This paper provides a thorough exploration of the absolute value equations $ Ax-| x|= b $, a
seemingly straightforward concept that has gained heightened attention in recent years. It is …

Uncertainty is a common phenomenon in practice. Due to measurement errors we can
hardly expect precise values in real-life linear programming problems. Using estimated …

This article clarifies what it means to solve a system of fuzzy linear equations, relying on the
fact that they are a direct extension of interval linear systems of equations, already studied in …

A note on absolute value equations Page 1 Optim Lett (2010) 4:417–424 DOI 10.1007/s11590-009-0169-y
ORIGINAL PAPER A note on absolute value equations Sheng-Long Hu · Zheng-Hai Huang …

We consider weak and strong solvability of general interval linear systems consisting of
mixed equations and inequalities with mixed free and sign-restricted variables. We …

We present abstract acceleration techniques for computing loop invariants for numerical
programs with linear assignments and conditionals. Whereas abstract interpretation …

The polyhedra abstract domain is one of the most powerful and commonly used numerical
abstract domains in the field of static program analysis based on abstract interpretation. In …

Interval linear programming (ILP) was introduced in order to deal with linear programming
problems with uncertainties that are modelled by ranges of admissible values. Basic tasks in …

The system of absolute value equation, denoted by AVE, is a non-differentiable NP-hard
problem. Many approaches have been proposed during the past decade and most of them …

In this paper, we explore a unified way to construct smoothing functions for solving the
absolute value equation associated with second-order cone (SOCAVE). Numerical …