On the solution sets of particular classes of linear interval systems

DOI10.1016/S0377-0427(02)00693-3zbMath1019.65023MaRDI QIDQ1872925

G. E. Alefeld, Vladik Ya. Kreinovich, Günter Mayer

Publication date: 19 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Toeplitz matrixinterval arithmeticsymmetric matrixskew-symmetric matrixHankel matricessolution setssystem of linear equationspersymmetric matrixlinear interval systemsbounds on the coefficient matrixbounds on the right hand side

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (12)

Parameterized solution of linear interval parametric systems ⋮ Improved enclosure for some parametric solution sets with linear shape ⋮ Enclosures for the solution set of parametric interval linear systems ⋮ Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets ⋮ New characterizations of tolerance-control and localized solutions to interval system of linear equations ⋮ Checking weak optimality of the solution to linear programming with interval right-hand side ⋮ Maximal inner boxes in parametric \textit{AE}-solution sets with linear shape ⋮ Visualizing parametric solution sets ⋮ On preconditioning and solving an extended class of interval parametric linear systems ⋮ AE solutions to interval linear systems over max-plus algebra ⋮ Interval analysis: Theory and applications ⋮ Solvability of Parametric Interval Linear Systems of Equations and Inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
• Concerning the solution set of Ax=b where \(P\leq A\leq Q\) and \(p\leq b\leq q\)
• The Cholesky method for interval data
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• The Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients
• Interval Methods for Systems of Equations
• On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set

This page was built for publication: On the solution sets of particular classes of linear interval systems