On regular and singular interval systems
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Publication:861875
DOI10.1016/j.cam.2005.07.033zbMath1108.65018OpenAlexW1973577788MaRDI QIDQ861875
Publication date: 2 February 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.033
numerical examplesiterative methodssolution setdirect methodsinterval linear systeminterval Cholesky methodtotal step methodinterval Gaussian algorithmsingular interval linear system
Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)
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Cites Work
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- A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices
- On the semi-convergence of interval matrices
- Systems of linear interval equations
- On the convergence of powers of interval matrices
- Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
- A contribution to the feasibility of the interval Gaussian algorithm
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- On the convergence of powers of interval matrices. II
- On the solution of interval linear systems
- On the applicability of the interval Gaussian algorithm
- The Cholesky method for interval data
- On overestimation produced by the interval Gaussian algorithm
- Solving the full rank interval least squares problem
- An approach to overcome division by zero in the interval Gauss algorithm
- A new technique in systems analysis under interval uncertainty and ambiguity
- On the fixed points of the interval function \([f([x])=[A][x]+[b]\)]
- Epsilon-inflation with contractive interval functions
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Enclosing solutions of singular interval systems iteratively
- Algebraische und metrische Strukturen in der Intervallrechnung und einige Anwendungen
- Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
- Iterative methods for interval inclusion of fixed points
- On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set
- On the Symmetric and Unsymmetric Solution Set of Interval Systems
- New Criteria for the Semiconvergence of Interval Matrices
- Calculation of exact bounds for the solution set of linear interval systems