We propose a novel inverse-free neurodynamic approach (NIFNA) for solving absolute value equations (AVE). The NIFNA guarantees global convergence and notably improves convergence speed by achieving ...

Absolute value equations (AVEs), characterised by the inclusion of absolute value functions in the variables, present inherently non‐smooth and computationally challenging problems that are often ...

Absolute value is a mathematical concept often used in conjunction with a number line or graph to represent the relative value from zero (modulus). To illustrate this idea in a different way, the ...

ABSTRACT: We propose a novel inverse-free neurodynamic approach (NIFNA) for solving absolute value equations (AVE). The NIFNA guarantees global convergence and notably improves convergence speed by ...

‎Generalized Newton's method is one of the important algorithms for solving absolute value equations‎. ‎In this paper‎, ‎we introduce a two-step method to improve the generalized Newton algorithm‎.

A relaxation iteration method with three parameters for solving absolute value equation. Example 1. Consider the AVE with the tridiagonal coefficient matrix A=tridiag(−1,4,−1), where x_star= (1,2,1,2, ...

In mathematics, the absolute value of a real number x, represented as |x|, is the non-negative value of x without regard to its sign. Absolute value Formula: The absolute value formula or absolute ...