Interval iteration for zeros of systems of equations
From MaRDI portal
Publication:1064017
DOI10.1007/BF01935003zbMath0575.65045MaRDI QIDQ1064017
Publication date: 1985
Published in: BIT (Search for Journal in Brave)
global convergenceerror boundsinterval mathematicslocal methodrounded interval arithmeticquadratically convergent method
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)
Related Items (27)
An interval algorithm for nondifferentiable global optimization ⋮ Interval Newton operators for function strips ⋮ Efficient methods for enclosing solutions of systems of nonlinear equations ⋮ Interval versions of some procedures for the simultaneous estimation of complex polynomial zeros ⋮ On interval operators obtained by splitting the Lipschitz matrix ⋮ Formulation assistance for global optimization problems ⋮ On Newton-like methods to enclose solutions of nonlinear equations ⋮ Interval solution of nonlinear equations using linear programming ⋮ \textit{Helios}: A modeling language for global optimization and its implementation in \textit{Newton} ⋮ Extremal Results for Algebraic Linear Interval Systems ⋮ A ball Newton point algorithm for bounding zeros of analytic functions ⋮ The evolution and rate problems and the computation of all possible evolutions in quasi-static frictional contact. ⋮ The directional instability problem in systems with frictional contacts. ⋮ Interval Newton/generalized bisection when there are singularities near roots ⋮ Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems ⋮ Finding all solutions of a class of nonlinear equations using an improved LP test ⋮ Interval observer design for consistency checks of nonlinear continuous-time systems ⋮ Existence of a unique zero of nonlinear systems ⋮ Calculation of exact bounds for the solution set of linear interval systems ⋮ Nonlinear equations and optimization ⋮ Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method ⋮ A generalisation of the interval Newton single-step method for nonlinear systems of equations ⋮ Rigorous sensitivity analysis for parameter-dependent systems of equations ⋮ A gentle introduction to Numerica ⋮ An interval version of the secant method ⋮ Further results on linear interval equations ⋮ Convergence of Newton-like methods for nonlinear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New techniques for the analysis of linear interval equations
- An interval version of the secant method
- An improved interval Newton operator
- Abbruch beim Intervall-Gauß-Algorithmus
- Ein hinreichendes Kriterium für die Durchführbarkeit des Intervall-Gauss-Algorithmus bei Intervall-Hessenberg-Matrizen ohne Pivotsuche
- Interval Arithmetic in Matrix Computations, Part II
This page was built for publication: Interval iteration for zeros of systems of equations
