New characterizations for the solution set to interval linear systems of equations
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Publication:1664245
DOI10.1016/j.amc.2015.05.029zbMath1410.65137OpenAlexW605684370MaRDI QIDQ1664245
Publication date: 24 August 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.029
Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)
Related Items (6)
New characterizations of tolerance-control and localized solutions to interval system of linear equations ⋮ Transformations of mixed solution types of interval linear equations system with boundaries on its left-hand side to linear inequalities with binary variables ⋮ Closed form of \(L\)-localized solution set of MAX-plus interval linear system and its application on optimization problem ⋮ On solvability recognition for interval linear systems of equations ⋮ Solving interval linear programming problems with equality constraints using extended interval enclosure solutions ⋮ Tolerance-localized and control-localized solutions of interval linear equations system and their application to course assignment problem
Cites Work
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- A new technique in systems analysis under interval uncertainty and ambiguity
- Solvability of interval linear equations and data analysis under uncertainty
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Über Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten
- Introduction to Interval Analysis
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