There is an error in Equation 34 within the subsection " Parameter Reduction of the Stability Phase Space " in the Results section. The absolute value notation is incorrect. Please view the complete, correct equation here: s k j ¼ 1 a k s k j Reference 1. access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and rep...

In this paper, we investigate global convergence properties of the inexact nonsmooth Newton method for solving the system of absolute value equations (AVE). Global Q-linear convergence is established under suitable assumptions. Moreover, we present some numerical experiments designed to investigate the practical viability of the proposed scheme.

We give linear-inequalities-based sufficient conditions for the unsolvability and solvability of the NP-hard absolute value equation (AVE): Ax − |x| = b, where A is an n × n square matrix. The satisfaction of the linear inequalities is easily verified using a linear program.

We formulate the NP-hard n-dimensional knapsack feasibility problem as an equivalent absolute value equation (AVE) in an n-dimensional noninteger real variable space and propose a finite succession of linear programs for solving the AVE. Exact solutions are obtained for 1880 out of 2000 randomly generated consecutive knapsack feasibility problems with dimensions between 500 and one million. For...

The interference of the direct wave from the point source to the receiver and the wave reflected from the impedance ground in a turbulent atmosphere is studied. A parabolic equation approach for calculating the sound pressure p at the receiver is formulated. Then, the parabolic equation is solved by the Rytov method yielding expressions for the complex phases of direct and ground-reflected wave...

We analyze numerical stability of a recursive computation scheme of present value (PV) amd show that the absolute error increases exponentially for positive discount rates. We show that reversing the direction of calculations in the recurrence equation yields a robust PV computation routine.

We show that the recursive computation scheme of present value (PV), which is used implicitly in FAS 91 accounting standard, is numerically unstable and that the absolute error increases exponentially for positive discount rates. We show that reversing the direction of calculations in the recurrence equation yields a robust PV computation routine.

in this article, we propose and analyze a computational method for numerical solution of general two point boundary value problems. method is tested on problems to ensure the computational eciency. we have compared numerical results with results obtained by other method in literature. we conclude that propose method is computationally ecient and eective.