Accelerating Krawczyk-like interval algorithms for the solution of nonlinear systems of equations by using second derivatives

DOI10.1007/BF02240200zbMath0576.65042OpenAlexW372471963MaRDI QIDQ1064740

Hartmut Schwandt

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02240200

zbMATH Keywords

intervalconvergence accelerationlarge systemsarithmeticsKrawczyk-like iterative interval methods

Mathematics Subject Classification ID

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

Related Items

Existence test for solution of nonlinear systems applying affine arithmetic ⋮ Interval solution of nonlinear equations using linear programming ⋮ Finding all solutions of a class of nonlinear equations using an improved LP test

Cites Work

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• An Interval Arithmetic Approach for the Construction of an Almost Globally Convergent Method for the Solution of the Nonlinear Poisson Equation on the Unit Square
• Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
• Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations
• A Quadratically Convergent Krawczyk-Like Algorithm