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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【期刊论文】Generalized Schwarz Algorithm for Obstacle Problems
曾金平, S. ZHOU, J. ZENG AND X. TANG
Computers and Mathematics with Applications 38(1999)263-271,-0001,():
-1年11月30日
this paper, we present so-called generalized additive and multiplicative Schwarz algorithms for solving the discretization problems of obstacle problems with a self-adjoint elliptic operator. We establish convergence theorems for the proposed algorithms. Numerical tests show that a faster convergence rate can be obtained by choosing suitable parameters in the algorithms.
Variational inequalities,, Obstacle problems,, Generalized Schwarz algorithms,, Con-vergence.,
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【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
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.,
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