Box-splitting strategies for the interval Gauss-Seidel step in a global optimization method

DOI10.1007/BF02307384zbMath0811.65046OpenAlexW91280972MaRDI QIDQ1340882

Dietmar Ratz

Publication date: 20 December 1994

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307384

zbMATH Keywords

algorithmglobal optimizationefficiencyinterval arithmeticpreconditionersGauss-Seidel methodextended interval divisionbox- splitting strategies

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Related Items (2)

\textit{Helios}: A modeling language for global optimization and its implementation in \textit{Newton} ⋮ New interval methods for constrained global optimization

Uses Software

• PASCAL-XSC

Cites Work

• An interval Newton method
• Global optimization using interval analysis - the multi-dimensional case
• Bounding solutions of systems of equations using interval analysis
• Preconditioners for the Interval Gauss–Seidel Method
• Interval Methods for Systems of Equations
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