A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2016, Vol 4, Issue 2
Abstract
This work addresses a spectral correction for the Gauss-Newton model in the solution of nonlinear least-squares problems within a globally convergent algorithmic framework. The nonmonotone line search of Zhang and Hager is the chosen globalization tool. We show that the search directions obtained from the corrected Gauss-Newton model satisfy the conditions that ensure the global convergence under such a line search scheme. A numerical study assesses the impact of using the spectral correction for solving two sets of test problems from the literature.
Authors and Affiliations
Douglas S. Gonçalves, Sandra A. Santos
Keywords
Related Articles
- EP ID EP240472
- DOI -
- Views 107
- Downloads 0
New results on the stability, integrability and boundedness in Volterra integro-differential equations
The authors of this article deal with a first order non-linear Volterra integro-differential equation (NVIDE). To this end, the conditions are obtained which are sufficient for stability (S), boundedness (B), and for eve...
Constrained optimization with integer and continuous variables using inexact restoration and projected gradients
Inexact restoration (IR) is a well established technique for continuous minimization problems with constraints that can be applied to constrained optimization problems with specific structures. When some variables are re...
Fitting of parameters for a temperature control model by means of continuous derivative-free optimization: a case study in a broiler house
Intensive broiler production requires of accurate control systems aimed to maintain ideal conditions inside the facilities. The achievement of an appropriate environment guarantees good performance and sustainability of...
Linear programming model for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number
In this work, we considered two-person zero-sum games with fuzzy payoffs and matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers (TrIFNs). The concepts of TrIFNs and their arithmetic operations were use...
Modified Spectral Projected Subgradient Method: Convergence Analysis and Momentum Parameter Heuristics
The Modified Spectral Projected Subgradient (MSPS) was proposed to solve Langrangen Dual Problems, and its convergence was shown when the momentum term was zero. The MSPS uses a momentum term in order to speed up its con...