Enclosing the solution set of parametric interval matrix equation \(A(p)X = B(p)\)
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Publication:1646665
DOI10.1007/s11075-017-0382-1zbMath1391.65132OpenAlexW2741922630MaRDI QIDQ1646665
Publication date: 25 June 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0382-1
Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) General methods in interval analysis (65G40)
Related Items (7)
Linear constraint problem of Hermitian unitary symplectic matrices ⋮ New parameterized solution with application to bounding secondary variables in FE models of structures ⋮ Proving endpoint dependence in solving interval parametric linear systems ⋮ Rank one interval enclosure of the parametric united solution set ⋮ On preconditioning and solving an extended class of interval parametric linear systems ⋮ Algebraic solution to interval equilibrium equations of truss structures ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)
Uses Software
Cites Work
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- Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\)
- Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\)
- Explicit description of 2D parametric solution sets
- 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
- Inner and outer bounds for the solution set of parametric linear systems
- Linear systems with large uncertainties, with applications to truss structures
- A note on epsilon-inflation
- A method for outer interval solution of linear parametric systems
- Visualizing parametric solution sets
- Improved enclosure for some parametric solution sets with linear shape
- Verification methods: Rigorous results using floating-point arithmetic
- Enclosures for the solution set of parametric interval linear systems
- Generalization of a Parametric Fixed-Point Iteration
- A Comparison of Methods for Solving Parametric Interval Linear Systems with General Dependencies
- Interval Methods for Systems of Equations
- Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard
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