Finding elliptic Fekete points sets: Two numerical solution approaches

DOI10.1016/S0377-0427(99)00382-9zbMath1010.65028OpenAlexW2092234072MaRDI QIDQ5937187

Walter J. H. Stortelder, Jacques J. B. de Swart, János D. Pintér

Publication date: 12 July 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00382-9

zbMATH Keywords

numerical examplesdifferential-algebraic equationselliptic Fekete pointsindex 2IVP algorithmsLGO program systemLipschitz global optimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Inequalities and extremum problems involving convexity in convex geometry (52A40) Numerical methods for differential-algebraic equations (65L80)

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Uses Software

• Global Optimization Toolbox For Maple
• LGO
• RODAS

Cites Work

• An open global optimization problem on the unit sphere
• Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications
• Complexity of Bezout's theorem. III: Condition number and packing
• Hecke operators and distributing points on the sphere I
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