Calculation of exact bounds for the solution set of linear interval systems
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Publication:5961705
DOI10.1016/S0024-3795(96)00681-7zbMath0869.65020OpenAlexW1964181492WikidataQ127646961 ScholiaQ127646961MaRDI QIDQ5961705
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Publication date: 11 August 1997
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00681-7
Interval and finite arithmetic (65G30) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)
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Cites Work
- Systems of linear interval equations
- Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
- Interval iteration for zeros of systems of equations
- Die Überschätzung des Wertebereichs einer Funktion in der Intervallrechnung mit Anwendungen auf lineare Gleichungssysteme
- Enclosing solutions of linear interval equations is NP-hard
- Checking robust nonsingularity is NP-hard
- Checking bounds on solutions of linear interval equations is NP-hard
- Optimale Lösung von Intervallgleichungssystemen
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- An Interval Arithmetic Approach for the Construction of an Almost Globally Convergent Method for the Solution of the Nonlinear Poisson Equation on the Unit Square
- A Quadratically Convergent Krawczyk-Like Algorithm
- Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard
- On the Solution Set of a Linear System with Inaccurate Coefficients
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