Todd's maximum-volume ellipsoid problem on symmetric cones

DOI10.1515/FORM.2011.014zbMath1235.90117OpenAlexW2022985771MaRDI QIDQ3168637

Yongdo Lim

Publication date: 19 April 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.014

zbMATH Keywords

convex programminggeometric meaninterior point methodsymmetric cone

Mathematics Subject Classification ID

Convex programming (90C25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• Similarity and other spectral relations for symmetric cones
• Geometric means on symmetric cones
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• Self-Scaled Barriers for Irreducible Symmetric Cones
• Several Jordan-algebraic aspects of optimization†
• Barrier Functions in Interior Point Methods
• Self-Scaled Barriers and Interior-Point Methods for Convex Programming
• The Geometric Mean, Matrices, Metrics, and More
• Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications
• Applications of geometric means on symmetric cones
• A Jordan-algebraic approach to potential-reduction algorithms
• A new positive definite geometric mean of two positive definite matrices