CONJUGATE

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Extending GCR Algorithm for the Least Squares Solutions on a Class of Sylvester Matrix Equations
《Numerical Mathematics(Theory,Methods and Applications)》2018年第1期140-159,共20页Baohua Huang Changfeng Ma 
Supported by Fujian Natural ScienceFoundation(Grant No.2016J01005);Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB18010202).
The purpose of this paper is to derive the generalized conjugate residual(GCR)algorithm for finding the least squares solution on a class of Sylvester matrix equations.We prove that if the system is inconsistent,the l...
关键词：Sylvester matrix equation Least squares solution Generalized conjugate residual algorithm Numerical experiments 
Conjugate Symmetric Complex Tight Wavelet Frames with Two Generators
《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期353-363,共11页Yanmei Xue Ning Bi Yuan Zhang 
supported by the National Natural Science Foundation of China(Grant No.10631080,Grant No.11126291);Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University,the Scientific Research Foundation of Nanjing University of Information Science and Technology(Grant No.2012X057).
Two algorithms for constructing a class of compactly supported conjugate symmetric complex tight wavelet framesψ={ψ1,ψ2}are derived.Firstly,a necessary and sufficient condition for constructing the conjugate symmet...
关键词：Complex tight wavelet frame conjugate symmetry vanishing moments 
A SELF-ADAPTIVE TECHNIQUE FORA KIND OF NONLINEAR CONJUGATEGRADIENT METHODS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2004年第2期225-232,共8页王丽平 
Conjugate gradient methods. are a class of important methods for unconstrained optimization, especially when the dimension is large. In 2001, Dai and Liao have proposed a new conjugate condition, based on it two nonli...
关键词：非线性最优化试验问题 非线性共轭梯度法 自适应技术 无约束最优化 下降方向 
THE CONVERGENCE OF FLETCHER-REEVES ALGORITHM
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2000年第2期216-221,共6页聂普炎 莫孜中 
As concrns fletcher-Reeues algorithm,Powell showed its convergence in the case of ex- act linear search.In 1985,Al-Baali proved its conver gence when a parameter b2belangs to (0,1/ 2)for inexact linear search.and an o...
关键词：CONJUGATE GRADIENT method fletcher-reeves agorithm LINEAR SEARCH INEXACT LINEAR search. 
A SUBSPACE PROJECTED CONJUGATE GRADIENT ALGORITHM FOR LARGE BOUND CONSTRAINED QUADRATIC PROGRAMMING被引量：3
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1998年第1期51-60,共10页倪勤 
This research was supported by Chinese NNSF grant and NSF grant of Jiangsu Province
A subspace projected conjugate gradient method is proposed for solving large bound constrained quadratic programming. The conjugate gradient method is used to update the variables with indices outside of the active se...
关键词：Projected search CONJUGATE GRADIENT method LARGE problem BOUND constrained quadraic programming. 
ON THE GLOBAL CONVERGENCE OF CONJUGATE GRADIENT METHODS WITH INEXACT LINESEARCH
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期147-153,共7页刘光辉 韩继业 
This work is supported by the National Natural Science Foundation of China
In this paper we consider the global convergence of any conjugate gradient method of the form d1=-g1,dk+1=-gk+1+βkdk(k≥1)with any βk satisfying sume conditions,and with the strong wolfe line search conditions.Under...
关键词：CONJUGATE GRADIENT method STRONG Wolfe line SEARCH global convergence. 
A RESTARTING DIRECTION FOR THE CONJUGATE GRADIENT METHOD
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期154-163,共10页孙麟平 
The Project Supported by National Natural Foundation of China
The main purpose of this paper is to provide a restarting direction for improving on the standard conjugate gradient method.If a drastic non-quadratic behaviour of the objective function is observed in the neighbour o...
关键词：OPTIMIZATION QUASI-NEWTON CONJUGATE GRADIENT RESTART 
DOMAIN DECOMPOSITION PRECONDITIONERS FOR SECOND-ORDER HYPERBOLIC EQUATIONS ON L-SHAPED REGIONS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第1期54-62,共9页金小庆 王朝光 
Linear systems arising from implicit time discretizations and finite difference space discretizations of second-order hyperbolic equations on L-shaped region are considered. We analyse the use of domain deocmposilion ...
关键词：Domain decomposition hyperbolie equation CAPACITANCE matrix condition number preconditioned CONJUGATE gradient method 
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