A BRIEF SURVEY OF METHODS FOR SOLVING NONLINEAR LEAST-SQUARES PROBLEMS

被引：26

作者：

Mohammad, Hassan ^{[1
]}

Waziri, Mohammed Yusuf ^{[1
]}

Santos, Sandra Augusta ^{[2
]}

机构：

[1] Bayero Univ, Dept Math Sci, Fac Phys Sci, Kano 700241, Nigeria

[2] Univ Estadual Campinas, Inst Math Stat & Sci Comp, BR-13083970 Campinas, SP, Brazil

来源：

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2019年 / 9卷 / 01期

关键词：

Nonlinear least squares; structured quasi-Newton methods; sizing techniques; hybridization methods; derivative-free methods; DERIVATIVE-FREE ALGORITHM; QUASI-NEWTON METHODS; LEVENBERG-MARQUARDT; EVALUATION COMPLEXITY; GLOBAL CONVERGENCE; ITERATIVE METHOD; HYBRID METHODS; BFGS METHOD; EQUATIONS; PARAMETER;

D O I：

10.3934/naco.2019001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a brief survey of methods for solving nonlinear least-squares problems. We pay specific attention to methods that take into account the special structure of the problems. Most of the methods discussed belong to the quasi-Newton family (i.e. the structured quasi-Newton methods (SQN)). Our survey comprises some of the traditional and modern developed methods for nonlinear least-squares problems. At the end, we suggest a few topics for further research.

引用

页码：1 / 13

页数：13

共 75 条

[1]

Al-Baali M, 2003, APPL OPTIM, V82, P1

[2]

ALBAALI M, 1985, J OPER RES SOC, V36, P405, DOI 10.2307/2582880

[3] ESTIMATION OF HESSIAN MATRIX IN NONLINEAR LEAST-SQUARES PROBLEMS WITH NON-ZERO RESIDUALS [J].