A note on regularity and positive definiteness of interval matrices

DOI10.2478/s11533-011-0118-8zbMath1256.15017OpenAlexW2038996793MaRDI QIDQ432241

Raena Farhadsefat, Taher Lotfi, Jiří Rohn

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0118-8

zbMATH Keywords

positive definitenessstrong regularityinterval matricesNP-hardregularity conditionNP-completeregular interval matricessingular interval matricessymmetric interval matrices

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (5)

On developing a stable and quadratic convergent method for solving absolute value equation ⋮ Generalized eigenvalue problem for interval matrices ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ Fully-Automated Verification of Linear Systems Using Reachability Analysis with Support Functions ⋮ Unnamed Item

Cites Work

• Checking robust nonsingularity is NP-hard
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• Matrix Analysis
• Sufficient Conditions for Regularity and Singularity of Interval Matrices
• Positive Definiteness and Stability of Interval Matrices
• Linear Optimization Problems with Inexact Data
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on regularity and positive definiteness of interval matrices