Work

Asymptotically Minimal Contractors Based on the Centered Form

Year: 2024

Type: article

Abstract: This paper proposes a new interval-based contractor for nonlinear equations which is minimal when dealing with narrow boxes. The method is based on the centered form classically used by interval algorithms combined with a Gauss Jordan band diagonalization preconditioning. As an illustration in stability analysis, we propose to compute the set of all parameters of a characteristic function of linear time-delayed equations which have at least one zero in the imaginary axis. Our approach is able compute a guaranteed and accurate enclosure of the solution set faster than existing approaches.

Source: Acta Cybernetica

DOI: 10.14232/actacyb.306222

Author: Luc Jaulin

Institution: Laboratoire des Sciences et Techniques de l’Information de la Communication et de la Connaissance

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404926189

FWCI: 0.401

Cites: 37

Cited by: 2

Related to: 10