Newton's method and its variants are often used to solve problems of this type. In this paper, we are concerned with the computation of the minimal-norm solution to an underdetermined nonlinear least-squares pr
Cluster Newton methodDerivative-free methodPhysiologically based pharmacokinetic (PBPK) modelParameter estimationParameter estimation problems of mathematical models can often be formulated as nonlinear least squares problems. Typically these problems are solved numerically using iterative methods. The local ...
1. Gauss-Newton method replaces nonlinear least squares problem by sequence of linear least squares problems whose solutions converge to solution of original nonlinear problem. 2. If residual at solution is large, then second-order term omitted from hessian is not negligible, and Gauss-Newton metho...
Based on the idea of curve fitting, the nonlinear least squares method (Gauss-Newton method) has been applied to estimate the complex parameters. 该文从曲线拟合的思想出发,运用非线性最小二乘法(高斯-牛顿法)来估计压电材料复参数,仿真结果显示,估计值与真实值比较接近,算法的收敛性较强,是压电参数测量...
Gauss-Newton methodLocal convergence90C3065K0549M37A simple spectral correction for the Gauss-Newton model applied to nonlinear least squares problems is presented. Such a correction consists in adding a sign-free multiple of the identity to the Hessian of the Gauss-Newton model, being the ...
In this paper, the classical Gauss-Newton method for the unconstrained least squares problem is modified by introducing a quasi-Newton approximation to the second-order term of the Hessian. Various quasi-Newton formulas are considered, and numerical experiments show that most of them are more effici...
least-squaresautocorrelationoptimization-algorithmsquadratic-programmingdata-fittingnewtons-methodnonlinear-optimization-algorithmsgauss-newton-methodunconstrained-optimizationoverfittingquadporg UpdatedJun 27, 2017 TeX Code to conduct experiments for the paper Modified Gauss-Newton method for solving a smooth system ...
(NIST) has created a set of challenging nonlinear regression problems used to test nonlinear regression algorithms. NIST states that "a good nonlinear least squares procedure should be able to duplicate the certified results to at least 4 or 5 digits". BestCurvFit analyses of 22 NIST datasets ...
3.Based on the idea of curve fitting, the nonlinear least squares method (Gauss-Newton method) has been applied to estimate the complex parameters.该文从曲线拟合的思想出发,运用非线性最小二乘法(高斯-牛顿法)来估计压电材料复参数,仿真结果显示,估计值与真实值比较接近,算法的收敛性较强,是压电参数测...
We consider the Gauss–Newton method [20, 34] for the solution of (1.1). This is an iterative method that at each step solves a linear least-squares problem obtained from a first-order Taylor expansion of the nonlinear function r (x) = y − f (x). Convergence is assured thanks to...