Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
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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)
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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
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