An iterative method for solving nonlinear least squares problems with nondifferentiable operator
Journal Title: Математичні Студії - Year 2017, Vol 48, Issue 1
Abstract
An iterative differential-difference method for solving nonlinear least squares problems is proposed and studied. The method uses the sum of the derivative of the differentiable part of the operator and the divided difference of the nondifferentiable part instead of computing Jacobian. We prove the local convergence of the proposed method and compute its convergence rate. Finally, we carry out numerical experiments on a set of test problems.
Authors and Affiliations
Stepan Shakhno, Halyna Yarmola, R. P. Iakymchuk
Keywords
Related Articles
- EP ID EP302733
- DOI 10.15330/ms.48.1.97-107
- Views 54
- Downloads 0
On boundary behavior of mappings with two normalized conditions
The paper is devoted to a study of mappings with finite distortion that have been recently actively investigated last time. We study the boundary behavior of mappings between two fixed domains in metric spaces, which sat...
On the theme of Le page
Some Le Page's commutativity criteria (in complex Banach algebras) are considered. We try to reconstruct a brief history of their evolution. Our recent results, in the real case, are also presented. These propositions ar...
Problem of determining of minor coefficient and right-hand side function in semilinear ultraparabolic equation
The problem of determining of the right-hand side function and the time depended minor coefficient in semilinear ultraparabolic equation from the initial, boundary and overdetermination conditions, is considered in this...
Symmetric polynomials on the Cartesian power of Lp on the semi-axis
The paper deals with polynomials in the complex Banach space (Lp[0,+∞))n, which are the nth Cartesian power of the complex Banach space of Lebesgue measurable integrable in a power p complex-valued functions on [0,+∞), w...
Starlike and convexity properties for p-valent solutions of the Shah differential equation
The starlikeness and the convexity in the unit disc and the growth of an entire function f(z)=zp+∑∞n=p+1fnzn, p∈N, satisfying the differential equation z2w′′+(β0z2+β1z)w′+(γ0z2+γ1z+γ2)w=0 (β0,β1,γ0,γ1,γ2 are complex para...