Rigorous sensitivity analysis for parameter-dependent systems of equations

DOI10.1016/0022-247X(89)90357-0zbMath0688.65034MaRDI QIDQ1263939

Arnold Neumaier

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

sensitivityinterval analysisparameter-dependent systemssolution enclosure

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Related Items

Interval finite elements as a basis for generalized models of uncertainty in engineering mechanics, Linear systems with large uncertainties, with applications to truss structures, New slope methods for sharper interval functions and a note on Fisher's acceleration method, Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors, On first zero crossing points., Interval Newton/generalized bisection when there are singularities near roots, Local discretization error bounds using interval boundary element method, Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations, Exclusion regions for parameter-dependent systems of equations, Generalized Hukuhara differentiability of interval-valued functions and interval differential equations

Uses Software

• PITCON

Cites Work

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• New techniques for the analysis of linear interval equations
• On the monotone convergence of Newton's method
• Interval iteration for zeros of systems of equations
• An improved interval Newton operator
• Computing Perturbation Bounds for Nonlinear Algebraic Equations
• An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold
• Interval Slopes for Rational Functions and Associated Centered Forms
• Solving Interval Linear Equations
• Overestimation in Linear Interval Equations
• More on quadratic convergence in interval arithmetic