ontheseparablenonlinearleastsquaresproblems

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	ontheseparablenonlinearleastsquaresproblems
	Xin Liu 1; Yaxiang Yuan 2
	2008
发表期刊	journalofcomputationalmathematics
ISSN	0254-9409
卷号	26 期号:3 页码:390
摘要	Separable nonlinear least squares problems are a special class of nonlinear least squares problems, where the objective functions are linear and nonlinear on different parts of variables. Such problems have broad applications in practice. Most existing algorithms for this kind of problems are derived from the variable projection method proposed by Golub and Pereyra, which utilizes the separability under a separate framework. However, the methods based on variable projection strategy would be invalid if there exist some constraints to the variables, as the real problems always do, even if the constraint is simply the ball constraint. We present a new algorithm which is based on a special approximation to the Hessian by noticing the fact that certain terms of the Hessian can be derived from the gradient. Our method maintains all the advantages of variable projection based methods, and moreover it can be combined with trust region methods easily and can be applied to general constrained separable nonlinear problems. Convergence analysis of our method is presented and numerical results are also reported.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38543
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学研究所 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Xin Liu,Yaxiang Yuan. ontheseparablenonlinearleastsquaresproblems[J]. journalofcomputationalmathematics,2008,26(3):390.
APA	Xin Liu,&Yaxiang Yuan.(2008).ontheseparablenonlinearleastsquaresproblems.journalofcomputationalmathematics,26(3),390.
MLA	Xin Liu,et al."ontheseparablenonlinearleastsquaresproblems".journalofcomputationalmathematics 26.3(2008):390.