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【期刊论文】Geometric Convergence of Overlapping Schwarz Methods for Obstacle Problems
曾金平, Jinping Zeng
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-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】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
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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【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】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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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
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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