Parameterized solution of linear interval parametric systems
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Publication:295186
DOI10.1016/j.amc.2014.08.037zbMath1338.65069OpenAlexW1967909295MaRDI QIDQ295186
Publication date: 17 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.037
General methods in interval analysis (65G40) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)
Related Items (13)
Exact solution to a parametric linear programming problem ⋮ New parameterized solution with application to bounding secondary variables in FE models of structures ⋮ A new method for computing a \(p\)-solution to parametric interval linear systems with affine-linear and nonlinear dependencies ⋮ A new algorithm for Chebyshev minimum-error multiplication of reduced affine forms ⋮ Transformations of mixed solution types of interval linear equations system with boundaries on its left-hand side to linear inequalities with binary variables ⋮ Strong regularity of parametric interval matrices ⋮ Proving endpoint dependence in solving interval parametric linear systems ⋮ Parameterized outer estimation of \(AE\)-solution sets to parametric interval linear systems ⋮ Computing the spectral decomposition of interval matrices and a study on interval matrix powers ⋮ Rank one interval enclosure of the parametric united solution set ⋮ Linear interval parametric approach to testing pseudoconvexity ⋮ On preconditioning and solving an extended class of interval parametric linear systems ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)
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Cites Work
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- Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
- A method for outer interval solution of systems of linear equations depending linearly on interval parameters
- Linear systems with large uncertainties, with applications to truss structures
- Optimal value range in interval linear programming
- A method for outer interval solution of linear parametric systems
- Outer solution of linear systems whose elements are affine functions of interval parameters
- On the solution sets of particular classes of linear interval systems
- Solving linear systems whose elements are nonlinear functions of intervals
- Generalization of a Parametric Fixed-Point Iteration
- Interval solutions of linear interval equations
- On the Solution of Parametrised Linear Systems
- Worst-case tolerance analysis of linear DC and AC electric circuits
- Large-Scale Scientific Computing
- Evolutionary Optimization Method for Approximating the Solution Set Hull of Parametric Linear Systems
- Automatic computation of a linear interval enclosure
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