Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
From MaRDI portal
Publication:3479458
DOI10.2307/2008508zbMath0701.65039OpenAlexW4240075686MaRDI QIDQ3479458
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2008508
sensitivity analysisrandom matricesinterval arithmeticNumerical examplesHilbert-matricesKrawczyk-like operatorPascal-matricesZielke-matrices
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)
Related Items (15)
Direct methods for linear systems with inexact input data ⋮ Verified solution of large systems and global optimization problems ⋮ Uncertainty in thermal basin modeling: an interval finite element approach ⋮ On regular and singular interval systems ⋮ Inner and outer bounds for the solution set of parametric linear systems ⋮ On the Solution of Parametrised Linear Systems ⋮ Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors ⋮ Topological structure preserving numerical simulations of dynamical models ⋮ Estimation of the sensitivity of linear and nonlinear algebraic problems ⋮ Local discretization error bounds using interval boundary element method ⋮ On the solution of interval linear systems ⋮ A new framework for sharp and efficient resolution of NCSP with manifolds of solutions ⋮ Exclusion regions for parameter-dependent systems of equations ⋮ Interval analysis: Theory and applications ⋮ Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
Uses Software
Cites Work
- Automatic differentiation: techniques and applications
- Solving nonlinear systems with least significant bit accuracy
- The complexity of partial derivatives
- Rigorous sensitivity analysis for parameter-dependent systems of equations
- Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
- Interval Slopes for Rational Functions and Associated Centered Forms
- A Test for Existence of Solutions to Nonlinear Systems
- Overestimation in Linear Interval Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations