The Levenberg-Marquardt algorithm is one of the most popular algorithms for the solution of nonlinear least squares problems. Motivated by the problem structure in data assimilation, we consider in this paper the extension of the classical Levenberg-Marquardt algorithm to the scenarios where the linearized least squares subproblems are solved inexactly and/or the gradient model is noisy and acc...

Abstract: Our purpose of this paper is to solve a class of stochastic linear complementarity problems (SLCP) with finitely many elements. Based on a new stochastic linear complementarity problem function, a new semi-smooth least squares reformulation of the stochastic linear complementarity problem is introduced. For solving the semi-smooth least squares reformulation, we propose a feasible non...

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...

This paper studies a decentralized supply chain in which a manufacturer sells a common generic product through two traditional and online retailers under free riding market. We assume that the traditional retailer provides the value added services but the online retailer does not. Factors such as retail prices, local advertising of the retailers, global advertising of the manufacturer and servi...

Objectives: This study evaluated the results of hearing screening program in school-age children our region and their etiologies. Patients Methods: The audiometry 6,073 first-year primary school students (2,915 males, 3,158 females; mean age: 75.6±3.9 years; range, 66 to 84 years) performed between January 2019 March 2020 were retrospectively scanned from Ministry Health National Hearing Screen...

We summarize recent improvements to a version of the Wilson-Devinney program that is widely used for the analysis of eclipsing binary data, and we describe the new WD95 program. WD95 contains the University of Calgary version of the Wilson-Devinney code, which supports the use of the Kurucz atmosphere models ; it provides options to use multiple epoch data and multiwavelength synoptic passbands...

There is ample evidence that the use of safety behaviour can interfere with the progress of therapy, particularly if exposure is involved. As a result, it is widely asserted that safety behaviour is anti-therapeutic. However, an unqualified rejection of safety behaviour should be reconsidered because we now have theoretical justification, experimental evidence and clinical observations showing ...