Direct methods for linear systems with inexact input data
From MaRDI portal
Publication:849179
DOI10.1007/BF03186535zbMath1184.65033OpenAlexW2078717201MaRDI QIDQ849179
Publication date: 25 February 2010
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jjiam/1265033782
solution setinterval arithmeticinterval linear systeminterval hullinterval Cholesky methodinterval Gaussian algorithminterval Bareiss algorithminterval Trench algorithm
Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices
- Systems of linear interval equations
- New techniques for the analysis of linear interval equations
- 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
- On regular and singular interval systems
- On the solution of interval linear systems
- Abbruch beim Intervall-Gauß-Algorithmus
- On the applicability of the interval Gaussian algorithm
- The Cholesky method for interval data
- Fast verification of solutions of matrix equations
- On overestimation produced by the interval Gaussian algorithm
- Computational complexity and feasibility of data processing and interval computations
- Computation of sharp rigorous componentwise error bounds for the approximate solutions of systems of linear equations
- Two ways to extend the Cholesky decomposition to block matrices with interval entries
- An approach to overcome division by zero in the interval Gauss algorithm
- A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
- A new technique in systems analysis under interval uncertainty and ambiguity
- Epsilon-inflation with contractive interval functions
- Eine scaling-invariante Pivotsuche für Intervallmatrizen
- Optimale Lösung von Intervallgleichungssystemen
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Enclosing solutions of singular interval systems iteratively
- Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices
- Über Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten
- Ein hinreichendes Kriterium für die Durchführbarkeit des Intervall-Gauss-Algorithmus bei Intervall-Hessenberg-Matrizen ohne Pivotsuche
- Block Methods for the Solution of Linear Interval Equations
- 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
- Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
- New Criteria for the Feasibility of the Cholesky Method with Interval Data
- Cyclic Reduction for Tridiagonal Systems of Equations with Interval Coefficients on Vector Computers
- Interval Methods for Systems of Equations
- Bounding the Solution of Interval Linear Equations
- Interval Matrices: Singularity and Real Eigenvalues
- Zur scharfen Außenabschätzung der Lösungsmenge bei linearen Intervallgleichungssystemen
- On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set
- A Comparison of some Methods for Solving Linear Interval Equations
- The Solution of a Toeplitz Set of Linear Equations
- Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard
- On the Symmetric and Unsymmetric Solution Set of Interval Systems
- A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm
- An Algorithm for the Inversion of Finite Toeplitz Matrices
- The feasibility of the interval Gaussian algorithm for arrowhead matrices
- Calculation of exact bounds for the solution set of linear interval systems