Solvability of interval linear equations and data analysis under uncertainty
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Publication:2261714
DOI10.1134/S0005117912020099zbMath1307.90215OpenAlexW2077436951MaRDI QIDQ2261714
Publication date: 13 March 2015
Published in: Automation and Remote Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0005117912020099
Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) General methods in interval analysis (65G40)
Related Items (11)
Maximum compatibility method for data fitting under interval uncertainty ⋮ Maximum consistency method for data fitting under interval uncertainty ⋮ New characterizations for the solution set to interval linear systems of equations ⋮ On the computation of derivatives within LD factorization of parametrized matrices ⋮ Solvability of the Cauchy Problem with a Polynomial Difference Operator ⋮ Solving interval systems of equations obtained during the numerical solution of boundary value problems ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves ⋮ On solvability recognition for interval linear systems of equations ⋮ Distributed networked set-membership filtering with ellipsoidal state estimations ⋮ Weak and Strong Compatibility in Data Fitting Problems Under Interval Uncertainty ⋮ Optimal control of linear systems with interval constraints
Cites Work
- Systems of linear interval equations
- The identification problem -- Theory of guaranteed estimates
- Computational complexity and feasibility of data processing and interval computations
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Interval Methods for Systems of Equations
- Linear Optimization Problems with Inexact Data
- Convex Analysis
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