Gaussian elimination for flexible systems of linear inclusions

DOI10.4171/pm/2123MaRDI QIDQ6619405

I. P. Van den Berg, Unnamed Author

Publication date: 15 October 2024

Published in: Portugaliae Mathematica (Search for Journal in Brave)

zbMATH Keywords

Gaussian eliminationneutricesflexible systemsexternal numbers

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Nonstandard models in mathematics (03H05) Vector spaces, linear dependence, rank, lineability (15A03) Linear equations (linear algebraic aspects) (15A06) Nonstandard analysis (26E35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A decomposition theorem for neutrices
• Introduction to the neutrix calculus
• Robust discrete optimization and its applications
• Adjustable robust solutions of uncertain linear programs
• Interval analysis: Theory and applications
• Uncertain linear systems
• Probabilistic properties of systems of random linear equations over finite algebraic structures
• Nonstandard analysis in practice
• The explicit formula for Gauss-Jordan elimination applied to flexible systems
• An algebraic model for the propagation of errors in matrix calculus
• Solution of the fully fuzzy linear systems using iterative techniques
• Robust Convex Optimization
• Algebraic properties of external numbers
• Cramer's rule applied to flexible systems of linear equations
• Linear programming with interval right hand sides
• Introduction to Interval Analysis
• The Price of Robustness
• The Concept of Recoverable Robustness, Linear Programming Recovery, and Railway Applications
• Light Robustness
• On linear multiparametric optimization with parameter-dependent constraint matrix
• Interval Methods for Systems of Equations
• Internal set theory: A new approach to nonstandard analysis
• Axiomatics for the external numbers of nonstandard analysis
• A parameter method for linear algebra and optimization with uncertainties
• Neutrices and External Numbers
• Multiparametric Linear Programming
• Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming

This page was built for publication: Gaussian elimination for flexible systems of linear inclusions