A characterization by optimization of the Monge point of a tetrahedron

DOI10.1007/s10957-014-0684-6zbMath1354.90093OpenAlexW2084840429MaRDI QIDQ504800

Jean-Baptiste Hiriart-Urruty, Pierre-Jean Laurent, Nicolas Hadjisavvas

Publication date: 17 January 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0684-6

zbMATH Keywords

variational principletetrahedronMonge pointquadratic convex function

Mathematics Subject Classification ID

Convex programming (90C25) Three-dimensional polytopes (52B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Orthocentric simplices as the true generalizations of triangles
• A characterization by optimization of the orthocenter of a triangle
• Pythagoras' Theorem for Areas
• Gaspard Monge and the Monge Point of the Tetrahedron
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