Overestimation in Linear Interval Equations

DOI10.1137/0724017zbMath0617.65024OpenAlexW2023139798MaRDI QIDQ4727277

Arnold Neumaier

Publication date: 1987

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0724017

zbMATH Keywords

interval analysislinear interval equationsoverestimationquadratic approximationinclusion intervalspreconditioned fixpoint inversepreconditioned Gauss elimination

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Interval Newton operators for function strips ⋮ Solving minimax problems by interval methods ⋮ Uncertainty in thermal basin modeling: an interval finite element approach ⋮ Interval finite elements as a basis for generalized models of uncertainty in engineering mechanics ⋮ Guaranteed inclusions for the complex generalized eigenproblem ⋮ Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors ⋮ Estimation of the sensitivity of linear and nonlinear algebraic problems ⋮ On approximation of the best case optimal value in interval linear programming ⋮ Local discretization error bounds using interval boundary element method ⋮ A new framework for sharp and efficient resolution of NCSP with manifolds of solutions ⋮ Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations ⋮ On preconditioning and solving an extended class of interval parametric linear systems ⋮ Rigorous sensitivity analysis for parameter-dependent systems of equations ⋮ Further results on linear interval equations ⋮ A right-preconditioning process for the formal-algebraic approach to inner and outer estimation of AE-solution sets. ⋮ Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side

This page was built for publication: Overestimation in Linear Interval Equations