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A CLASS OF DECOMPOSITION METHODS FOR LARGE-SCALE SYSTEMS OF NONLINEAR EQUATIONS
引用本文:王德人,张建军. A CLASS OF DECOMPOSITION METHODS FOR LARGE-SCALE SYSTEMS OF NONLINEAR EQUATIONS[J]. 高等学校计算数学学报(英文版), 1997, 0(1)
作者姓名:王德人  张建军
作者单位:Wang De-ren Zhang Jian-jun Department of Mathematics,Shanghai University,201800 Shanghai,PRC.Department of Mathematics,Shanghai University,201800 Shanghai,PRC.
基金项目:Project supported by the NSF of China.
摘    要:This paper presents a new decomposition method for solving large-scale systems of nonlinear equations. The new method is of superlinear convergence speed and has rather less computa tional complexity than the Newton-type decomposition method as well as other known numerical methods, Primal numerical experiments show the superiority of the new method to the others.


A CLASS OF DECOMPOSITION METHODS FOR LARGE-SCALE SYSTEMS OF NONLINEAR EQUATIONS
Wang De-ren Zhang Jian-jun. A CLASS OF DECOMPOSITION METHODS FOR LARGE-SCALE SYSTEMS OF NONLINEAR EQUATIONS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1997, 0(1)
Authors:Wang De-ren Zhang Jian-jun
Affiliation:Wang De-ren Zhang Jian-jun Department of Mathematics,Shanghai University,201800 Shanghai,PRC.Department of Mathematics,Shanghai University,201800 Shanghai,PRC.
Abstract:This paper presents a new decomposition method for solving large-scale systems of nonlinear equations. The new method is of superlinear convergence speed and has rather less computational complexity than the Newton-type decomposition method as well as other known numerical methods. Primal numerical experiments show the superiority of the new method to the others.
Keywords:Systems of nonlinear equations   superlinear convergence   Broyden's update   column update   decomposition method.
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