Data/hora: 25/06/2024 10:48:04

Biblioteca(s): 	Embrapa Mandioca e Fruticultura.	
Data corrente: 	28/08/1995	
Data da última atualização: 	28/08/1995	
Autoria: 	TAPIA, R. A.	
Afiliação: 	Lacturer, Departmet of Mathematics, Xian Jiaotong University, Xian, Shaanxi, China.	
Título: 	Hybrid method for nonlinear least-square problems without calculating derivatives.	
Ano de publicação: 	1990	
Fonte/Imprenta: 	Journal of Optimization Theory and Applications, v.65, n.3, p.554-575, 1990.	
Idioma: 	Inglês	
Conteúdo: 	This paper presents a no-derivative modification of the hybrid Gauss-Newton-BFGS method for nonlinear least-square problems suggested initially by Al-Baali and Fletcher and modified later by Fletcher and Xu. The modification is made in such a way that, in a Gauss-Newton step, the Broyden's rank-one updating formula is used to obtain an approximate Jacobian and, in a BFGS  step, the Jacobian is estimated using difference formulas. A set of numerical comparisons among the new hubrid method, the Gauss-Newton-Broyden method, and the finite-difference BFGS method is made and shows that the new hybrid method combines the better feature of Gauss-Newton-Broyden method and the finite-difference BFGS method. this paper also extends to the least-square problem the finite-termination property of the Broyden method, proved for a nonsigular system of equations  by Gay and for the full-rank rectangular system of equations by Gerber and Luk.	
Palavras-Chave: 	BFGS method; Finite-termination property; Gauss-newton method; Hybrid method; Nonlinear least squares.	
Categoria do assunto: 	--	
Registro original: 	Embrapa Mandioca e Fruticultura (CNPMF)	
Exemplares: 	CNPMF - (15919-1) - ADC - SP - -- - S3394 -  - S3394 - DIS