Matrix-Norm Approach of Computing Levenberg-Marquardt Reg- ularization Parameter for Nonlinear Equations
نویسندگان
چکیده
منابع مشابه
A new Levenberg-Marquardt approach based on Conjugate gradient structure for solving absolute value equations
In this paper, we present a new approach for solving absolute value equation (AVE) whichuse Levenberg-Marquardt method with conjugate subgradient structure. In conjugate subgradientmethods the new direction obtain by combining steepest descent direction and the previous di-rection which may not lead to good numerical results. Therefore, we replace the steepest descentdir...
متن کاملAlgebraic rules for computing the regularization parameter of the Levenberg-Marquardt method
A class of Levenberg-Marquardt methods for solving the nonlinear least-squares problem is proposed with algebraic explicit rules for computing the regularization parameter. The convergence properties of this class of methods are analyzed. All accumulation points of the generated sequence are proved to be stationary. Q-quadratic rate of convergence for the zero-residual problem is obtained under...
متن کاملA Parameter-self-adjusting Levenberg-marquardt Method for Solving Nonsmooth Equations
A parameter-self-adjusting Levenberg-Marquardt method (PSA-LMM) is proposed for solving a nonlinear system of equations F (x) = 0, where F : R → R is a semismooth mapping. At each iteration, the LM parameter μk is automatically adjusted based on the ratio between actual reduction and predicted reduction. The global convergence of PSALMM for solving semismooth equations is demonstrated. Under th...
متن کاملOn Levenberg-marquardt-kaczmarz Iterative Methods for Solving Systems of Nonlinear Ill-posed Equations
In this article a modified Levenberg-Marquardt method coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations is investigated. We show that the proposed method is a convergent regularization method. Numerical tests are presented for a non-linear inverse doping problem based on a bipolar model.
متن کاملLevenberg-marquardt Methods for Constrained Nonlinear Equations with Strong Local Convergence Properties
We consider the problem of finding a solution of a constrained (and not necessarily square) system of equations, i.e., we consider systems of nonlinear equations and want to find a solution that belongs to a certain feasible set. To this end, we present two Levenberg-Marquardt-type algorithms that differ in the way they compute their search directions. The first method solves a strictly convex ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bayero Journal of Pure and Applied Sciences
سال: 2019
ISSN: 2006-6996,2006-6996
DOI: 10.4314/bajopas.v11i1.80s