Efficient methods for enclosing solutions of systems of nonlinear equations
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Publication:2641080
DOI10.1007/BF02262218zbMath0721.65025OpenAlexW104632803MaRDI QIDQ2641080
Publication date: 1990
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02262218
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)
Related Items (2)
Inexact Newton methods on a vector supercomputer ⋮ Interval mathematics, algebraic equations and optimization
Cites Work
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- Topological proofs for certain theorems on matrices with non-negative elements
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- Iterative methods for systems of equations with interval coefficients and linear form
- A new class of interval methods with higher order of convergence
- Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method
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- On the R-Order of Newton-Like Methods for Enclosing Solutions of Nonlinear Equations
- On the Convergence of Some Interval-Arithmetic Modifications of Newton’s Method
- Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations
- Interval arithmetic multistep methods for nonlinear systems of equations
- On Newton-like methods to enclose solutions of nonlinear equations
- A Modification of Krawczyk’s Algorithm
- On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
- On the existence of a unique solution for a class of nonlinear systems of equations its calculation by iteration methods
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